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Given the molar property M = ΣΣxixi (1 - Xixz) Ci 1. For a quaternary mixture: (a) Find the partial molar expressions for each species. (b) Prove that M₁ = M + + (84) -Σ (344) Ik T,P T,P (c) Show that the results of part a satisfy all necessary constraints for partial molar properties, i.e. summability relations and Gibbs-Duhem equation. 2. For a binary mixture: (a) Plot the values of M, M₁, M₂ vs. ₁. Label points M₁, M₂, M, and M₂, and show their values if C₁ = 123.123 and C₂ = 315.315.

Given the molar property M = ΣΣxixi (1 - Xixz) Ci 1. For a quaternary mixture: (a) Find the partial molar expressions for each species. (b) Prove that M₁ = M + + (84) -Σ (344) Ik T,P T,P (c) Show that the results of part a satisfy all necessary constraints for partial molar properties, i.e. summability relations and Gibbs-Duhem equation. 2. For a binary mixture: (a) Plot the values of M, M₁, M₂ vs. ₁. Label points M₁, M₂, M, and M₂, and show their values if C₁ = 123.123 and C₂ = 315.315.

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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Given the molar property M = ΣΣxixi (1 — xixj) Ci 1. For a quaternary mixture: (a) Find the partial molar expressions for each species. (b) Prove that M₁ = M + (SM), T,P - ΣTH (ONJ) 1. T,P (c) Show that the results of part a satisfy all necessary constraints for partial molar properties, i.e. summability relations and Gibbs-Duhem equation. 2. For a binary mixture: (a) Plot the values of M, M₁, M₂ vs. ₁. Label points M₁, M2, M₁, and M₂, and show their values if C₁ = 123.123 and C₂ = 315.315.
Transcribed Image Text:Given the molar property M = ΣΣxixi (1 — xixj) Ci 1. For a quaternary mixture: (a) Find the partial molar expressions for each species. (b) Prove that M₁ = M + (SM), T,P - ΣTH (ONJ) 1. T,P (c) Show that the results of part a satisfy all necessary constraints for partial molar properties, i.e. summability relations and Gibbs-Duhem equation. 2. For a binary mixture: (a) Plot the values of M, M₁, M₂ vs. ₁. Label points M₁, M2, M₁, and M₂, and show their values if C₁ = 123.123 and C₂ = 315.315.
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