Calculating partial molar property

I want to calculate partial molar property of species i in a binary mixture, which is defined as " abari". Its molar property is defined as " a" and is a function of mole fraction (" yi"). How can I calculate this partial molar property " abari" as a function of mole fraction " yi" in Matlab?

[KALYAN ACHARJYA]

Maybe all Matlab users are not a chemist, we have no idea what molar property is? Explain the maths, what is the equation, what result you are expecting and mentioned the typical values of all contents and defined variables.

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[Sepanta Gharib]

assuming that

a = 2*y1+4*y2^2

and want to calculate " abar" that would obviously be a function of y1 & y2.

The rest of the things said, I think is clear.

Example of a manual calculation is as follows:

Answer 1

[Star Strider]

You will need to use the Symbolic Math Toolbox for this:

syms n n1 n2 
y1(n1) = n1/n;
y2(n2) = n2/n;
a(n1,n2) = 2*y1(n1) + 4*y2(n2)^2;
na = n*a
a1_bar = diff(na, n1)
a2_bar = diff(na, n2)

producing:

na(n1, n2) =
n*((2*n1)/n + (4*n2^2)/n^2)

a1_bar(n1, n2) =
2

a2_bar(n1, n2) =
(8*n2)/n

[Sepanta Gharib]

God bless you, dear!

[Star Strider]

As always, my pleasure!