The excess Gibbs energy of a binary liquid mixture at T and P is given by; GE = (-1,4x1 – 2.0x2)x1x2 RT a) Find expressions for Inyı and Iny2 at T and P. b) Show that when these expressions are combined in accord with GF/RT= Exi Inv; the given equation for G/RT is recovered. c) Show that these equations satisty the Gibbs/Duhem equation (Exị dlnyi = 0) d) Show that (dln yı/dx1)xl=1= (dln v2/dx1)xl=0=0. e) Plot G /RT , Invı and Inv2 as calculated by the given equation for G² /RT and by the equations developed in (a) vs. X1. Label points , Inv1® and Inv2" and show their values.
The excess Gibbs energy of a binary liquid mixture at T and P is given by; GE = (-1,4x1 – 2.0x2)x1x2 RT a) Find expressions for Inyı and Iny2 at T and P. b) Show that when these expressions are combined in accord with GF/RT= Exi Inv; the given equation for G/RT is recovered. c) Show that these equations satisty the Gibbs/Duhem equation (Exị dlnyi = 0) d) Show that (dln yı/dx1)xl=1= (dln v2/dx1)xl=0=0. e) Plot G /RT , Invı and Inv2 as calculated by the given equation for G² /RT and by the equations developed in (a) vs. X1. Label points , Inv1® and Inv2" and show their values.
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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Transcribed Image Text:The excess Gibbs energy of a binary liquid mixture at T and P is given by;
GE
= (-1,4x1 – 2.0x2)x1X2
RT
a) Find expressions for Inyi and Inv2 at T and P.
b) Show that when these expressions are combined in accord with G/RT= Ex; Inv; the
given equation for G#/RT is recovered.
c) Show that these equations satisty the Gibbs/Duhem equation (Exi dlnyi = 0)
d) Show that (dln vı/dx1)xl=1= (dln v2/dx1)x1l=0= 0.
e) Plot GF /RT , Invı and Inv2 as calculated by the given equation for G /RT and by the
equations developed in (a) vs. X1. Label points , Invi® and Inv2® and show their values.
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