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11.28. The excess Gibbs energy of a binary liquid mixture at 7 and P is given by: G/RT=(-2.6x1 -1.80). (a) Find expressions for In y, and In 32 at 7 and P. (b) Show that when these expressions are combined in accord with Eq. (11.99) the given equation for GB/RT is recovered. (c) Show that these expressions satisfy Eq. (11.100), the Gibbs/Duhem equation.

11.28. The excess Gibbs energy of a binary liquid mixture at 7 and P is given by: G/RT=(-2.6x1 -1.80). (a) Find expressions for In y, and In 32 at 7 and P. (b) Show that when these expressions are combined in accord with Eq. (11.99) the given equation for GB/RT is recovered. (c) Show that these expressions satisfy Eq. (11.100), the Gibbs/Duhem equation.

Introduction to Chemical Engineering Thermodynamics
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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11.28. The excess Gibbs energy of a binary liquid mixture at 7 and P is given by: GE/RT=(-2.6x11.8.x2)x1.x2 (a) Find expressions for In y and In 32 at 7 and P. (b) Show that when these expressions are combined in accord with Eq. (11.99) the given equation for GB/RT is recovered. (e) Show that these expressions satisfy Eq. (11.100), the Gibbs/Duhem equation. (d) Show that (d In y/dx1)x1= (d in y2/dx1)x=0. (e) Plot G/RT, In y, and in y2 as calculated by the given equation for GE/RT and by the equations developed in (a) vs. x₁. Label points In y and Iny and show their values.
Transcribed Image Text:11.28. The excess Gibbs energy of a binary liquid mixture at 7 and P is given by: GE/RT=(-2.6x11.8.x2)x1.x2 (a) Find expressions for In y and In 32 at 7 and P. (b) Show that when these expressions are combined in accord with Eq. (11.99) the given equation for GB/RT is recovered. (e) Show that these expressions satisfy Eq. (11.100), the Gibbs/Duhem equation. (d) Show that (d In y/dx1)x1= (d in y2/dx1)x=0. (e) Plot G/RT, In y, and in y2 as calculated by the given equation for GE/RT and by the equations developed in (a) vs. x₁. Label points In y and Iny and show their values.
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