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 Invı and Inv2 at T and P. b) Show that when these expressions are combined in accord with GF/RT= Ex; Iny; the given equation for G#/RT is recovered. c) Show that these equations satisty the Gibbs/Duhem equation (ExXi dlnvi = 0) d) Show that (dln x1/dx1)xl=1= (dln v2/dx1)x1=0= 0. e) Plot G /RT , Invı and Iny2 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
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Hi, please answer this question, here is an answer to this question in chegg, but I do not understand. so complicated. im waiting your answer, thank you.

The excess Gibbs energy of a binary liquid mixture at T and P is given by;
GE
= (-1,4x1 – 2.0x2)X1X2
RT
%3D
a) Find expressions for Invi and Inv2 at T and P.
b) Show that when these expressions are combined in accord with G³/RT= Ex¡ In; the
given equation for G#/RT is recovered.
c) Show that these equations satisty the Gibbs/Duhem equation (Ex¡ dlnvi = 0)
d) Show that (dln yı/dxı)xl=l= (dln y2/dx1)xl=0= 0.
e) Plot G /RT , Invı and Inv2 as calculated by the given equation for G /RT and by the
equations developed in (a) vs. xı. Label points , Inyi® and Inv2" and show their values.
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 %3D a) Find expressions for Invi and Inv2 at T and P. b) Show that when these expressions are combined in accord with G³/RT= Ex¡ In; the given equation for G#/RT is recovered. c) Show that these equations satisty the Gibbs/Duhem equation (Ex¡ dlnvi = 0) d) Show that (dln yı/dxı)xl=l= (dln y2/dx1)xl=0= 0. e) Plot G /RT , Invı and Inv2 as calculated by the given equation for G /RT and by the equations developed in (a) vs. xı. Label points , Inyi® and Inv2" and show their values.
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