{"group":{"group":{"id":54643,"name":"Basic Weather 1","lockable":false,"created_at":"2022-10-16T00:48:34.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"This is a series of problems that illustrate simple weather-related formula.  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Convert units of atmosphere density and partial pressure of gas constituents.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRisk calculations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWind Chill Factor - the effective temperature due to the cooling effect of wind blowing on a surface and potential risk of frostbite\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLoad on Roof and Deck from Snow - a traffic light of caution based on snowfall and accumulation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 204.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 289.5px 102.375px; transform-origin: 289.5px 102.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 266.5px 21px; text-align: left; transform-origin: 266.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis is a series of problems that illustrate simple weather-related formula.  Convert units of atmosphere density and partial pressure of gas constituents.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 266.5px 10.5px; text-align: left; transform-origin: 266.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRisk calculations:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.75px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 273.5px 40.875px; transform-origin: 273.5px 40.875px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 245.5px 20.4375px; text-align: left; transform-origin: 245.5px 20.4375px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWind Chill Factor - the effective temperature due to the cooling effect of wind blowing on a surface and potential risk of frostbite\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 245.5px 20.4375px; text-align: left; transform-origin: 245.5px 20.4375px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eLoad on Roof and Deck from Snow - a traffic light of caution based on snowfall and accumulation\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 266.5px 10.5px; text-align: left; transform-origin: 266.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","published_at":"2022-10-17T05:13:05.000Z"},"current_player":null},"problems":[{"id":56313,"title":"Find Air Temperature from Cricket Stridulation Rate","description":"Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs.  According to the Old Farmer's Almanac (https://www.almanac.com/predict-temperature-cricket-chirps), the sum of the number of chirps in 14 seconds and 40 is the air temperature in degrees Fahrenheit.\r\nCrickets generally do not sing at temperatures below 55 F or above 100 F. (https://entomology.unl.edu/k12/crickets/temperature.htm)\r\nUse this formula to find the approximate outdoor temperature.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 174px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 87px; transform-origin: 407px 87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eStridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs.  According to the Old Farmer's Almanac (https://www.almanac.com/predict-temperature-cricket-chirps), the sum of the number of chirps in 14 seconds and 40 is the air temperature in degrees Fahrenheit.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCrickets generally do not sing at temperatures below 55 F or above 100 F. (https://entomology.unl.edu/k12/crickets/temperature.htm)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eUse this formula to find the approximate outdoor temperature.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = getTemperature_F(nchirps_in_14s)\r\n  y = nchirps_in_14s;\r\nend","test_suite":"%%\r\nx = 20;\r\ny_correct = 60;\r\nassert(isequal(getTemperature_F(x),y_correct))\r\n\r\n%%\r\nx = 30;\r\ny_correct = 70;\r\nassert(isequal(getTemperature_F(x),y_correct))\r\n\r\n%%\r\nx = 40;\r\ny_correct = 80;\r\nassert(isequal(getTemperature_F(x),y_correct))\r\n\r\n%%\r\nx = 50;\r\ny_correct = 90;\r\nassert(isequal(getTemperature_F(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":19,"comments_count":9,"created_by":181344,"edited_by":181344,"edited_at":"2023-06-29T19:59:26.000Z","deleted_by":null,"deleted_at":null,"solvers_count":985,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-15T16:30:47.000Z","updated_at":"2026-03-25T03:38:16.000Z","published_at":"2022-10-15T16:36:28.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eStridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs.  According to the Old Farmer's Almanac (https://www.almanac.com/predict-temperature-cricket-chirps), the sum of the number of chirps in 14 seconds and 40 is the air temperature in degrees Fahrenheit.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eCrickets generally do not sing at temperatures below 55 F or above 100 F. (https://entomology.unl.edu/k12/crickets/temperature.htm)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eUse this formula to find the approximate outdoor temperature.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56318,"title":"Predict Cricket Stridulation Rate from Air Temperature","description":"Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs.  According to the Old Farmer's Almanac (https://www.almanac.com/predict-temperature-cricket-chirps), the sum of the number of chirps in 14 seconds and 40 is the air temperature in degrees Fahrenheit.\r\nCrickets generally do not sing at temperatures below 55 F or above 100 F. (https://entomology.unl.edu/k12/crickets/temperature.htm)\r\nCrickets go into hibernation phase when temperature drops below 32°F (https://www.cricketsmode.com/when-do-crickets-die/)\r\nCrickets die when temperature drops below 18°F (-8°C) for 24 hours or longe\r\nUse this formula to predit the number of chirps in 28 seconds for a given air temperature in Fahrenheit.  Return a 0 if the cricket is not expected to chirp (\u003c55 or \u003e100).\r\nReturn a -1 if the cricket is most likely hibernating (18 \u003c T \u003c=55)\r\nReturn a -2 if the cricket is most likely dead (T\u003c=18 or T\u003e=120).\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 327.188px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 163.587px; transform-origin: 407px 163.594px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eStridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs.  According to the Old Farmer's Almanac (https://www.almanac.com/predict-temperature-cricket-chirps), the sum of the number of chirps in 14 seconds and 40 is the air temperature in degrees Fahrenheit.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.188px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 51.0875px; transform-origin: 391px 51.0938px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCrickets generally do not sing at temperatures below 55 F or above 100 F. (https://entomology.unl.edu/k12/crickets/temperature.htm)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCrickets go into hibernation phase when temperature drops below 32°F (https://www.cricketsmode.com/when-do-crickets-die/)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCrickets die when temperature drops below 18°F (-8°C) for 24 hours or longe\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eUse this formula to predit the number of chirps in 28 seconds for a given air temperature in Fahrenheit.  Return a 0 if the cricket is not expected to chirp (\u0026lt;55 or \u0026gt;100).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eReturn a -1 if the cricket is most likely hibernating (18 \u0026lt; T \u0026lt;=55)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eReturn a -2 if the cricket is most likely dead (T\u0026lt;=18 or T\u0026gt;=120).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = getStridulation_chirps_per_s(temperature_F)\r\n  y = temperature_F;\r\nend","test_suite":"%%\r\nx = 60;\r\ny_correct = 40;\r\nassert(isequal(getStridulation_chirps_per_s(x),y_correct))\r\n\r\n%%\r\nx = 70;\r\ny_correct = 60;\r\nassert(isequal(getStridulation_chirps_per_s(x),y_correct))\r\n\r\n%%\r\nx = 80;\r\ny_correct = 80;\r\nassert(isequal(getStridulation_chirps_per_s(x),y_correct))\r\n\r\n%%\r\nx = 90;\r\ny_correct = 100;\r\nassert(isequal(getStridulation_chirps_per_s(x),y_correct))\r\n\r\n%%\r\nx = 30;\r\ny_correct = -1;\r\nassert(isequal(getStridulation_chirps_per_s(x),y_correct))\r\n\r\n%%\r\nx = 140;\r\ny_correct = -2;\r\nassert(isequal(getStridulation_chirps_per_s(x),y_correct))\r\n\r\n%%\r\nx = 15;\r\ny_correct = -2;\r\nassert(isequal(getStridulation_chirps_per_s(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":3,"created_by":181344,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":442,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-15T17:01:52.000Z","updated_at":"2026-02-15T16:07:09.000Z","published_at":"2022-10-15T17:01:51.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eStridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs.  According to the Old Farmer's Almanac (https://www.almanac.com/predict-temperature-cricket-chirps), the sum of the number of chirps in 14 seconds and 40 is the air temperature in degrees Fahrenheit.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCrickets generally do not sing at temperatures below 55 F or above 100 F. (https://entomology.unl.edu/k12/crickets/temperature.htm)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCrickets go into hibernation phase when temperature drops below 32°F (https://www.cricketsmode.com/when-do-crickets-die/)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eCrickets die when temperature drops below 18°F (-8°C) for 24 hours or longe\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse this formula to predit the number of chirps in 28 seconds for a given air temperature in Fahrenheit.  Return a 0 if the cricket is not expected to chirp (\u0026lt;55 or \u0026gt;100).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn a -1 if the cricket is most likely hibernating (18 \u0026lt; T \u0026lt;=55)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn a -2 if the cricket is most likely dead (T\u0026lt;=18 or T\u0026gt;=120).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56323,"title":"Air Mass to Star for an Observer at Mean Sea Level","description":"Air mass is a measure of how much atmosphere light from a source above the atmosphere (eg sun, planet, star) has to travel through to reach an observation point on the Earth surface. It’s measured as a ratio of the amount of atmosphere relative to the amount of atmosphere for an overhead (nadir) line-of-sight.\r\nTo calculate air mass, divide the value of 1 by the cosine of the zenith angle.\r\n\r\nThe elevation angle of a star is given with respect to the local astronomical horizon:\r\n\r\nWrite a function to calculate the Air Mass a star's light passes through from the line-of-sight elevation angle in degrees.  Allow the function to compute air mass for an array of line-of-sight elevation angles.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 281px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 140.5px; transform-origin: 407px 140.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAir mass is a measure of how much atmosphere light from a source above the atmosphere (eg sun, planet, star) has to travel through to reach an observation point on the Earth surface. It’s measured as a ratio of the amount of atmosphere relative to the amount of atmosphere for an overhead (nadir) line-of-sight.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 239.5px 8px; transform-origin: 239.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTo calculate air mass, divide the value of 1 by the cosine of the zenith angle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.5px; text-align: left; transform-origin: 384px 18.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 129.5px; height: 37px;\" width=\"129.5\" height=\"37\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 261.5px 8px; transform-origin: 261.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe elevation angle of a star is given with respect to the local astronomical horizon:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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style=\"width: 137px; height: 21px;\" width=\"137\" height=\"21\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to calculate the Air Mass a star's light passes through from the line-of-sight elevation angle in degrees.  