a) Determine y; expressions for both Margules models given below. Show your derivations step by step. • If f(x1,x2) = A x1 x2 (Two-Suffix Margules Equation) • If f(x1,x2) = x1 x2(A + B(x1 – x2)) (Three-Suffix Margules Equation)
a) Determine y; expressions for both Margules models given below. Show your derivations step by step. • If f(x1,x2) = A x1 x2 (Two-Suffix Margules Equation) • If f(x1,x2) = x1 x2(A + B(x1 – x2)) (Three-Suffix Margules Equation)
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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Question
![**Problem 1**
The excess Gibbs free energy \( G^E \) for a binary mixture of two fluids (1) and (2) is given by
\[
\frac{G^E}{RT} = f(x_1, x_2)
\]
a) Determine \( \gamma_i \) expressions for both Margules models given below. Show your derivations step by step.
- If \( f(x_1, x_2) = A \, x_1 \, x_2 \) (Two-Suffix Margules Equation)
- If \( f(x_1, x_2) = x_1 \, x_2 (A + B(x_1 - x_2)) \) (Three-Suffix Margules Equation)
b) Determine \( \ln \gamma_i^\infty \) expressions for both models given in Part (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58e30080-5af3-43c1-bb19-7e2f27cfd9f6%2F58790f48-431a-41f8-8d88-06ae56f2754c%2Fe5bgwur_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 1**
The excess Gibbs free energy \( G^E \) for a binary mixture of two fluids (1) and (2) is given by
\[
\frac{G^E}{RT} = f(x_1, x_2)
\]
a) Determine \( \gamma_i \) expressions for both Margules models given below. Show your derivations step by step.
- If \( f(x_1, x_2) = A \, x_1 \, x_2 \) (Two-Suffix Margules Equation)
- If \( f(x_1, x_2) = x_1 \, x_2 (A + B(x_1 - x_2)) \) (Three-Suffix Margules Equation)
b) Determine \( \ln \gamma_i^\infty \) expressions for both models given in Part (a).
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