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c) Show that the derived expressions for the partial molar volumes satisfy the Gibbs/Duhem equation.

c) Show that the derived expressions for the partial molar volumes satisfy the Gibbs/Duhem equation.

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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The molar volume (cm³ mol*) of a binary liquid mixture at T and P is given by: V = 120x1 + 70x2 + (15x1 + 8x2)x1X2 a) Find expressions for the partial molar volumes of species 1 and 2 at T and P. b) Show that when the derived expressions for the partial molar volumes are combined in accord with the summability relations, the given equation for V is recovered. c) Show that the derived expressions for the partial molar volumes satisfy the Gibbs/Duhem equation. d) Plot the values of V, V1, and V2 vs. Xı in Excel. Label points V1, V2, V°and V and show their values.
Transcribed Image Text:The molar volume (cm³ mol*) of a binary liquid mixture at T and P is given by: V = 120x1 + 70x2 + (15x1 + 8x2)x1X2 a) Find expressions for the partial molar volumes of species 1 and 2 at T and P. b) Show that when the derived expressions for the partial molar volumes are combined in accord with the summability relations, the given equation for V is recovered. c) Show that the derived expressions for the partial molar volumes satisfy the Gibbs/Duhem equation. d) Plot the values of V, V1, and V2 vs. Xı in Excel. Label points V1, V2, V°and V and show their values.
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