Allow the function to compute air mass for an array of line-of-sight elevation angles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function airMass = getAirMass(elevation_deg)\r\n  airMass = elevation_deg;\r\nend","test_suite":"filetext = fileread('getAirMass.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'switch') || contains(filetext, 'else'); \r\nassert(~illegal)\r\n\r\n%%\r\nx = 60;\r\ny_correct = 1.1547;\r\nassert(all(abs(getAirMass(x)-y_correct)\u003c1e-4))\r\n\r\n%%\r\nx = 10:10:90;\r\ny_correct = [5.7588    2.9238    2.0000    1.5557    1.3054    1.1547    1.0642    1.0154    1.0000];\r\nassert(all(abs(getAirMass(x)-y_correct)\u003c1e-4))\r\n\r\n%%\r\nx = 1e-4;\r\ny_correct = 572957.7951;\r\nassert(all(abs(getAirMass(x)-y_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 45;\r\ny_correct = sqrt(2);\r\nassert(all(abs(getAirMass(x)-y_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 90;\r\ny_correct = 1;\r\nassert(all(abs(getAirMass(x)-y_correct)\u003c1e-3))","published":true,"deleted":false,"likes_count":5,"comments_count":3,"created_by":181344,"edited_by":223089,"edited_at":"2022-11-29T16:19:32.000Z","deleted_by":null,"deleted_at":null,"solvers_count":381,"test_suite_updated_at":"2022-11-29T16:19:32.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-15T17:28:08.000Z","updated_at":"2026-02-15T12:12:29.000Z","published_at":"2022-10-15T17:28:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAir mass is a measure of how much atmosphere light from a source above the atmosphere (eg sun, planet, star) has to travel through to reach an observation point on the Earth surface. It’s measured as a ratio of the amount of atmosphere relative to the amount of atmosphere for an overhead (nadir) line-of-sight.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTo calculate air mass, divide the value of 1 by the cosine of the zenith angle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eAirMass = \\\\frac{1}{\\\\cos\\\\theta_{Zenith}}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe elevation angle of a star is given with respect to the local astronomical horizon:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\alpha_{Elevation} =90^\\\\circ -\\\\theta_{Zenith}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to calculate the Air Mass a star's light passes through from the line-of-sight elevation angle in degrees.  Allow the function to compute air mass for an array of line-of-sight elevation angles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56328,"title":"Molar Air Density from Temperature and Pressure","description":"The molar density of air can be found from the Temperature and Pressure using the ideal gas law.\r\n\r\nwhere the Molar density STP :\r\n\r\nfrom Avagadro's number:\r\n\r\nand Loschmidt’s number STP:\r\n\r\nAnd STP Temperature and Pressure:\r\n\r\n\r\nWrite a function that finds the density of air in moles per cubic centimeter for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 489px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 244.5px; transform-origin: 407px 244.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe molar density of air can be found from the Temperature and Pressure using the ideal gas law.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.5px; text-align: left; transform-origin: 384px 20.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg 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\" width=\"193\" height=\"41\" style=\"width: 193px; height: 41px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere the Molar density STP :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 40px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20px; text-align: left; transform-origin: 384px 20px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg 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\" 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\" 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width=\"103.5\" height=\"20\" style=\"width: 103.5px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a function that finds the density of air in moles per cubic centimeter for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function rho_mole_per_cm3 = getDensity_mole_per_cm3(temperature_K,pressure_mb)\r\n  rho_mole_per_cm3 = temperature_K * pressure_mb;\r\nend","test_suite":"%%\r\ny_correct = 4.4615049e-05; % mole/cm3\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nassert(abs(getDensity_mole_per_cm3(T,P)-y_correct)\u003c 1e-8)\r\n\r\n%%\r\nT = 270:5:300; % K\r\nP = 1013.25; % mb\r\ny_correct = [4.51356e-05  4.43149e-05  4.35236e-05    4.276e-05  4.20228e-05  4.13105e-05   4.0622e-05];\r\nassert(all(abs(getDensity_mole_per_cm3(T,P)-y_correct) \u003c 1e-8))\r\n\r\n%%\r\nT = 280; % K\r\nP = 900:50:1000; % mb\r\ny_correct = [3.865898478e-05  4.080670615e-05  4.295442753e-05];\r\nassert(all(abs(getDensity_mole_per_cm3(T,P)-y_correct) \u003c 1e-8))\r\n\r\n%%\r\nT = 270:5:300; % K\r\nP = 900:50:1000; % mb\r\ny_correct = -1;\r\nassert(all(abs(getDensity_mole_per_cm3(T,P)-y_correct) \u003c 1e-8))\r\n\r\n%%\r\nT = 270:5:300; % K\r\nP = linspace(930,1110,7); % mb\r\ny_correct = [4.142716e-05    4.1986e-05  4.252488e-05  4.304486e-05   4.35469e-05  4.403193e-05  4.450079e-05];\r\nassert(all(abs(getDensity_mole_per_cm3(T,P)-y_correct) \u003c 1e-8))\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":181344,"edited_by":181344,"edited_at":"2022-10-15T18:30:03.000Z","deleted_by":null,"deleted_at":null,"solvers_count":214,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-15T18:16:03.000Z","updated_at":"2026-02-15T12:14:57.000Z","published_at":"2022-10-15T18:16:03.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe molar density of air can be found from the Temperature and Pressure using the ideal gas law.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en_{air}=\\\\frac{P}{RT}=\\\\frac{N_0}{N_A}\\\\frac{P}{P_0}\\\\frac{T_0}{T}=n_0\\\\frac{P}{P_0}\\\\frac{T_0}{T}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere the Molar density STP :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en_0 = \\\\frac{N_0}{N_A} = 4.4615049\\\\times10^{-05} (\\\\text{mole/cm}^3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efrom Avagadro's number:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eN_A = 6.022140857\\\\times10^{23} (\\\\text{molecules/mole (NIST)})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand Loschmidt’s number STP:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eN_0 = 2.6867811\\\\times10^{19} (\\\\text{molecules/cm}^{3}\\\\text{ at STP (NIST)}) \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd STP Temperature and Pressure:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_0 = 273.15 \\\\text{K}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_0 = 1013.25 \\\\text{ mb}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that finds the density of air in moles per cubic centimeter for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56333,"title":"Air Density from Temperature and Pressure","description":"The density of air can be estimated from the product of molar mass and molar density:\r\n\r\n\r\nWrite a function that finds the density of air in kg per cubic meter, for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.\r\nNote: convert values to .\r\nNote:\r\nSee Problem 56328. Molar Air Density from Temperature and Pressure for explanation of how to find the molar density of air can be found from the Temperature and Pressure using the ideal gas law.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 288px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 144px; transform-origin: 407px 144px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe density of air can be estimated from the product of molar mass and molar density:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11.25px; text-align: left; transform-origin: 384px 11.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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width=\"130\" height=\"20\" style=\"width: 130px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a function that finds the density of air in kg per cubic meter, for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eNote: convert values to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAmCAYAAABTahxxAAAAAXNSR0IArs4c6QAABptJREFUaEPtmgWINlUUhp/fxO5uwU4UW+xEbMUOsAu7uwW7W+zu7sDCRlFUVDDA7m7lkXN/7o4T3/6zO7i4F5aP3W9m7r3vPec973tmRzA8WiEwotXdwzczDGDLIBgG8H8E4ETAtMAbwF8t9z1gtw+lCNwTmAQ4EvhjwBAof9CkwPbA1sAcwEPAccAjxcMbKgAK3AXAacCTgwzehMDxwAvAXcDcwNGAoG4IvJbPP1QAXBTYC9gJ+GqQAVwX+Bm4N4u29YCbgM2Bq/oL4GjAZMDswJvA54O8geLjPeSDgR+BUweZ/9zrzMD7wO/ZQpYC7gEE13QeOaoicExgO2Cl+JkAeArYFHivYwCnAc4BDgde6XhupxOjHYF5gf2AH3oBMF0zLnA6sC1wBbAL8F3Hm1g5Dm7X4uI7WIfgLQ9YwHYD3i1Lj7p1SN4Ct0ZwkCnU5RgLOCGI++IuJ47q66FtBZiBLwcHP92fCJwTuD54YfUOKmARo1mAM4G9g387xpDEiQJpFN4CbJMXsqYqvBZwG/AosBnwYcc7sPotG9zzS8dz59MpbTxI6WTNkDj/fF8H4Oihfw4Ezo8T+KnDTYwTVfdu4PYO562aakvgMmDpPBPrAMz5zyokiF2OeUL9q/26jvyyfZqBpvHGwNvpgjoA5wduBMbPwta/+SA/5YeX4hrVeYrOsYFl4joliKS7YOjHS4HXQ2N926DpdgCmq7Furn3iIPuFgEWAyQHvE/ApgN1D/DqXCuLx2Ph4oSw8HIdZdmvNelI2WtTUpCPppA5AgboSeDBkxGcxmcRuRTw31Pmf2XG5YSv1anFa3u9k3nMNsFhc20QJNg4ujKjvI1yzuayMCwRH7h+V0rkPABYO+fUqsAIwU2hJi9FUwCnhpwV5uQgCpdr3UWlXBM4GHg5QlTL64n2BT3qpwkk+GLJpUb+GH3QR2poXC3FuyguMfrEIkE5GC7RqiNImOuiPdUtKYT5gbeCtiJJjwlEkHau/FZSTg8u0aocAR2UAGqkbBPfbRDBilS9+6ov7iOi6ImLbyA17Osn/TR3pYRqWuREr1P0htIuWJ3/eYbHAKj41Kzw4Ry/WLc3rRveI9QqSVJHPa7pqR++MrorUJKBbAIcCx46KTaxK4eT9Po4TsX2kjXNhX1bsXB6x5VNm+UypOwA5UWF6eU018hrTV+tmR6RppHnvi/S6BHgsbkrz6t+fiB+pxH6iEXZd0MAqwANNE5V9XwWgRHwe4KKUEHrAMxoiIt+I/PlFTJgiSvCfiRM3zaqG/KNkULw22UZ5MEXRp8BBgACmhmvah3Ppp3MvmyK3lccvAzDpLyfPh8XEjX1UsXM3rlI3anLRPVcUkFmD/1IElD0mVbt3olA1BUUeRTcExaR2V87jpvcmkdaJuqym9vmaClrtGsoAtGJdDSwZJ2oHxE172usDN1c8cYzgLvlknyDqGSNq/bSCyZF17XjnNtKNFFtnTSP16YxUyd/np5Hzn0DlnWyr/EVxTyuNWwZgCm3TzEV9ENFgYfiXFyzsUGJ289MHAFbuZ6Ni9+Ji+mPd8gizoloM8l5l4nGlSR/7FTq2qHGbDqv0+yKAqXnpiTmB2uibMNCeWH7Sppv66Hng69BXpoMi1YKTdGOvC0vUYRRVRXn+rDzClFZ5xc55t6wNlzx+At7rl4im6W+9LjhxQX59Tsp5aVcguxABS1wzQ0So5V+xvBFwbYAskApt+2e50K5bm9btpODJXpq2eYStE5Genp+nqK8C8jZc7vH9u8HiXtW2/X7fUozAqtLudZKwlVmQ1VICI9elijpbgJzchpsRCF2LJtw2ed2wTSQH9vLWLc+UMlpJNlTtWmzD5eAaFL7/8Bn5O5Ceg7AIYArtstJukbDNr8LXA8t1yY0Iqr+b4n6nIxBw32QlIBWyVYv0/rNCH1ZZt3xTOQhlItjDkHLK2nB69SPCG7seG7aueZTeNTf1A3s5CVPPdDU6c4liD82qrU81shW3yqCySNS6qeHk3K5fWvWyx8pr2gI4ZbgGuc4ILGt66lFNFY1/n15arKq/1q3Vhgf65rYALh7a68Qaf5uqq10RZVHxzZotKNNNG6jkGVKjLYCJrG372AAo03p6W72v/9NilBav6Y91+8+B2xZAo8vIkbR3DgeTyxb7bRK2RUKtVtSGSgqbBqla/+cAalpQWwB9fupAK54Vt89FNVYn6kTUVzYR8jf9aV3Obz/PDrKCfciNgQBwyG16IBc8DGBLNIcBbAng35hUpTa/pFXAAAAAAElFTkSuQmCC\" width=\"40\" height=\"19\" style=\"width: 40px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eNote:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSee \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56328-molar-air-density-from-temperature-and-pressure\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56328. Molar Air Density from Temperature and Pressure\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for explanation of how to find the molar density of air can be found from the Temperature and Pressure using the ideal gas law.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function rho_kg_per_m3 = getDensity_kg_per_m3(temperature_K,pressure_mb)\r\n  rho_kg_per_m3 = temperature_K * pressure_mb;\r\nend","test_suite":"%%\r\n% y_correct = 4.4615049e-05; % mole/cm3\r\ny_correct = 1.2923;\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nassert(abs(getDensity_kg_per_m3(T,P)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT = 270:5:300; % K\r\nP = 1013.25; % mb\r\ny_correct = [1.3073    1.2836    1.2606    1.2385    1.2172    1.1965    1.1766];\r\nassert(all(abs(getDensity_kg_per_m3(T,P)-y_correct) \u003c 1e-3))\r\n\r\n%%\r\nT = 280; % K\r\nP = 900:50:1000; % mb\r\ny_correct = [1.1197    1.1820    1.2442];\r\nassert(all(abs(getDensity_kg_per_m3(T,P)-y_correct) \u003c 1e-3))\r\n\r\n%%\r\nT = 270:5:300; % K\r\nP = 900:50:1000; % mb\r\ny_correct = -1;\r\nassert(all(abs(getDensity_kg_per_m3(T,P)-y_correct) \u003c 1e-3))\r\n\r\n%%\r\nT = 270:5:300; % K\r\nP = linspace(930,1110,7); % mb\r\ngetDensity_kg_per_m3(T,P)\r\ny_correct = [1.1999    1.2161    1.2317    1.2468    1.2613    1.2754    1.2890];\r\nassert(all(abs(getDensity_kg_per_m3(T,P)-y_correct) \u003c 1e-3))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":181344,"edited_by":181344,"edited_at":"2022-10-17T15:53:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":180,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-15T18:44:11.000Z","updated_at":"2026-02-15T12:21:32.000Z","published_at":"2022-10-15T18:44:11.