The excess Gibbs energy of a binary liquid mixture at T and P is given by: GE/RT = (-2.6x1 – 1.8x2)x1x2 (a) Find expressions for ln y1 and ln y2 at T and P. b) Show that when these expressions are combined in accord with Eq.(11.99) the given equation for GE/RT is recovered. c) Show that these equations satisfy Eq.(11.100), the Gibbs/Duhem equation. d) Show that (d ln y1/dx1)x1=1 = (dln y2/dx1)x1=0= 0.
The excess Gibbs energy of a binary liquid mixture at T and P is given by: GE/RT = (-2.6x1 – 1.8x2)x1x2 (a) Find expressions for ln y1 and ln y2 at T and P. b) Show that when these expressions are combined in accord with Eq.(11.99) the given equation for GE/RT is recovered. c) Show that these equations satisfy Eq.(11.100), the Gibbs/Duhem equation. d) Show that (d ln y1/dx1)x1=1 = (dln y2/dx1)x1=0= 0.
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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The excess Gibbs energy of a binary liquid mixture at T and P is given by: GE/RT = (-2.6x1 – 1.8x2)x1x2
(a) Find expressions for ln y1 and ln y2 at T and P.
b) Show that when these expressions are combined in accord with Eq.(11.99) the given equation for GE/RT is recovered.
c) Show that these equations satisfy Eq.(11.100), the Gibbs/Duhem equation.
d) Show that (d ln y1/dx1)x1=1 = (dln y2/dx1)x1=0= 0.
e) Plot GE /RT , ln y1 and ln y2 as calculated by the given equation for GE /RT and by the equations developed in (a) vs. x1. Label points, ln y∞1 and ln y∞2 and show their values.
Transcribed Image Text:GE
Ex, In y
(11.99)
RT
Exid In y = 0
(const T. P)
(11.100)
%3D
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Transcribed Image Text:e) Plot GE /RT , In y, and In y, as calculated by the given equation for GF /RT and by the equations developed
in (a) vs. X4. Label points, In y", and In y"2 and show their values.
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