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Derivation Of Gibbs Excess Free Enthalpy From Gibbs-Helmholtz Equation

gibbs energy helmholtz enthalpy numerical integration excess

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#1 faxxe


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Posted 21 November 2020 - 04:47 AM

For my studies I have to numerically integrate the Gibbs-Helmholtz equation to get the Gibbs excess free energy of a binary mixture. The specification: the excess enthalpies, dependent on the liquid molar fraction at three different temperatures (263.15 K, 273.15 K and  283.15 K) are given. 
For this task, I decided to use Simpson´s rule for numerical integration.
I derived the Redlich-Kister parameters for each enthalpy data set to get diagrams with constant liquid molar fraction (with 1/T on y-axis and hE on x-axis).
But how is it possible to integrate the Gibbs-Helmholtz equation with the known data? Is this even possible?

Would be thankful for any help!


#2 latexman


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Posted 21 November 2020 - 07:59 AM

This looks promising:


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