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe density of air can be estimated from the product of molar mass and molar density:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rho_{air} = M_{air}n_{air}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eM_{air} = 28.9647  \\\\text{g/mol}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that finds the density of air in kg per cubic meter, for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNote: convert values to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ekg/m^3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNote:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSee \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56328-molar-air-density-from-temperature-and-pressure\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56328. Molar Air Density from Temperature and Pressure\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e for explanation of how to find the molar density of air can be found from the Temperature and Pressure using the ideal gas law.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56338,"title":"Pressure for a given Above Sea Level Altitude","description":"For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from:\r\n with \r\nwhere the observed surface values are:\r\nstatic pressure at base of atmosphere (sea level if h0 = 0) in mb\r\ntemperatuer at base of atmosphere in K\r\naltitude above the base of atmosphere in m\r\nbase of atmosphere (sea level if h0=0) in m\r\nand the constants are:\r\nmolar mass of Earth’s air = 0.0289644 [kg/mol]\r\nstandard temperature lapse rate [K/m] = -0.0065 [K/m]\r\nRydberg constant = 8.31432 N m/mol K \r\n9.80665 m/s^2 is the acceleration due to gravity at the surface of Earth\r\nand for altitudes above the tropopause (the base of the stratosphere) up to about 20,000 m):\r\n with \r\nwhere on average:\r\n = 11 km\r\n = 226.32 mb\r\nK\r\nWrite a function that returns the pressure in millibars as a function of altitude in meters.  The surface observation variables should be scalars.  Assume the base altitude and surface observations are made at sea level (h0=0).  The input altitude above sea level can be a vector.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 651.112px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 325.55px; transform-origin: 407px 325.556px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 51.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 25.8px; text-align: left; transform-origin: 384px 25.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg 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\" 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src=\"data:image/png;base64,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\" width=\"131.5\" height=\"20\" style=\"width: 131.5px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere the observed surface values are:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 85.5375px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 42.7625px; transform-origin: 391px 42.7687px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"56\" height=\"20\" style=\"width: 56px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003estatic pressure at base of atmosphere (sea level if h0 = 0) in mb\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"55.5\" height=\"20\" style=\"width: 55.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003etemperatuer at base of atmosphere in K\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25\" height=\"18\" style=\"width: 25px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ealtitude above the base of atmosphere in m\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"30\" height=\"20\" style=\"width: 30px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ebase of atmosphere (sea level if h0=0) in m\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eand the constants are:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 84.275px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 42.1375px; transform-origin: 391px 42.1375px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"42\" height=\"20\" style=\"width: 42px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003emolar mass of Earth’s air = 0.0289644 [kg/mol]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"27.5\" height=\"18\" style=\"width: 27.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003estandard temperature lapse rate [K/m] = -0.0065 [K/m]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"27.5\" height=\"18\" style=\"width: 27.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRydberg constant = 8.31432 N m/mol K \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAAoCAYAAACiu5n/AAAAAXNSR0IArs4c6QAAAxNJREFUaEPt2E2oVWUUBuDnamQUDYpAQSiEIGjSwIFKOgkKJCgdWVZSSKhpSWnZoB+tQDGqQQVJBGlFNSoxJyL0K2JObCAaRJNK+oGCSkMhkle+DZvTOede7j3uq+fuBQcO+2d9613rXe+3vj1iitnIFMOrBTzsFW8r3FZ4yDLQUnrICvo/OG2F2woPWQZaSg9ZQcclWtfiLtyG73ASN+Hj8vsHf+HMxZCsfpSeVoC+ioN4BN9z7sDxKF6qAVyIAwMEfAM+LImdiNtn8HzdQT/Ad+Id/F2Af1F78R68i8+Q/ycmElWXdxsHfCVex314G+sKlavYVuENfINl+HbAgM+bu14Vvh4fYC4ewyu1CC7FtkLr/ViO385bhAN2PBbA9+K92rpz8D7m4Qm8jH9r968uSYrY/YLZ2I4jA459XO56Ab4Cr+F+rMaO4v0SPFmEYDdC7YCqbGZ59qeSjFO4G5vxwICFbaCA4yzC8VYRrfRwQKTaLxQFDYjfa6tW6r0RS/B1uXdNEb9f8TD+HEOkjYtWYgqA0PapEvxp/IAv8SP+6wi8AhYW1Pt6emFE2FJPRD/cjQMO2FAxSpzq7hpDVeZjX6n+eoTOla3Azi4COAa3g32kVw9fVWh4Ow5jS9lzM2X1sjuQvk6/ZzDJBFZZtW9H7aMBkzaV9QIcGmY7irrW7ZOyP3+KULxuFaiteLpDufslY7AlHMVbN8C5tgAPFRpmTw69F9V8vVkqVRetfoBvLXTvVv1JBTwD6b/045ralpO5+kY8jvRjLIqbrauyi5LSqdKLfdQ0Ccmw8VyXXs1Utgd7S9IueNG6rJyAbh5lPs79r9DZq722pbTIs0UTFk/28FHv4Wq/zDbUL7CVRZTChvqRML5yhNzUwZAofgaYWN79o9Gm7VisU7RSvQR3HGvLdFW9kj5OIlKtHB4+6jJ8VKPl0fJcZuyl5fkH8flkgs3a3VS6+sJxC37GMVyOXM+HgHzpyJjYy2ZhAwI+c/Z15YBxqEuCGsfffsRrPOUNL9hWuOGEN75cW+HGU97wglOuwmcBHvmqKXFclVcAAAAASUVORK5CYII=\" width=\"30\" height=\"20\" style=\"width: 30px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e9.80665 m/s^2 is the acceleration due to gravity at the surface of Earth\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eand for altitudes above the tropopause (the base of the stratosphere) up to about 20,000 m):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 40.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.3px; text-align: left; transform-origin: 384px 20.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg 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6mEqwhRa7y9/zl7dStKVJNIzr3IIYkINo8jyG80oyVTAbAI8t4gusub9c4znYtOz6dow2XS+e5zvpO8OVVDEpqhv+HlHmC0zAnXpuzR3j5fMrX/+3AuuGUj1lG/pku9dPhOwH/rc7kzgfIzs7uzsMPWxhhVj+T4IIrYWO+AtmdUBj8GyPWw+tv2Hv78kMOWGUghacsuXnygR5wFhqK4LgVkEMiHtWPH22ZNXPoDCRR3z0aQkJSGy46c+Uc+81xp1wwKZbRsT6q6F75dOFymzqDO7WGzVTdVyMc7IWt/T/JkkwqLc0t+uj9AToWqhm0sUzKz7pIaTRbrar0Ygy7Pxbxv6VrlXiMOwbFsSJGSiv5dMnUzWVKKegHkO/RwZyU3BsO8stYScU5yssdnSLyzzH+azRKkbBtQ4JwmfZwfp8YxkPkNBE94XNW6TRHr2vVvPb3nhbGqQTz5e5oiswMb1kUvmTaZ1JM449T/1bNqsLDm/DwTy3bFhQojTFQB2SWC3eZfgMXWPl44t7wOCzVUBid13M9P7zS6O8F5qQu2jruQ08iCwrdvRAdLDSRZ2M32U7FwupfW+HcZsF+th4WOiTpm5mT8y5+dqHO7DtC8FlxpnIQCBPnHtOfi/WYwQkD5atL9TCJ4Fgrlq6OuWC5QSWHNBDIe++5n/iWKDIOfGN3Pt9SpPEoRcRNNkm8ooXynf3V5t3DR+ODDzMd36rlX7FQSsab7z1M6+ekYqN/zWKCRq42ZLgsQf0Hrh/vQpaxAd/nKa51P/fMdSYR3rO+/t0xtxynueypkoWKRdXjQtlSPvaJ/YOvt+ULteJmVO8yQVLPMXJjGkIDJvumYG7GSfGeWL5JkTldpzOfQ/nXo2l57fExr+f0zY2XJDiWSrfILUMTEveZf0MXWPl45NHwQthJY6uYYbQe8HtzhqfSmByxtr4GMFjH0MyOraWP6gc/5A5E5BwWl+KBTH7+gG3DN+Px5mfT/nudXYCoF9EcgPvY1O7wOzb7+7nJ9mGYvDJl+8DDIY+q9NpRFJs6UP57EiRnNh7J2WLe4WTgShV3mSIAy/PbmQ7ZJwlW8VM7EN6VLit8s9u8RzRANamD0vmZg11wkWpz4VSxIklpxUssw5zaruaZ+gFQGkaFG3sp+xvvPeDp3aBbdwtudfZ6PSW7wQfaZ+Cm2myUmBgim1VxRzzdY/PzcEAqFnuk9i2OeEQzaRv1SxvSv8A6eS6E49m0vPz02LIJLhu559J9cQpGHeS96lfB7H7vHSsSFvVDdWuaXVaJa8BymUCVwabjBHz19C4PoItCkC09eecwxZ9oVLRnwGx/TOuV4q6iI/kr71NQ0Xg3sGc6shFAL7IpCpN2xqTp3/LRcUaUM2ES1mLOqJ8faVFdLUYufcK3i5SYOVc3eJJNsW50wGnOYSY+OqwgLAfOo7xCwsrx0zDQXFQsZhm+O477JgDWa69DvadgxMsq4h6OHWG9IvipRqq+U3P+9PKkoWbmqTaE/3JskX0tSroKnmUIXSb5RKRj0WscjUicghQPwLKUx933ISUpF7c1pWGUEW9ZnvpMhlfo09mczN1phvHfch6xhSp2oJAp/z8Gwl0UsVDIkSlMP8LhACuR0m0O2fpcyLNvZs5mZk0/nwz+OGaUL6CizeIaTT2Hqspt4l+DN7Tt3jpWOTPocVTtTtmi1L3s0FPv3yNZcQuD6yh8/E2C68L/A8RfLWnOiaffV1GqdyXPXH/Jv2cK1989acU/VVCKyFQCpFa1UT2HdcFlLO3/xRLWJ9/jVkBLHjp+TDzsQy9AlLU5Ods+P41XADcbzKA/xdj9GyBiKfPUTMGOzsfcQtxMZB8ZCKwiLGUZzyIsiAuYh7h+AKZAIhPWVZs2Pgdehr+MYjVkm2kGJmVETauofQ8QtDFKhanPAt4knskIk+sCFzeyEzlFNEja8Y06v7TcFyL/2b4jXsG2F3n/3Oc5x5D1UR8cwwX3q2XZdZ1d/IvWeaesVqhpin9SyJoPEwz1MGnYPEaT1BzfJp6VhPoUNY+fJ5X/hacqEyZucbq4ADJmTXTPI69mxKLTJ3fpqZEeJ+TfZzWLICIjnuiYCMpe8SLgOHqXu8ZGyHfA4TN24ri6wdSwhcr1DxHRkrFTEkcIud8A6JxoK+h+ois4WP4rD1BO5cFrIF06tDCoG9EUilaMx1Yu/Od+xACgvvqoVD7VFEx0fPzwUDWCD6ElDDy1AgqB3InCAIFgTRoH0+rB2Htvi0THnAh4cjO3yRNWYpwRh8qfgWWbT8jrmTEpfEIU1gu5hPFw/yhg60qFNn+ATyaZL4WCQz535EiepLNUNm+IghKunnRk3qzadg8zsqLwLC9M/c5t4pFs+vjcuR+4kAjfVNbbPWes4ROVHOFGgknkqmWb+ksfE7zzvLERIimIGpN/3lKLvWLVYxREt+OEGHvfl1LEAjCY3rSUnCbKvxs0NkzcU7I0KUmpj9bXo24bLpfCTLs571T6mDMEccBRsKFoCHdyavt/RdMsdN93hubId+HXp//EUcagmB6/3fphSqvnzJWoWbDw2W/nv/tyl1cVgWp3dsPcYY6xrXgQDp34fLR9luV5AMNdeCnYuExRopsVP38dcsKD7IPmKZINTO14fNh8wOPh2THe+jzZ9TH5ylmXAsLnbyHKd9vKUHsBDMqTZ94fZziEC9jiehZlEIHAeBdG2ilm0qoXac0dRV5hBI07M1wvd6trrMHIHrc8Uk8x5mYdcH50GLgsYpdpjccm7gp/p9ysaAs4Mwj2Htt3R25ChJrs0M1acac1338hDwDFFRmE8k2ETKmMw4rN+l+ZP0xcn5ZPHTsHMebiwoA3a8Q3OfjzXzCZKYKX8QNyZQGxW1DaUkyN8Zx9AJeohsHwlWwTuX99zViG8bgcyjxhRM/ZtLMXPbaJ1+9j3f4gs7rABzxwjnCFwfnDCmrDkfsSEJO5aJlZzch1hvgiXNM/tAt4/i1wcnjClr6S9A8bDocu6Uv+fU9eH2wavOPS4Cmc+JY3pPmJhDEC7P3djGICPKSP6ZB0lfiB3H/M8f+SB7H20wJIzVmDdk7mea4x/DdEiVs8PT+vI0Y6hsLekfF9q6WiFQCEwgMJX8uQA7bwSSE9lgc/PgezjZ5ghcMngdyOrMqZAzLVPOuzX7PKkP0SH38dsQmbO0nZLA9XKl8VrUMteMhZIzMb8IJUL4E0hSyOw0FTa9dM513G0hwMGW+jYWNZlRRxCx2/KM5eagT86J4FHj+KR4JzfV3MsUGvoc5k/ys0wu6jiOwH2Kg+Gd6V0j3m8Q0Xlbd7FmWwhcDgJUfQEZLEpUHcIKhb+ijc//HvL942s5Vq/5jtFvInBD3y8ZljkK+6hrSI16ZHb5omRe2tUkO3+YfiVShlmJP5EyI3LsZPkcFRh+sDkS81VCXKsVAtsgkCZIjrljKTh6gjRmwqeAeZGZWynNmo+yItNTrSdwY6QrHa+5OozlPez7zSg0vnCLoqK2AaeOLQQKgUKgEPhVCGTA5KJsF5sIXO//4gqLoiIu6GZk0j5DrsjSC7pxFzTUJECiteaaItNjNfAENTDbS0sgao3ZNYs3j/U5R+Cc0yt/m6orZF/7uCnMzbt+XwgUAoVAIfBLCKxG4DITsuR9U4vLpYLel60wh8WlKy51wgcYNwwREyWBFGyWj0tE5SZycYBhnHWXSYAW7aYmZiKdgGAH/nPU7sxLNTXxJQSuJ5abghOKwJ3141WDKwQKgStDIIWlRcl8Nylwfe6zRfbYCwKyT04sOOFY5XMuCKJFQ/X8CFrhcHnqfFSCaJSByfxBcoGpE6i2pPQcnP5lKz+mD6OIUS+ihJa7VjHoaxy6KXNR3ksIXG+6PaQCB3OBP9UKgUKgELg1BJCx52456a02zVMEbpjgdlj2YssxTR5+qiCGPjnxPovrWjhcaj99rbxNtSmPNb/M6+f+8tn6uoigYAkOEMl5qOd4Tg2byjE4h4uxi0SS+kN6G0qcDUfObez8JQQuFTgbmWHt377P3A3u+o4UgZu7w/X7QqAQuFYETkbg5gq8rwX4qQhcn5z40Bnm1YXlcySyZO30I4fse8k9zoLNcoyJ2B3m0FvSx5rHJDGXOVzx5Ve2zlNNVvDYvT9WQErvhoCIedamcjFRxe7TijInJu6vDOjSfSBuStw8pEWVCWZQhWDYlhC49IETfLSp9udW/hhr3sjqqxAoBAqBG0RgFQWuT3A7VeD9UrEdJic+ZIJShEKmfLXnLJZrtkP2vXScSVCe0fKLrU1Ql44jj0tiPjT5S5XxJS3VTRZq3rbvXY7vCy9LBSLlzlitTeZfAQr+iO7W0nQqOvVZjfgJJPJ/kdJ84pR/GmI+R+D66HIkUF3RqVYEbpe7XucUAoVAIbAbAqsQuD7B7VT5rN2Gd/qz+uTEu5q2chZMWw9vRYlfHxE/22rbSbRKkWKyc4wix4oP88GSywvxuXfLjp3lkSRblWHfgix9hMVT2hZmSorR/VrSV9cZ61uFDOciDfJ/vUv7v7xfkreqIZftHi0dhSSBzjEGJZaUXJGYWTqVe7ZxI4oPbQkFP29QL9IYjTmrU1CZzFk+PUTpdd01XUMpJwEPala+thEQ5ZykcoHLfSPiOS2lC5On9C5IjaLRU+dnPbyemPcJapMIqaMHN7VuUwXTp59TtdQShIe5S5lD7RKQMXWP5QTMtmlsfMxEOSNdyBkyrw6ie8pVQdkrdQWZG7MaQ5pO1cTsCSdfPmZUOE9VBekJnJqC8OybxMCuI23OpnxyztnXhHr6t71GUAgUAoXA5SCwN4GTrT1NNabNf8ifayjDQX1AOiyoGsLyERHx8h3ubyoZVBHpHyzIojCZ6RCYDJRADPpF2EKutqXfW0g5/3O0VyjYcRK1Kn1iUX9Ry7snsz5Skf1M9Y0A6Vu/amcie5Qa/mnpo5ZE566N0PhbEAJTnWtk9n0kT/QxAoXkUdmQmewn/SQf0KJ4kTjXhKc/fd4wzxTiwbSJTEqOTInK1DQIkGeMP5a/Ja1FXiSepJ559jad7/YlMXctRA1ZYipEsOUrpDSJ4swo2SyALBfak9r9k6JDRHL6mM3dY9edmxsyhtQyobv3w8Y0iqwqdZMBFkynlFvPgQLUfevNsgpSI2EKsmfrCRySJ7k29dfmAnljxkWIYSRyeFPb6mOywztUpxQChUAhUAjc+f1elLqpD2KwsCM3Fi9ZnLNRQagN/nzjBSNN5UEGHtbVgzQdypOIRSY2qtDSlgQGXgqPv6QRD4XFvyci0h+L4kKBS1NX+o1R1xQal4Hfwu331CkLuYoXz2vEJR3OEZDsZ6xvizOSRf2zaFuktTSDpbks8/vxc+QnZhHnB6XSxqubOshMR6GxyCMBvbqVpCtJJAJCyVQLlxqGHCMtmeE/FTBqHOUI0UXSKF+OoQxm0XT36BURoQ7ca5r66Now2XS+eWbVEPeSKii9iQS48EPMmCGTIKm0wfxI3TQmz7h3wXEiWdN/bu4eL5mbsekb8ULAH9zIJoIpQ7rNkg0EkorgMbM+qtUv9ewwB8NCgznC9okdGZSiBNnzvHiGhgocUs9NAMFFmimQqqakclkEbukbX8cVAoVAIXBYBAgkRKBFqafmSmkddqiX33uaxygcQ98qCy1C8JEDFSUVFGQCcfrmBkOWOKIS9QSMGUsiV2QkCfSw76y3iQBRnChp2dIvLH39+hJNVCFj7FNrJOGTbyx9r5BN5lPKENL14o6gUvnUiuUrKS8c8odMIBn6pQDCxvWRS+ZNJAaJM07EpY8eRWCQMD9HsJac3/t1Zd1QZAZZRnxhlwQ25w+XHv8ktmqWIlBJcKbu8dKxHfspn/OB22Y8pcBtg9Z6x1J1vWdcF2x0xpqNk2oxIq0Rcup233pXkV1GtkgB2KXjOqcQKAQmEdjK77gI3H5PEn8zJkGmLhG1zHyIRyo3/NaYV3+ku0zeoCc3osYHLMsbPbYRHf5yGp8n/fMdG6pCfd8ZdPL0Rpz0qaVyxpSIGMmLpvW5xfogjhy37P/1RVEZAAAR+UlEQVSuR03UcjGggmX0YxJDCqJ5u2buHrLPzDeG5JkThQm5k5aiV4By/Pz4qI8UMW3p+X3VkGH9z/TnRLIf0UgdEzP10+9yHMzYiONQMZ26x0vHtt8Ttv3ZaxK4KqW1Pf5rnjGs5PGYpka/ofnQcnuwOfG+MP33KnMq0pR1LgIsBDYnwyTm/XfLRtAGiwJOAfCunzqyfE08q69C4NwRSH7AOkNE6f3I7xh7Ebj9b+fbNbMh81b606WixEyGJKQ5MwmSnXUqWUaQZlWErS8ujqRRtKhb2c9Y30lShlGFHPKZvvnXUbJ60kQJJNUyoSKZ/M3S/40ptVcU+elxvNc/PzeLwBObuTGJYZ8TLslfOsFbXPgHTiXRzfEPkwEvPT9VTX5ew3x02Tdy+MgWpGHePVYZHACHoWLq/ozd46Vj2/8J266HNQlcFbPfDvu1j+7xH1PEuAnYjNjg8eXMZzcVad+PoY/kXIlEv2eSZ9bPDena86r+CoFCYByB1YrZF8DTCFgkRZHyT9KSJKR/WCpK/KuoTaIbX9WZCpGmMaWJKsTvjHmESmbnzB+RqRORQ4BElwqS6Pvm1yfooa9Xyw/t8c0Mo8/vaP5wgipEw/ZkMgMOxnzrMqgFqdOf3X6SSGabJHq5MCBRHkIl2ARC8IkbJtC9e4sqRRqpchYMJuT0iUvkczey6XzH5nFMST3x7NN4UBqQTmPrsbLYCZqgOlAo7HoEVcCfX+HUPV46tmO/R2sSuCT0TN7XVgv52Pdll+uliubcsXrNw4TrmTFAYJJ3SkDTtw8uPFciMVV7GzbfiWqFQCFwPAQyN+6i/LSlwO12YyzeiFWSLcSDGTXrVCJ0/MIQBYsgJ3wqXBI7N6kPbFCoHPlAZpgfETWmDKZXH2IKVn6UKV7Dvpk87cT9jqnQfaWCMck+rpkvmXZd1wfa36Ix+b/5oNulI1NpFs3F2niYFClUzkHitJ6gcsLXd5p7KHQIK18+fmjMkqJ9jdn5xmphYkJ2zVQZEF1+c2n+dR2pRebOTzMzQtynvPFzWHoRlLNyTwRk8HszZrjAlglKdC0zswWRoz/TMUUVDlP3eMnYdnu69jurX/T3JV2pDEuzcsh8ifvN+DrP7v06zXCqXnOfDD3zH3qebUoE8/TvU7/Z8e+xEokCiqj1grq8L9UKgULgOAhkMB8uQVDgnrSxFYGbQ2j89xZ16gylTMSpmpdPa879yAwneKoZMuMmICrp50ZN6s2nruB3IlkREDfx2Y30CQrg12Y3LJ0HAjTWN7UNeWRCQeTu1syczKfp3IycPKH9jgonshEJsUtn6s2dtw+/3b70FciAKF3pKnrz61iARhIa1+Obw2yrCQJAZM0FqbOoUBOzvzTPjtVShcum85Esuc6y/il1EOaII+dvEa7wEPyR18v0Ifzh/BzBk4OPiVfqEgEk/PTMcdM9nhvbbk/W7mdRDDPXndxyGlKMpNoICBgZLuZzV+ujjwWHeD6rHQeB3tQ5Va95mJR87h4dq0TicRCqqxQC14VAWqOs5Ys2zEXgrusB2Gc2GahALev99vbps849HgIWc9HCY43ayhk9c+BtM6qtJP1tOq5jNyLQ+7/Jx8g/c6iIZVJm0edTiZ37i2TqH6ly+MxtqoNbt6cQKASOi0DvsiLjwzAH6B2jKQJ33Bt0zldL0xv5lsn3GhI3nzPelzK29PUb88G6lDlc4jgzSMbYx0ydAmuoxxRzCh3VW6qfTeXs0seVywZ11r1Nt4hLxKjGXAhcEwK5aeODvajAQBG4a7r9u88l/W2Qt7EozN17rjMvHYH3abnGMgimFvzD39Fhqg+KuFJrXCXeprlb8JHllsD9QU5F7hJTUd454vRx9f9FTtKHn2pdoRAoBBoC/LD5YC9K4uucInD17NylBWRIq8EMJ/8MvzF+e9UKgTStk/f78miFzOEQ6E2dY1fh6ykQRzQ6v9JMU7RpRL2DtOMW+dgcborVcyFQCAwQ4BsveEhpS1kmBANubEXg5hCq3xcCt41A71groEQ+vWqHRaA3dQr4sbkSWZo535C2TOy9dCSZ+keAi9J3RcaXIlfHFQKHR6BX3YdpsyavXgTu8DemrlAIXDICfTqLPmv/Jc/p3MfemzoTc34xItpFXGvDpN1zc8rUPwh5ksKqsjCHWv2+EDgOAhl1Lj3ZB7Wyk7NXLgI3C1EdUAjcPAIZ4FKBDId/FIapQXrVU7oieR6RMOly+pq9cyPLZOOOKyI+h9YvYSy6l2P5A5rJOutWz59dRxQC2yGQeVRfu01wURG47UCuowuBW0Qg/eBUthiWKrtFPA45597UOSyfJbHyF7Xk09ukAZFeRoQq1U7bN8HzIed/Tn1nWTHVb7Y1Wa85D+Y1eTZFDSPioo7lB1U55gNaLtLPbgEta163+joeAhl1vlVwURG4492gulIhcKkI9KpQ+cEd9i72ps6h4pnJwD+rDYGjsw/+XMqfJOCUpKmccoed1WX2PlXT+lSzSSVcknTJXpVkzDrNb19+jae6LXtft/d/k5j+OUt7LAK3FKk6rhC4bQQyH9xWO8Tbhmyn2femzrHyWX0t0+e3hVxVlU2tL68mevUTIkLN4jWahKPSH6g8sykH3bbXynKASuI9Y9uTVzo+U+go8XcOuTHz2aCmZtnBfnPFpK7ySrXLQqAvpbmV0lsE7rJudI22EDgVAu/coiClrKgEsIe5C33EryuMZWNnxlZH+WHNlKaWr5JwU21pTdVdZiRaFmFQL5lv3lrNmFWLELSBlLx4rY637GesZOCWXax2+FSZpd48Ljdg1qZe7cLV0cERSN9WGxV1iBeXPCwCd/B7UxcoBK4CATL/JzcH+DKjHuaW9uWzJE6WVPsHRi6VaqhfSfC76aPf11SdIoVTs7lH85uTj4q6JhJWbeRXRoR60NIdSG+CUL6g5aS7T3P+v2tE8Mt6cPOb/MyIyCCAd2rKoYVKcmIl3pgAFfBW0/fj2yaBjxczsnx3KkdoCOwHRwS/NGPSl77VPc42NW5lAvmMvUdE3LONGwl9aMu5RdmSooVJOpWtd2tjlQfR+MxHzVnEtTdd57hsdNRU/upWQ9p7IxiCD9t9m3ns+1sf8vmpcW1TBNv3joj3jYh3iAjO7PDLGs75bKhn67n4rjZZJF/uMPWOP2bgB0e9hNX9Wik9eFIVv6Ll+9TFFFbf1OE5Nbc50/1h3pLr6jW/q49pvq2bNmN3zLwI3HU9DDWbQuCQCDCVfXnL+r/VTvGQg7qSvi3gTJsWbW2Tr1qqoRb8TTVQU8myYFNwtiFwSWAQMWTN3xKMKtn1nRGRyYZ/IiIeHRE/0/q/d0Q8u6UqQfz49HHQFkCBaDyyJQ5Hgl7azK+yzzPB2iCoJpFkRVLx/JnuEaDPbUqwKNzXN/IqsCaDa+bGnfUmERcYI1CIIPUDGc1+0m/w2xqBfK+I+KpGmFUjgYlgAhgjXcZPiZRFH9FDrFKpdm9Vy1B71t/KnyF5kqVL3ooIfVpE/HAjo/dvGfn7YJN0cv+aNmf38yGNoH1tRDyznZ+vw7tGxJMjgpkdVsaJoLofSQDnsFoytyt5/U42jfSzfF0j4P5e3IrALYaqDiwEbh6BNN8hDhah7715RNYBgELDVIg8JNHSMzIgZ9uzBtUWhqW2lNN6WotQ/emmHvGloRZRl/o+EZLnNhVN+a0pc00qdxYYfXGYp/AgCwhMJhtGWihw6f+WfmNfHxHPa2ROFQg+d6o/fGz7Yxxalg/60M4Mm2Sl/9m9GsmiDH1Sh0eqkZkXb27c6UNIBUPCEODejyxJUwaTwPVVrR4tAkkNRCIRMXNOBQwBQwIpiFRDCqpxwjerYLjPr2gEj9+i++ja/Oss3IJSEGF9P7CRO8pif7/9DgZI40c15c1m6iXdo+ieGcu3NmJJ4UtTq2fBvCl8c1gtmds6b8Dt9uIZtzHYNq/jLyJWBO52H5yaeSGwCwIWOKSC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width=\"224.5\" height=\"20\" style=\"width: 224.5px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere on average:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 65.1px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 32.55px; transform-origin: 391px 32.55px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"20\" style=\"width: 79.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e = 11 km\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"81\" height=\"20\" style=\"width: 81px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e = 226.32 mb\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a function that returns the pressure in millibars as a function of altitude in meters.  The surface observation variables should be scalars.  Assume the base altitude and surface observations are made at sea level (h0=0).  The input altitude above sea level can be a vector.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function P_mb = getPressure_mb(h_m,Tsurface_K,Psurface_mb)\r\n  P_mb = Psurface_mb;\r\nend","test_suite":"%%\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nh = 0;\r\ny_correct = 1013.25;\r\ngetPressure_mb(h,T,P)\r\nassert(abs(getPressure_mb(h,T,P)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nh = 16; % m - height of Oak Tree\r\ny_correct = 1011.224;\r\nassert(abs(getPressure_mb(h,T,P)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nh = 443.2; % m - height of Empire State Building or about a hobby drone\r\ny_correct = 958.33014;\r\nassert(abs(getPressure_mb(h,T,P)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nh = 10700.004; % m - Boeing 747\r\ny_correct = 216.24366;\r\nassert(abs(getPressure_mb(h,T,P)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nh = 11e3; % m - tropopaus\r\ny_correct = 205.57793;\r\nassert(abs(getPressure_mb(h,T,P)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT = 273.15; % K\r\nP = 1013.25; % mb\r\nh = 14e3; % m - in the stratosphere\r\ny_correct = 136.14154;\r\nassert(abs(getPressure_mb(h,T,P)-y_correct)\u003c 1e-3)\r\n\r\n%% \r\nT = 290;\r\nP = 1015;\r\nh = [0:12]*1e3;\r\ny_correct = [1015 900.9948 797.58743 704.00716 619.52303 543.44262 475.11092 413.90918 359.25373 310.5949 267.41584 229.23143 193.56176];\r\nassert(all(abs(getPressure_mb(h,T,P)-y_correct)\u003c 1e-3))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":181344,"edited_by":181344,"edited_at":"2022-10-15T22:49:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":136,"test_suite_updated_at":"2022-10-15T22:49:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-15T19:11:19.000Z","updated_at":"2026-03-02T11:58:45.000Z","published_at":"2022-10-15T22:49:13.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP(h)=P_{surface} \\\\left[ 1 + \\\\frac{L}{T_{surface}} \\\\left( h-h_0 \\\\right) \\\\right]^{\\\\left( \\\\frac{-g_0M_{air}}{RL} \\\\right)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\\\\in h\\\\le h_{stratosphereBase}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere the observed surface values are:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{surface}=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003estatic pressure at base of atmosphere (sea level if h0 = 0) in mb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_{surface}=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003etemperatuer at base of atmosphere in K\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003ealtitude above the base of atmosphere in m\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003ebase of atmosphere (sea level if h0=0) in m\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand the constants are:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eM_{air}=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003emolar mass of Earth’s air = 0.0289644 [kg/mol]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003estandard temperature lapse rate [K/m] = -0.0065 [K/m]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eRydberg constant = 8.31432 N m/mol K \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg_0=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e9.80665 m/s^2 is the acceleration due to gravity at the surface of Earth\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand for altitudes above the tropopause (the base of the stratosphere) up to about 20,000 m):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP=P_{stratosphereBase}  \\\\text{  exp} {\\\\left( \\\\frac{-g_0M_{air}(h-h_{stratosphereBase})}{RT_{stratosphereBase}} \\\\right)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\\\\in h\u0026gt; h_{stratosphereBase}\u0026lt;h\u0026lt;20000 m\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere on average:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_{stratosphereBase} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 11 km\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{stratosphereBase} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 226.32 mb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_{stratosphereBase} = T_{surface} - 71.5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that returns the pressure in millibars as a function of altitude in meters.  The surface observation variables should be scalars.  Assume the base altitude and surface observations are made at sea level (h0=0).  The input altitude above sea level can be a vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56343,"title":"Partial Pressure of Water Vapor from Relative Humidity","description":"Buck (1996, 1981) published the following constants for the saturation pressure of water*:\r\n 6.1121 (mb)\r\nThe saturation pressure, , in millibars, can be found the Atmospheric Temperature, , given in Celcius:\r\n\r\n\r\nThe vapor pressure of water (partial pressure of water), , in millibars, can be found from the Relative Humidity, , as a percentage value, and the saturation pressure, , in millibars, using:\r\n\r\nWrite a function to calculate the vapor pressure of water given temperature in Celcius and Relative Humidity as a percentage value.  The dimensions of input values (either both scalar or both vector) should be the same.  If they are not, return a value of -1.\r\n* Note: For humidifiers and other devices that make conversions, use the vendor contants.\r\n\r\nAccording to (https://www.engineeringtoolbox.com/relative-humidity-air-d_687.html) Relative humidity (RH) should be within certain limits for control of the health aspect.\r\nBacteri : 20 - 70% RH\r\nViruses : 40 - 80% RH\r\nFungi : 0 - 70% RH\r\nMites : 0 - 60% RH\r\nRespiratory infections : 40 - 50% RH\r\nAllergic Rhinitis and Asthma : 40 - 60% RH\r\nChemical interactions : 0 - 40% RH\r\nOzone production : 75 - 100% RH\r\nCombined Health Conditions : 40 - 60% RH\r\nIn general - relative humidity for human comfort ranges 30 - 60% RH.\r\nBuck, A. L. (1981), \"New equations for computing vapor pressure and enhancement factor\", J. Appl. Meteorol., 20: 1527–1532\r\nBuck (1996), Buck Research CR-1A User's Manual, Appendix 1.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 780.138px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 390.062px; transform-origin: 407px 390.069px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eBuck (1996, 1981) published the following constants for the saturation pressure of water*:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 21.7px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 10.85px; transform-origin: 391px 10.85px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e 6.1121 (mb)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 22.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11.25px; text-align: left; transform-origin: 384px 11.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe saturation pressure, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24\" height=\"20\" style=\"width: 24px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, in millibars, can be found the Atmospheric Temperature, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eT\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, given in Celcius:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg 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\" width=\"435.5\" height=\"35\" style=\"width: 435.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe vapor pressure of water (partial pressure of water), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16.5\" height=\"20\" style=\"width: 16.