Problem 10: For a binary system, the molar excess Gibbs energy is given by : = Ax1x3. (1) RT (a) Show that the activity coefficients are given by In y1 = Ax3(x2 – x1), In y2 = 2Ax}x2. (2) (3) (b) Show that Eqns (2) and (3) satisfy the Gibbs-Duhem equation.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Problem 10:
For a binary system, the molar excess Gibbs energy is given by
= Ax1x3.
(1)
RT
(a) Show that the activity coefficients are given by
In yj = Ax3(x2 – x1),
In y2 = 2Ax¡x2.
(2)
%3D
(3)
(b) Show that Eqns (2) and (3) satisfy the Gibbs-Duhem equation.
Transcribed Image Text:Problem 10: For a binary system, the molar excess Gibbs energy is given by = Ax1x3. (1) RT (a) Show that the activity coefficients are given by In yj = Ax3(x2 – x1), In y2 = 2Ax¡x2. (2) %3D (3) (b) Show that Eqns (2) and (3) satisfy the Gibbs-Duhem equation.
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