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The Gibbs energy of mixing of a regular solution of components A and B is - nRT(x, In x + x, In x, + ßX,X ), where X and X3 are real given by Am Ge = mix the mole fractions of the two components and ß is a dimensionless parameter quantifying deviations from ideal behaviour in terms of the

The Gibbs energy of mixing of a regular solution of components A and B is - nRT(x, In x + x, In x, + ßX,X ), where X and X3 are real given by Am Ge = mix the mole fractions of the two components and ß is a dimensionless parameter quantifying deviations from ideal behaviour in terms of the

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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(a) The Gibbs energy of mixing of a regular solution of components A and B is given by Ami, Geal = nRT(x, In x + Xg In x, + ßX, X3 ), where x, and Xg are the mole fractions of the two components and ß a dimensionless parameter quantifying deviations from ideal behaviour in terms of the relative strength of A-B interactions compared to A-A and B-B interactions. (i) Use a spreadsheet to calculate Am Geal /nRT for XA = 0.01, 0.125, mix 0.25, 0.5, 0.75, 0.875 and 0.99 for ß= 0, 1 and 3. Report your calculations in a table and, using a labelled plot, determine the numbers of minima in Am Greal /nRT as a function of composition *mix and ß. (ii) For each value of ß, predict the number of liquid phases which you would expect for the mixture. Justify your answer in terms of A-B interactions.
Transcribed Image Text:(a) The Gibbs energy of mixing of a regular solution of components A and B is given by Ami, Geal = nRT(x, In x + Xg In x, + ßX, X3 ), where x, and Xg are the mole fractions of the two components and ß a dimensionless parameter quantifying deviations from ideal behaviour in terms of the relative strength of A-B interactions compared to A-A and B-B interactions. (i) Use a spreadsheet to calculate Am Geal /nRT for XA = 0.01, 0.125, mix 0.25, 0.5, 0.75, 0.875 and 0.99 for ß= 0, 1 and 3. Report your calculations in a table and, using a labelled plot, determine the numbers of minima in Am Greal /nRT as a function of composition *mix and ß. (ii) For each value of ß, predict the number of liquid phases which you would expect for the mixture. Justify your answer in terms of A-B interactions.
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