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, in millibars, can be found from the Relative Humidity, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, as a percentage value, and the saturation pressure, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24\" height=\"20\" style=\"width: 24px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, in millibars, using:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANgAAABGCAYAAACuTFreAAAAAXNSR0IArs4c6QAAEXxJREFUeF7tnQXQLjcVht8Cg7vr4DYUKV7c3d3d3V2LuxR3d4pbGRhcSykwuBct7m7zDDmdTJrdnOxuvv/f+2Vn7tz2fptscpKTY+852Uv96RToFGhGgb2a9dw77hToFFBnsL4JOgUaUqAzWEPi9q47BTqD9T3QKdCQAp3BGhK3d90p0Bls+/bASSQ9VdK7JL1l+6ZfnPH1JPHnvpJ+Uny78EJnsLkUXFf7k0l6oaRPS3qapH8tMPyTS7qFpKtJuvhAf3+UdIikAyW9StKhmfeOIenGkvaVdENJx4ne+YqkAyS9XNIPw7+fVtJNJV1L0gWid38j6RWSXiDp2xPmdyRJN5F0HUl3lnTYhD4Ob9IZbA711tUW5tpf0i8lPUDSnxce/tkkvUnSOUO/9wqb/J+S9pb0KEnXlgQD3EfSawcY/JiSniXpdqGfd0i648hG30fSGyWdWdLPJN1M0odnzu0oQYKdT9Ld5zBZZ7CZK7GS5keT9DhJZyps1jnTOWvY6OeW9KUghb4ZdXh6Sa+XdKHACDeS9LHMB1MGu26QXkNju3CQjEi8t0m6raTfzplIaHvccCD9IRxIf53SZ2ewKVRbVxvWGNULCXJrSZ9sNPzLh41O96+WdFdJqIb2HFXSEyXdO/zDEyQ9XNK/k/GcMki3S0lCNbyBpG+MjBnphjrIM9Tn1CmfPczl6eFw+G9tR53Baim2vvfZJEgO1KgnZzb0EjNiHz1U0mNCZ6iAz8h0DEPtF/4dWxBmSyXDRSW9L9hgOGFQFX8/MEjsNr4Dk/FcU9I7l5hQ6IN58X0OCw6pr9f23RmslmLrep8NCFOdQ9LNl/CKDUz/eJJeErxvSK0rZyRlygwPCRIn7TKWSDAkqu2Q5IilXU4tXWK1ThAcQ78LB0KV7doZbIkl2L19XDbYJbicYYBqFcc5tdj++lTwwpm3z7owSYqNxm+4wg9K+q+VSLG0y6mlzuEXX0MyvkjSHSThdHE/ncHcpFrdi8eS9BxJuLNbSi8Ic41o4+VUv1MFVe76wS7DHsRTmNpfjPV1ki4y4ChJFwEVE/uIZ0gtXWLhTIrRFxLW7UTpDLYE+XdnHya92MzYKa2k15GD7fXgQAY2/bMl4eo+aYhTcfLjvser+GhJbx5w0ZccJTGl8Ro+NxweQ2rpkitDXIz4GoeVW4p1BltyCXZPX7jlsb3YsEiNrzYc2omDp+1KA98g7oV6iuPisxmnhjVLHSU1Qx5SS2v6KL1r0vVbku7mjSN2BiuRdZ2/49RASrCh3Zth4lQJxgK7OkWAXuF1O2EU82IMeOC+X+g/dZQQ/zp4pM1VAiqEV4Y8khOnlG1mkvpWQSp/ztN5ZzAPldb3DsFWpAaoBhATLZ+c1w+4ES57UxthupcWBhEjQT4SYFA/HWiTqqV3CkzWcp70bSosTiOX2l1isKtKunpQMziVcg969ReDXspJVuXGbE2Rmf3X4Ow+Ggx0gqKt7B3PdMw2AeGAp+7LnkYT3xnz+pkNyHiwXUqSNHaUsHkfJOkfA+OK1VLgUezRL0ycQ00zUxNh/LH43OF9lhjMXgTM+crwP8QbMPSIsuOpAl/2MEm4akEJ3KMg2msmtFveBYGOd+tyYUCPCDYOOLszhvlDI4xtbB+AtJOgNQtM2FzmAF1dm2DGN8fiUHjekFrsjxITpBKpJHljtfT9YT/+asY8vE3tQLmM9/DyMlisBuROFzwsbw2jJJJ+e0m/8I56Be/FGym3WeLNxHRKG6TllE0SLA0byo15LA7F3sKjyGHDM6ZW1UqklvCo0tpYaMC1xh4GSzFkuY7j+AUDvOQAkLM0+N36u+fEjGMy2D/3lPSXDU+I9Xxk+AOYFnhUy6cUhzpXcHyAdB+TNB762jxStXQT84xpaHaY6wDzMFh8uqB25PT6EwVj+ophJC7ubrnyC/dN3tFrQp9DhI3f+UAw0n+98DhK3Zn9RY7UFSR9ptRgxu9xHGroULVgN5431GfUxQ9lvlkjkeLDfGg/zphWsak5Y8hpw1QaDTp7GCw+Xd4z0GnKYCzuB4tDXccLqQQfOjFjBmsJ2xmjmm0+4mCM8zsNSRzDo3AwDH0vpgsBaHLR/h6NqxYeFQejS2DgFtM3exyzoEhjD4N5TpdSLlCLiW6qz9j+Gjox0yBpCaTaauymkn2vsQTFDY8KbDClsUBvnAeWwyAy5jdIAqs4JAmNXkhEfADY+Dw7oYpXaQklBvOcLgbpBwzJg1FL6kJ8SrXaUJvo15M+AdYOqXXpESDrJsZ6CUmEC1oGXgHr4nJP0/pRi5EoxN1iD2rqISSs8+IAQkYC4H3lgLYH7zSOMgLleKx5rDwAaJG4LAFq57slweCk5GxCJY95opgeU2KwEviS9myqlwUioEIS9PvxQrspVT2ndjtnw8WGfE4ycaI9KdRvYMFJMcdeS4GsU8de087UsVIcqabP/u4RKWB5bbeM0CRZOpUYLNZ3OSmIcZFCjYpwlqCD8hE2GcVMiIf9aMEV2WkGSw15jFowdTyklCMxSMaj6EoJyLogWQa7MnWeOJ0lP27iu9v2DWOwIp3HGCy1K0BrUC/BxDkbCiMarBm1EL4m6T97GKVj2xLQKkBPcH4wnlVK+q6k90pCReLw2cnHvfA7Ocg94NumKcxisBh8CU32JM+gd41j+M5OeQa9Y+U9t+pS02l/9wgUMAZ7Xgig/22IRmMSLA4SbiIdYLetY2qct0zoW2LucZB5T4tDLkGfJfswBiva9mMMFscvih0tOfpd0lccYN9EQt/cacferc5gc6k53n42g6XB1U2lA6TT2kknRxxgL6VPtF1OX++dwXx0WuKt2QxWArcuMUhPHzvJYCWAs2f8S79DdV48tY8PCPW0f7PBvBIMuxrnTH/+TwGcWjiySs9sBouDq5tMByhNbFO/pwF274ZtOT7y8SjcCYD4gQOB/M5g81aglsEmOzni4KoLNZzMC/uFEslE/ZGGLDygSDYuJzDPY3cwZ6q0DEsCSk8T8rLwNBF8Job48aRuIPg2TkXCIDhXcPefP9CN9BguI+AiAuJthAT4Q35aCjTtbvrSyi7zu+VHTnLTk8ULxotsZh6qAPGnNkuXqkIUjbSMaAqvWFF9gtOti7FMJSWOHzY7bnkeT/nmoW+ZJDx2CEjzN6celZ6IK/ItkO93CRVvPxHUFC5R4HdQITCbxSRhNOBFQ1nKPdA8ddXr2rkPstiLyGZgY5GOYmknfJYAK7gw/uRSDcaGZnGkOIYG3B+gKHhF+t5NDxKX04n0irhEAhLn7SGruwbvZrFEpDiFX7hvinoZoGJIOwcpQ111EDJIJQ4xS4cgG5i6hkg964f/BjkyNIYOlWq/m6rCISWo1Nzh2s0X9w8AVL53m6AaAs6slYpzx7Pp9swX5nlmcEyQDGl3cp0uYBZBwqA2G0CWQwksY5w7ZTFJ7scaqy+P7YwU3MawyqbWdlGw79xBG9SI0xmxeobAYIBjqfW9DY9degfy2pwllk5/v+Q+K6tniP0alzozTYBSZYaFzNFuU+kqa183EPlWzqD2thnTJtDyikmtrSWYufu5UdEQ50iutG752hesNH7LeUJFxI5CimHjwVCopDgyeHBskPKB59ZuHjFECcxFikh851b6XaM3cUy+M4fOjI0iPzA6Kr1HNUYqowJzqHDRH/eRUT8QIDj/P/bMaUueGHSEPucNNERbSIHn7HdSXp4f0mpijaK0hvZ7VVJrawazOBauZbJe2TibKK/lJVbL97CHKPxDZrcF7rlmFRuXXDnqZeCssHu02JRPCfYvcS4YDUbE7oIZ6Qu7lfeGaGiX11m5vSm0NsYiFMBJ7yl/gPOK+ZrHmQpkjJ2NzybmpMcLykGbPnPa0hfga1TiUwdaoiKTNc0NL9zgwm2XlH8jAxnbmmRNHEdkRky5YtYACEi+YtWuTTEYpxNXirJYe7rdZRsIlRh9nb/JMmCjIcnw9LGpONVB5aM2shmp304eHfXWwT3iceS/yQim3iQOD+w0khFB8OeeOANiSjEYGAqvJv0zHpw+HgbjWyTcklVhnk8bnyWjwvxcAJjesTWnrdmx0BW0kdn10MGynqE1dKas2+fDelBbnsTQKXuxqmpXawZDXyWtnJgNJ8mUCbWUMq36RmIhbY4fJA+Le57g7EDFM/c8J/7RA33wJnJBAsmrlMAjToinkXZ4MEkNohgnUmmMjrYBassWMCY2I7UeY09ZicFsk+NgyV33avYmme6p82VOW1RnJBXSnsMqZWwk6g+ieKNl3uO5rbohJdok8QHmAh+0ZrBWG7j3O0wBcyzF6ucUelmsp8RgVqZ77AI8Qwb9KanrPqdtDOfLMTY2LGElixlSOo5SBQSHc3dDe2hUXTW5M5iHrOt6x0ql7eNwiozNzMNgccb3WIWnGBljktVUYGyh2rZIcLOF0A7Se5wZF9Ke0gn8bpfAY/tOcWwYnaqrJncGWxfzeEdrkiF3snv78DBYzDhjuLwYtG2JqwTy7bK92rakD1nMLydhsckob71/cBLhZMHhgZMDtXHqYxWs3bmBncGmknp3t7OTlgpTaR1C78g9DGZAAiTGGC4vDs5a8i7XHR0YHBC1bQk/GHPDbNhbFkZAgsNMXDiBlxCcJ7bfATMcG9Bs0p1rncG8221d7w0FrGtm4WEwKxNHv14mMVuNcAMHwJS25igCJUM4AYcDTjSYC281rnr6NiQNsbHUCVJDC96ddGh1Bqsl83reZ/NT0BNGKd3NlZuVh8HirHcvg/Gti0kyD2INg1lbQ1/g9SSuSCAc7yfqH7A0gNLYaaiKhA+4eKIWsZHSBLUbm26o/Hd2Z3QGWw/D1I7U1DJUsSm33XgYLC4K5GUwu52G+JjddVzb1hNAZ/7gNg8LeXTEGtnvgKlBuVwwoExgwFKpQWhIKID0oCoXf2ew2m27rvdNigG2rr3p0sNg5miokUKmIpIziCo3pe0YXMxWCOwnrnpzbKA2I+kAVhObBTWDmgqShkTWMSgXkhp4FdISu9H9dAZzk2qVL5p7mlMbWM/PK2bhYbC48phXCtlFESA7cM8Tn6ptW7rUAumIkwPVGDXZ8hBhpDQoDfMgwYZiY4ZEoZSA4UPdZOwM5ibVal9kA+MaBx3Cye0t6e1hMK+bHhwgYwAjaTEvUC4eN32u7e9HVgOEB270vSPHBuogaBgeoGDxBeZIYezBnIQ3Jwlq4Vii6+BwOoOtlm+qBs7m2C/YHgc5W3oYLHa/e4PFlPQmQx44GU4DNm9t27FDgowEMvKR2Mw1rpCWuysaNRobK3dZoWU3oFZOwi52BnPutpW/ZirSvmFDY/iXHg+D0YcFtceK01q8jPdjL9yctrnxc18AwWUuorfE1Ph+7Vz5QcZwSCZDwfL4SDEilvjnEsFyv3cGm0K1dbYhRsSm4/FsGC+DxVc3DZVXtyJKlJ2IvXBz2uZWAXsKhgF+BWPwWPyKZN80QRIJDC3wJFpOHm2mHEjZXdEZbJ3MMnXUnOag2ilAxN9WviDXn5fBaGspJ9hUqSPAmIgNDgOk8ag5beNxY0ehAqJ2mvuf3w0UjC2XJqyiAiLVSQWyDAWYC0kH1IocNo+0H1yPzmBTt+p624EBJE2GRFBsn9xDmhG5aDAENUPi8gW599mUxNpgSiQCjEYOnEkI2g/lA85pa2OhD+w6DhAYPFbnDNVCAmZ8v7hBqkDYx/hE3qESGuUcSlnYxV3QGaxIoq16ASlD8BhQa3yTJIBaLlfEzsJeyTkZLIiLcwH7heRR+js4VOOKVbCUqHPa0heOCjykFFTKlbTjeloKBpG+Qv4YthoQK/CJU1NXXBujM5iLTP2lXUwBCrnikudvalgOeRiRbthn3MhKGT7iYYe2nldnsNYU7v1vNQU6g2318vfJt6ZAZ7DWFO79bzUFOoNt9fL3ybemQGew1hTu/W81BTqDbfXy98m3pkBnsNYU7v1vNQU6g2318vfJt6bA/wCLk8SDSD1c6AAAAABJRU5ErkJggg==\" width=\"108\" height=\"35\" style=\"width: 108px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a function to calculate the vapor pressure of water given temperature in Celcius and Relative Humidity as a percentage value.  The dimensions of input values (either both scalar or both vector) should be the same.  If they are not, return a value of -1.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e* Note: For humidifiers and other devices that make conversions, use the vendor contants.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAccording to (https://www.engineeringtoolbox.com/relative-humidity-air-d_687.html) Relative humidity (RH) should be within certain limits for control of the health aspect.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 183.938px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 91.9625px; transform-origin: 391px 91.9688px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eBacteri :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e20 - 70% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eViruses :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e40 - 80% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFungi :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0 - 70% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eMites :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0 - 60% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRespiratory infections :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e40 - 50% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAllergic Rhinitis and Asthma :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e40 - 60% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eChemical interactions :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0 - 40% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOzone production :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e75 - 100% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCombined Health Conditions :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e40 - 60% RH\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn general -\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.engineeringtoolbox.com/relative-humidity-d_895.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003erelative humidity for human comfort\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eranges\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e30 - 60% RH\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eBuck, A. L. (1981), \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://doi.org/10.1175/1520-0450(1981)020%3C1527:NEFCVP%3E2.0.CO;2\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e\"New equations for computing vapor pressure and enhancement factor\"\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eJ. Appl. Meteorol.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e20\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e: 1527–1532\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eBuck (1996), \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"/#null\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003eBuck Research CR-1A User's Manual, Appendix 1.\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Pv_mb = getVaporPressure_mb(T_K,RH_percent)\r\n  Pv_mb = T_K;\r\nend","test_suite":"%%\r\nT_C = 22; % C\r\nRH_percent = 80.0; % percent\r\ny_correct = 21.1536; % mb\r\nassert(abs(getVaporPressure_mb(T_C,RH_percent)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT_C = -5; % C\r\nRH_percent = 80.0; % percent\r\ny_correct = 3.2147; % mb\r\nassert(abs(getVaporPressure_mb(T_C,RH_percent)-y_correct)\u003c 1e-3)\r\n\r\n%%\r\nT_C = -7:5:23;\r\nRH_percent = 50*ones(size(T_C)); % percent\r\ny_correct = [1.6914    2.5889    3.7900    5.3637    7.4880   10.3195   14.0492]; % mb\r\nassert(any(abs(getVaporPressure_mb(T_C,RH_percent)-y_correct)\u003c 1e-3))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":181344,"edited_by":181344,"edited_at":"2022-10-16T00:33:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":120,"test_suite_updated_at":"2022-10-15T23:58:30.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-15T23:09:34.000Z","updated_at":"2026-03-02T12:02:08.000Z","published_at":"2022-10-15T23:58:30.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBuck (1996, 1981) published the following constants for the saturation pressure of water*:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{sat0}=\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 6.1121 (mb)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe saturation pressure, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{sat}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, in millibars, can be found the Atmospheric Temperature, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, given in Celcius:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{\\\\mathrm{s}}\\\\left(T \\\\right) =P_{sat0} \\\\exp \\\\left(\\\\left( 18.678 - \\\\frac{T} {234.5}\\\\right)\\\\left( \\\\frac{T} {257.14 + T} \\\\right)\\\\right)\\n,                   \\\\text{over liquid water}, {{T}} \u0026gt; 0 °C\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{\\\\mathrm{s}}\\\\left(T \\\\right) =P_{sat0} \\\\exp \\\\left(\\\\left( 23.036 - \\\\frac{T} {333.7}\\\\right)\\\\left( \\\\frac{T} {279.82 + T} \\\\right)\\\\right)\\n,                   \\\\text{over ice}, {{T}} \u0026lt; 0 °C\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe vapor pressure of water (partial pressure of water), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_v\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, in millibars, can be found from the Relative Humidity, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, as a percentage value, and the saturation pressure, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{sat}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, in millibars, using:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_{v} = P_{sat}\\\\left( \\\\frac{RH}{100\\\\% } \\\\right)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to calculate the vapor pressure of water given temperature in Celcius and Relative Humidity as a percentage value.  