Given: Consider a binary mixture of species a and b that results in two coexisting liquids (α and β) at 298.15 K and 1 bar. The mixture is well-described by a one-constant (also known as two-suffix) Margules equation gE /RT = 3.127xaxb  (R = 8.3145 J/(mol K) ) Question: Obtain general expressions for both species a and b that define the conditions for phase equilibrium. The expressions can contain constants, temperature, pressure, and compositions.

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
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Given:

Consider a binary mixture of species a and b that results in two coexisting liquids (α and β) at 298.15 K and 1 bar.

The mixture is well-described by a one-constant (also known as two-suffix) Margules equation

gE /RT = 3.127xaxb 

(R = 8.3145 J/(mol K) )

Question: Obtain general expressions for both species a and b that define the conditions for phase equilibrium. The expressions can contain constants, temperature, pressure, and compositions.

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