The dimensions of input values (either both scalar or both vector) should be the same.  If they are not, return a value of -1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e* Note: For humidifiers and other devices that make conversions, use the vendor contants.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAccording to (https://www.engineeringtoolbox.com/relative-humidity-air-d_687.html) Relative humidity (RH) should be within certain limits for control of the health aspect.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBacteri :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e20 - 70% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eViruses :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e40 - 80% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFungi :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0 - 70% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMites :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0 - 60% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRespiratory infections :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e40 - 50% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAllergic Rhinitis and Asthma :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e40 - 60% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eChemical interactions :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0 - 40% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOzone production :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e75 - 100% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCombined Health Conditions :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e40 - 60% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn general -\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.engineeringtoolbox.com/relative-humidity-d_895.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003erelative humidity for human comfort\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eranges\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e30 - 60% RH\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBuck, A. L. (1981), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://doi.org/10.1175/1520-0450(1981)020%3C1527:NEFCVP%3E2.0.CO;2\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\\\"New equations for computing vapor pressure and enhancement factor\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eJ. Appl. Meteorol.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e20\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: 1527–1532\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBuck (1996), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBuck Research CR-1A User's Manual, Appendix 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56358,"title":"Calculate Wind Chill Factor","description":"The NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures:\r\nCalculates wind speed at an average height of 5 feet, the typical height of an adult human face, based on readings from the national standard height of 33 feet, which is the typical height of an anemometer\r\nIs based on a human face model\r\nIncorporates heat transfer theory based on heat loss from the body to its surroundings, during cold and breezy/windy days\r\nLowers the calm wind threshold to 3 mph\r\nUses a consistent standard for skin tissue resistance\r\nAssumes no impact from the sun, i.e., clear night sky\r\n       \r\n Where, \r\nWindChill = effective temperature (oF)\r\nT = Air Temperature (oF)\r\nV = Wind Speed (mph)\r\nWrite a script that calculates the wind chill factor for a given wind speed between 0 and 60 miles per hour and a given temperature between -45 and +45 degrees Farhenheight.  The output values should be rounded to the nearest integer.\r\n\r\nMore Information:\r\nYOUTUBE Everyday Math: The Wind Chill Formula Explained\r\nNational Weather Service: Wind Chill Chart\r\nSource: https://www.weather.gov/ffc/wci ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 990.812px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 495.4px; transform-origin: 407px 495.406px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 163.5px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 81.75px; transform-origin: 391px 81.75px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculates wind speed at an average height of 5 feet, the typical height of an adult human face, based on readings from the national standard height of 33 feet, which is the typical height of an anemometer\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIs based on a human face model\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIncorporates heat transfer theory based on heat loss from the body to its surroundings, during cold and breezy/windy days\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eLowers the calm wind threshold to 3 mph\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eUses a consistent standard for skin tissue resistance\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAssumes no impact from the sun, i.e., clear night sky\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 42.2px; border-block-end-color: rgb(60, 60, 60); border-block-start-color: rgb(60, 60, 60); border-bottom-color: rgb(60, 60, 60); border-inline-end-color: rgb(60, 60, 60); border-inline-start-color: rgb(60, 60, 60); border-left-color: rgb(60, 60, 60); border-right-color: rgb(60, 60, 60); border-top-color: rgb(60, 60, 60); caret-color: rgb(60, 60, 60); color: rgb(60, 60, 60); column-rule-color: rgb(60, 60, 60); font-family: Helvetica, Arial, sans-serif; font-size: 20px; font-weight: 700; line-height: 20px; margin-block-end: 5px; margin-block-start: 20px; margin-bottom: 5px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 20px; outline-color: rgb(60, 60, 60); padding-block-start: 10px; padding-top: 10px; perspective-origin: 384px 21.1px; text-align: left; text-decoration: none; text-decoration-color: rgb(60, 60, 60); text-emphasis-color: rgb(60, 60, 60); transform-origin: 384px 21.1px; white-space: pre-wrap; margin-left: 4px; margin-top: 20px; margin-bottom: 5px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e       \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-7px\"\u003e\u003cimg 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\" width=\"613\" height=\"32\" style=\"width: 613px; height: 32px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Where, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3125px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 30.65px; transform-origin: 391px 30.6562px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWindChill = effective temperature (oF)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eT = Air Temperature (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eo\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eV = Wind Speed (mph)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a script that calculates the wind chill factor for a given wind speed between 0 and 60 miles per hour and a given temperature between -45 and +45 degrees Farhenheight.  The output values should be rounded to the nearest integer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 424.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 212.4px; text-align: left; transform-origin: 384px 212.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"https://www.weather.gov/images/safety/windchill21.gif\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eMore Information:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=M0p4i444wrs\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eYOUTUBE Everyday Math: The Wind Chill Formula Explained\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.weather.gov/safety/cold-wind-chill-chart\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eNational Weather Service: Wind Chill Chart\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSource: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.weather.gov/ffc/wci\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://www.weather.gov/ffc/wci\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function WindChill_F = getWindChill_F(T_F,V_mph)\r\n  WindChill_F = 0;\r\nend","test_suite":"%%\r\nT_F = 0\r\nV_mph = 5\r\ny_correct = -11; % cold\r\nassert(isequal(getWindChill_F(T_F,V_mph),y_correct))\r\n\r\n%%\r\nT_F = -5\r\nV_mph = 10\r\ny_correct = -22; % frostbite will occur in 30 minutes if skin is unprotected\r\nassert(isequal(getWindChill_F(T_F,V_mph),y_correct))\r\n\r\n%%\r\nT_F = -20\r\nV_mph = 30\r\ny_correct = -53; % frostbite will occur in 10 minutes if skin is unprotected\r\nassert(isequal(getWindChill_F(T_F,V_mph),y_correct))\r\n\r\n%%\r\nT_F = -45\r\nV_mph = 15\r\ny_correct = -77; % frostbite will occur in 5 minutes if skin is unprotected\r\nassert(isequal(getWindChill_F(T_F,V_mph),y_correct))\r\n\r\n%% \r\nt_F = 40:-5:-45;\r\nv_miles_per_hr = 0:5:60;\r\n[T_F,V_mph] = meshgrid(t_F,v_miles_per_hr);\r\ny_correct = -5521;\r\nassert(isequal(sum(sum(getWindChill_F(T_F,V_mph))),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":181344,"edited_by":181344,"edited_at":"2022-10-16T05:22:30.000Z","deleted_by":null,"deleted_at":null,"solvers_count":227,"test_suite_updated_at":"2022-10-16T05:22:31.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-16T05:12:44.000Z","updated_at":"2026-02-25T04:54:15.000Z","published_at":"2022-10-16T05:22:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculates wind speed at an average height of 5 feet, the typical height of an adult human face, based on readings from the national standard height of 33 feet, which is the typical height of an anemometer\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIs based on a human face model\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIncorporates heat transfer theory based on heat loss from the body to its surroundings, during cold and breezy/windy days\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLowers the calm wind threshold to 3 mph\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUses a consistent standard for skin tissue resistance\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAssumes no impact from the sun, i.e., clear night sky\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"heading\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e       \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eWindChill = 35.74 + 0.6215 T - 35.75 (V^{0.16}) + 0.4275 T (V^{0.16})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Where, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWindChill = effective temperature (oF)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eT = Air Temperature (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eo\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eV = Wind Speed (mph)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a script that calculates the wind chill factor for a given wind speed between 0 and 60 miles per hour and a given temperature between -45 and +45 degrees Farhenheight.  The output values should be rounded to the nearest integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"419\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"639\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMore Information:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=M0p4i444wrs\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eYOUTUBE Everyday Math: The Wind Chill Formula Explained\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.weather.gov/safety/cold-wind-chill-chart\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eNational Weather Service: Wind Chill Chart\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSource: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.weather.gov/ffc/wci\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://www.weather.gov/ffc/wci\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.gif\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"https://www.weather.gov/images/safety/windchill21.gif\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56373,"title":"Snow Accumulation and Structural Risks To Residential Properties","description":"The density of snow depends on the amount of liquid water it contains:\r\nDry Snow is about 50 kg/m^3\r\nWet Snow is about 200 kg/m^3\r\nA typical residential property roof becomes stressed at 98.7 kg/m^2 (20 pounds per square foot) and could collapse at about 145 kg/m^2 (30 pounds per square foot) load (weight) before it collapses.  A deck is typically designed (by code) to withstand 195 to 293 kg/m^2 (40 to 60 pounds of snow per square foot).\r\nFor this script, assume that existing snow cover has the density of wet (saturated) snow and that the recent snowfall (past 24 hours and future precipitation) due to a current, steady snowstorm has the density of dry snow.  Also assume that the snowfall is accumulating completely on the roof/deck structure and none is blown, falls, melts, etc. during the snowstorm. \r\nWrite a script that has the following input parameters:\r\nDepth of old, accumulated, saturated snow that existed on the roof at snowstorm onset in centimeters\r\nRate of snowfall accumulation in current storm in cm/hr.\r\nDuration of the snowstorm in decimal hours\r\nAnd the following output parameters with some nominal hard-wired stress thresholds:\r\nLoad after the snowstorm in kg/m^2\r\nFlag of Roof Structural Status: 0=no concern, 1=stressed (\u003e 98 kg/m^2), 2=might collapse (\u003e145 kg/m^2)\r\nFlag of Deck Structural Status: 0=no concern, 1=stressed (\u003e 195 kg/m^2), 2=might collapse (\u003e293 kg/m^2)\r\nSource:\r\nhttps://www.homeserve.com/en-us/blog/home-improvement/roof-snow-load/\r\nPrevent Roof Collapse on Your Home\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 603.375px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 301.688px; transform-origin: 407px 301.688px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe density of snow depends on the amount of liquid water it contains:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.875px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4375px; transform-origin: 391px 20.4375px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDry Snow is about 50 kg/m^3\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWet Snow is about 200 kg/m^3\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA typical residential property roof becomes stressed at 98.7 kg/m^2 (20 pounds per square foot) and could collapse at about 145 kg/m^2 (30 pounds per square foot) load (weight) before it collapses.  A deck is typically designed (by code) to withstand 195 to 293 kg/m^2 (40 to 60 pounds of snow per square foot).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor this script, assume that existing snow cover has the density of wet (saturated) snow and that the recent snowfall (past 24 hours and future precipitation) due to a current, steady snowstorm has the density of dry snow.  Also assume that the snowfall is accumulating completely on the roof/deck structure and none is blown, falls, melts, etc. during the snowstorm. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a script that has the following input parameters:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3125px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 30.65px; transform-origin: 391px 30.6562px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDepth of old, accumulated, saturated snow that existed on the roof at snowstorm onset in centimeters\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRate of snowfall accumulation in current storm in cm/hr.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDuration of the snowstorm in decimal hours\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAnd the following output parameters with some nominal hard-wired stress thresholds:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3125px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 30.65px; transform-origin: 391px 30.6562px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eLoad after the snowstorm in kg/m^2\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFlag of Roof Structural Status: 0=no concern, 1=stressed (\u0026gt; 98 kg/m^2), 2=might collapse (\u0026gt;145 kg/m^2)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFlag of Deck Structural Status: 0=no concern, 1=stressed (\u0026gt; 195 kg/m^2), 2=might collapse (\u0026gt;293 kg/m^2)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSource:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.875px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4375px; transform-origin: 391px 20.4375px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://www.homeserve.com/en-us/blog/home-improvement/roof-snow-load/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://www.homeserve.com/en-us/blog/home-improvement/roof-snow-load/\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://www.mutualbenefitgroup.com/insurance-101/storm-center/prevent-roof-collapse-on-your-home/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrevent Roof Collapse on Your Home\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [snowload_kg_per_m2,flag_roof,flag_deck] = getSnowLoad_kg_per_m2(wet_snow_cm, snowfall_cm_per_hr, snowfall_duration_hr)\r\n  snowload_kg_per_m2 = wet_snow_cm;\r\n  flag_roof = 0;\r\n  flag_deck = 0;\r\nend","test_suite":"%%\r\nwet_snow_cm = 0;\r\nsnowfall_cm_per_hr = 0;\r\nsnowfall_duration_hr = 0;\r\n[snowload_kg_per_m2,flag_roof,flag_deck] = getSnowLoad_kg_per_m2(wet_snow_cm, snowfall_cm_per_hr, snowfall_duration_hr);\r\nassert(snowload_kg_per_m2 == 0);\r\nassert(flag_roof == 0);\r\nassert(flag_deck == 0);\r\n\r\n%%\r\nwet_snow_cm = 0;\r\nsnowfall_cm_per_hr = 6.5;\r\nsnowfall_duration_hr = 12;\r\n[snowload_kg_per_m2,flag_roof,flag_deck] = getSnowLoad_kg_per_m2(wet_snow_cm, snowfall_cm_per_hr, snowfall_duration_hr);\r\nassert(abs(snowload_kg_per_m2 - 39)\u003c1e-3);\r\nassert(flag_roof == 0);\r\nassert(flag_deck == 0);\r\n\r\n%%\r\nwet_snow_cm = 0;\r\nsnowfall_cm_per_hr = 6.5;\r\nsnowfall_duration_hr = 24;\r\n[snowload_kg_per_m2,flag_roof,flag_deck] = getSnowLoad_kg_per_m2(wet_snow_cm, snowfall_cm_per_hr, snowfall_duration_hr);\r\nassert(abs(snowload_kg_per_m2 - 78)\u003c1e-3);\r\nassert(flag_roof == 0);\r\nassert(flag_deck == 0);\r\n\r\n%%\r\nwet_snow_cm = 20;\r\nsnowfall_cm_per_hr = 6.5;\r\nsnowfall_duration_hr = 24;\r\n[snowload_kg_per_m2,flag_roof,flag_deck] = getSnowLoad_kg_per_m2(wet_snow_cm, snowfall_cm_per_hr, snowfall_duration_hr);\r\nassert(abs(snowload_kg_per_m2 - 118)\u003c1e-3);\r\nassert(flag_roof == 1);\r\nassert(flag_deck == 0);\r\n\r\n%%\r\nwet_snow_cm = 30;\r\nsnowfall_cm_per_hr = 8.5;\r\nsnowfall_duration_hr = 24;\r\n[snowload_kg_per_m2,flag_roof,flag_deck] = getSnowLoad_kg_per_m2(wet_snow_cm, snowfall_cm_per_hr, snowfall_duration_hr);\r\nassert(flag_roof == 2);\r\nassert(flag_deck == 0);\r\nassert(abs(snowload_kg_per_m2 - 162)\u003c1e-3);\r\n\r\n%%\r\nwet_snow_cm = 50;\r\nsnowfall_cm_per_hr = 8.5;\r\nsnowfall_duration_hr = 24;\r\n[snowload_kg_per_m2,flag_roof,flag_deck] = getSnowLoad_kg_per_m2(wet_snow_cm, snowfall_cm_per_hr, snowfall_duration_hr);\r\nassert(flag_roof == 2);\r\nassert(flag_deck == 1);\r\nassert(abs(snowload_kg_per_m2 - 202)\u003c1e-3);\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":181344,"edited_by":181344,"edited_at":"2022-10-17T02:23:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":170,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-17T01:42:11.000Z","updated_at":"2026-02-13T14:18:02.000Z","published_at":"2022-10-17T02:23:20.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe density of snow depends on the amount of liquid water it contains:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDry Snow is about 50 kg/m^3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWet Snow is about 200 kg/m^3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA typical residential property roof becomes stressed at 98.7 kg/m^2 (20 pounds per square foot) and could collapse at about 145 kg/m^2 (30 pounds per square foot) load (weight) before it collapses.  A deck is typically designed (by code) to withstand 195 to 293 kg/m^2 (40 to 60 pounds of snow per square foot).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor this script, assume that existing snow cover has the density of wet (saturated) snow and that the recent snowfall (past 24 hours and future precipitation) due to a current, steady snowstorm has the density of dry snow.  Also assume that the snowfall is accumulating completely on the roof/deck structure and none is blown, falls, melts, etc. during the snowstorm. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a script that has the following input parameters:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDepth of old, accumulated, saturated snow that existed on the roof at snowstorm onset in centimeters\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRate of snowfall accumulation in current storm in cm/hr.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDuration of the snowstorm in decimal hours\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd the following output parameters with some nominal hard-wired stress thresholds:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLoad after the snowstorm in kg/m^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFlag of Roof Structural Status: 0=no concern, 1=stressed (\u0026gt; 98 kg/m^2), 2=might collapse (\u0026gt;145 kg/m^2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFlag of Deck Structural Status: 0=no concern, 1=stressed (\u0026gt; 195 kg/m^2), 2=might collapse (\u0026gt;293 kg/m^2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSource:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.homeserve.com/en-us/blog/home-improvement/roof-snow-load/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://www.homeserve.com/en-us/blog/home-improvement/roof-snow-load/\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mutualbenefitgroup.com/insurance-101/storm-center/prevent-roof-collapse-on-your-home/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrevent Roof Collapse on Your Home\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56353,"title":"Convert Volume Mixing Ratio to Density","description":"The partial pressure of a constituent gas species of the atmosphere can be expressed in parts per million by volume.  For example, the amount of carbon dioxide in the atmosphere is about 400 ppm.  \r\nWrite a script that takes as input parameters the air parcel characteristics at some altitude above ground:\r\nObserved Temperature of Air in K\r\nObserved Pressure of Air in mb\r\nThe (string) name of the gas consituent\r\nThe parts per million (by volume) of the gas consituent\r\nand outputs:\r\nThe density of the gas consituent (in mg/m^3)\r\nIf the input gas name is 'DRY_AIR' and the partial pressure in PPMV is 1e6 (all the particles), the output will be the mass density of the air (roughly, since there are slight changes for humidity).  For other molecules, such as CO2 (carbon dioxide) or O3 (ozone), the value is the mass density of those consituents of the atmosphere. \r\nTo make the conversion, first find the molecular density (molecules/cm3) of air (mix of all gases N2, O2, etc.) for the given temperature and pressure.\r\nThe molecular density (also known as the number density) of air can be found from the Temperature and Pressure using the ideal gas law.\r\n\r\nusing Loschmidt’s number STP:\r\n\r\nAnd STP Temperature and Pressure:\r\n\r\n\r\nConvert the molecular density to the mass density by multiplying\r\n\r\nusing Avagadro's number:\r\n\r\nand \r\n=the molar mass (g/mole) of the molecule.\r\nThe molar mass of ozone ('O3') is 47.9982.  The molar mass of carbon dioxide ('CO2') is 44.010.  The function template has a lookup table of common atmosphere gas constituents.\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 950.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 475.375px; transform-origin: 407px 475.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe partial pressure of a constituent gas species of the atmosphere can be expressed in parts per million by volume.  For example, the amount of carbon dioxide in the atmosphere is about 400 ppm.  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.5px 8px; transform-origin: 330.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a script that takes as input parameters the air parcel characteristics at some altitude above ground:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 40.8667px; transform-origin: 391px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 105.5px 8px; transform-origin: 105.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eObserved Temperature of Air in K\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 99px 8px; transform-origin: 99px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eObserved Pressure of Air in mb\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 124.5px 8px; transform-origin: 124.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe (string) name of the gas consituent\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 171.5px 8px; transform-origin: 171.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe parts per million (by volume) of the gas consituent\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.5px 8px; transform-origin: 39.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand outputs:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 10.2167px; transform-origin: 391px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 143px 8px; transform-origin: 143px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe density of the gas consituent (in mg/m^3)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.5px 8px; transform-origin: 378.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the input gas name is 'DRY_AIR' and the partial pressure in PPMV is 1e6 (all the particles), the output will be the mass density of the air (roughly, since there are slight changes for humidity).  For other molecules, such as CO2 (carbon dioxide) or O3 (ozone), the value is the mass density of those consituents of the atmosphere. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382.5px 8px; transform-origin: 382.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTo make the conversion, first find the molecular density (molecules/cm3) of air (mix of all gases N2, O2, etc.) for the given temperature and pressure.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe molecular density (also known as the number density) of air can be found from the Temperature and Pressure using the ideal gas law.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.5px; text-align: left; transform-origin: 384px 20.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 129.5px; height: 41px;\" width=\"129.5\" height=\"41\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.5px 8px; transform-origin: 99.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eusing Loschmidt’s number STP:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 21.7167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 10.8583px; transform-origin: 391px 10.8583px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.8583px; text-align: left; transform-origin: 363px 10.8583px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 328.5px; height: 21px;\" width=\"328.5\" height=\"21\"\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116.5px 8px; transform-origin: 116.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAnd STP Temperature and Pressure:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 43.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 21.7167px; transform-origin: 391px 21.7167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 21.7167px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.8583px; text-align: left; transform-origin: 363px 10.8583px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 87px; height: 20px;\" width=\"87\" height=\"20\"\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 21.7167px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.8583px; text-align: left; transform-origin: 363px 10.8583px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 103.5px; height: 20px;\" width=\"103.5\" height=\"20\"\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 201.5px 8px; transform-origin: 201.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConvert the molecular density to the mass density by multiplying\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 40px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20px; text-align: left; transform-origin: 384px 20px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 138.5px; height: 40px;\" width=\"138.5\" height=\"40\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.5px 8px; transform-origin: 82.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eusing Avagadro's number:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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style=\"width: 312px; height: 21px;\" width=\"312\" height=\"21\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAAoCAYAAACvpem4AAAEE0lEQVRoQ+2ZS6hNURjH750TMSJxiwEhBl4lBhKlTD1iYOQxMEMxkCTkMZCBR0yFoqQUA0bkMSEDBhQGjLxizv9X63/7rLvP2evUOfblnl1fe++zv73291//77XWGRwYI8fgGME50Af6vzHdZ7TP6D86A3Wue0K4VkqWBnyvdT2nEO9M6T2XjAv613V9U3KtcIyuqNUB9Ude6WJ2uvmk89TCrz/OJumk7vcVvttVtVKgPzJWJuv+S40l+/X8aKYzS/dvu4qgcLASoGs01t1svDqgdlles9t24vKF5perlQAlTvdKMNTuu6kmxnDZCckMv3NR9zvKTeuuZglQ4vN7EtjlaAfULrs28wTu73XX/PLR6oBO0lCfJSQRDpjlaMWOXfaKdG4EoD91PUNSF9fllneoWQd0p8Y7J4GN1QVA7bLLpXtMsj3Z80TnZR3a1lX1OqDUunWJjUWBoSrD7bJ261iSGisrnq06oB+l+DIxGrNvnkHtsneku1Fil/d3lujiWVcp6nCwdkAXa6ynkgPJDaPxxNz48C1cdrpkhYQ6Cdir6TkNxjxJY/GJHe2A2hUjG78CONdSl5+YiXH5DUmXTEuMN3q0A0qTMD9jA1eekiymy4FlWKd/hUUfUW+XfjzfKMoaRmEvBxB7Vxg8JKExsMuCh3h9E4A11vbFyW3FqGMsZwOW3TS4U8qbB5ckvoMOpabR+MSQVkAv6Bk1MGfD8ejJyhnn9zgZVc8b8eJWQIkx2r583RmBkk2jyxpAXOnU9cR/DXQVUJeVKjZiLa1KMn7XAEpWOWTnhemF9zofr3B14h69IclEyQPJNskWiZd9fPuI5IWEzYJY7ipd167XDiglY3OFQdFtsb0dUAy7L3mUxkKfvpq4vi3xAp2YPyg5K6Gt9GTG+kz2Z5IYi1JGadwtGd4giIzC1mFJ3DYB0GmJVx0eEAbiAhqX3ipx6cFoDhtNzOcLblrEaZJVEndNZPq4g+HE5qaFMe1VsT77N7em2EmXNtxf17WANrgX5xyUM70BuExhPP22M7fB56Hj2l2ZF5oEakbdSlKj5waGHQY5INfyvCLE/DGidjcJlFi7JWHRQNNBjF0OYWLGY2Y3mFYbdC6LI/JLk0Axar2kquGvAkTcPZSwNQMQ4vZrikVnX7v7iIloEqjrLQnrTDLecRjbSDI393tSoqDMsMOxIMUunsDmAFnaK6xRwyhui+HfEqvO1jEeKRGwxi4ihp+SsMvBFioJivJBtibWP0jeSYbSmIzzR9vZBKMuYzYUosi4lxKontjUk0GTi7U6kTVxt7isQ5daDBN5ja4ZruxxE0BZlJNJ8781Wk1AGZIarSaAkjBIHmx/0peyeOCaP6PIxD1Z0jUBtCsMdTpIH2inMzba9X8DhyH2KUtmqJUAAAAASUVORK5CYII=\" style=\"width: 29px; height: 20px;\" width=\"29\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132px 8px; transform-origin: 132px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=the molar mass (g/mole) of the molecule.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.5px 8px; transform-origin: 378.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe molar mass of ozone ('O3') is 47.9982.  The molar mass of carbon dioxide ('CO2') is 44.010.  The function template has a lookup table of common atmosphere gas constituents.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [rho_mg_per_m3] = convertPPMV2MassDensity(T,P,gasname,PPMV)\r\n\r\nGAS = {'O3', 'CO2', 'N2O', 'CO', 'CH4', 'O2', 'NO', 'SO2', 'NO2', 'NH3', ...\r\n'HNO3', 'OH', 'HF', 'HCL', 'HBR', 'HI', 'CLO', 'OCS', 'H2CO', ...\r\n'HOCL', 'N2', 'HCN', 'CH3CL', 'H2O2', 'C2H2', 'C2H6', 'PH3', ...\r\n'COF2', 'SF6', 'H2S', 'HCOOH', 'DRY_AIR', ...\r\n'AR', 'NE', 'HE', 'KR', 'H2', 'XE'};\r\n\r\n% [g/mol] Molecular Weight\r\nM = [47.9982, 44.010, 44.0128, 28.0101, 16.04246, 31.9988, 30.0061, ...\r\n64.0638, 46.0055, 17.03052, 63.01284, 17.00734, 20.0063432, ...\r\n36.46094, 80.91194, 127.91241, 51.4524, 60.0751, 30.02598, 52.46034, ...\r\n28.0134, 27.02534, 50.48752, 34.01468, 26.03728, 30.06904, ...\r\n33.997581, 66.0069064, 146.0554192, 34.08088, 46.02538, 28.9647, ...\r\n39.948, 20.180, 4.003, 83.798, 2.016, 131.293];\r\n\r\nrho_mg_per_m3 = 0;\r\n\r\nend\r\n","test_suite":"%%\r\nP = 1013.25; % (mb)\r\nT = 288.15; % (K)\r\nPPMV = 1e6; % all the air at US1976 ground 0\r\ngasname = 'DRY_AIR';\r\n[rho_mg_per_m3] = convertPPMV2MassDensity(T,P,gasname,PPMV);\r\nassert(abs(1.225-rho_mg_per_m3*1e-6)\u003c1e-4) % air at sea level is ~1.2 kg/m3\r\n\r\n%%\r\nP = 1013.25; % (mb)\r\nT = 288.15; % (K)\r\nPPMV = 400;\r\ngasname = 'CO2';\r\n[rho_mg_per_m3] = convertPPMV2MassDensity(T,P,gasname,PPMV);\r\nassert(abs(744.5214-rho_mg_per_m3)\u003c1e-2) % CO2 density/partial pressure\r\n\r\n%%\r\nP = 1013.25; % (mb)\r\nT = 288.15; % (K)\r\nPPMV = 0.1;\r\ngasname = 'O3';\r\n[rho_mg_per_m3] = convertPPMV2MassDensity(T,P,gasname,PPMV);\r\nassert(abs(0.2030-rho_mg_per_m3)\u003c1e-3) % O3 density in polluted air\r\n\r\n%%\r\nP = 25.49; % (mb)\r\nT = 273.15-51.6; % (K)\r\nPPMV = 5; % ozone from 3 to 10 ppmv in stratosphere\r\ngasname = 'O3';\r\n[rho_mg_per_m3] = convertPPMV2MassDensity(T,P,gasname,PPMV);\r\nassert(abs(0.3321-rho_mg_per_m3)\u003c1e-3) % O3 density/partial pressure\r\n\r\n%%\r\nP = 420; % (mb)\r\nT = 666; % (K)\r\nPPMV = 3;\r\ngasname = 'HE';\r\n[rho_mg_per_m3] = convertPPMV2MassDensity(T,P,gasname,PPMV);\r\nassert(abs(0.0911-rho_mg_per_m3)\u003c1e-3) % O3 density/partial pressure","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":181344,"edited_by":223089,"edited_at":"2023-03-09T12:47:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":108,"test_suite_updated_at":"2023-03-09T12:47:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-16T03:46:49.000Z","updated_at":"2026-02-13T14:21:04.000Z","published_at":"2022-10-17T05:01:51.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe partial pressure of a constituent gas species of the atmosphere can be expressed in parts per million by volume.  For example, the amount of carbon dioxide in the atmosphere is about 400 ppm.  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a script that takes as input parameters the air parcel characteristics at some altitude above ground:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eObserved Temperature of Air in K\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eObserved Pressure of Air in mb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe (string) name of the gas consituent\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe parts per million (by volume) of the gas consituent\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand outputs:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe density of the gas consituent (in mg/m^3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the input gas name is 'DRY_AIR' and the partial pressure in PPMV is 1e6 (all the particles), the output will be the mass density of the air (roughly, since there are slight changes for humidity).  For other molecules, such as CO2 (carbon dioxide) or O3 (ozone), the value is the mass density of those consituents of the atmosphere. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTo make the conversion, first find the molecular density (molecules/cm3) of air (mix of all gases N2, O2, etc.) for the given temperature and pressure.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe molecular density (also known as the number density) of air can be found from the Temperature and Pressure using the ideal gas law.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eN_{air}=\\\\frac{P}{RT}=N_0\\\\frac{P}{P_0}\\\\frac{T_0}{T}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eusing Loschmidt’s number STP:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eN_0 = 2.6867811\\\\times10^{19} (\\\\text{molecules/cm}^{3}\\\\text{ at STP (NIST)}) \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd STP Temperature and Pressure:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_0 = 273.15 \\\\text{K}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP_0 = 1013.25 \\\\text{ mb}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert the molecular density to the mass density by multiplying\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rho_{air}=\\\\frac{M_{gas}}{N_A}\\\\frac{PPMV}{1\\\\times10^6}N_{air}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eusing Avagadro's number:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eN_A = 6.022140857\\\\times10^{23} (\\\\text{molecules/mole (NIST)})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eM_{gas}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e=the molar mass (g/mole) of the molecule.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe molar mass of ozone ('O3') is 47.9982.  The molar mass of carbon dioxide ('CO2') is 44.010.  The function template has a lookup table of common atmosphere gas constituents.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"no_progress_badge":{"id":53,"name":"Unknown","symbol":"unknown","description":"Partially completed groups","description_html":null,"image_location":"/images/responsive/supporting/matlabcentral/cody/badges/problem_groups_unknown_2.png","bonus":null,"players_count":0,"active":false,"created_by":null,"updated_by":null,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"created_at":"2018-01-10T23:20:29.000Z","updated_at":"2018-01-10T23:20:29.000Z","community_badge_id":null,"award_multiples":false}}