Q1. At 20 °C and atmospheric pressure, the molar volume (in cm3/mol) of liquid mixtures of compound 1 and compound 2 can be described by: V = 12.38x12 + 45.37x1 + 19.55Note that x1 is mole fraction of compound 1 and x2 = 1 - x1 is mole fraction of compound 2.a) Find expressions for the partial molar volumes of compound 1 and 2 at this T and P.b) Show that when these partial molar volume expressions are combined in accord with SVA Equation 10.11 the given equation for V is recovered.c) Show that the expression satisfies (or doesn’t), the Gibbs-Duhem Equationd) Plot values of molar volume, partial molar volume of compound 1, and partial molar volume of compound 2 versus x1. Label the pure component molar volumes and the partial molar volumes at infinite dilution.e) What is the total volume (cm3) of a mixture containing 4 moles of component 1 and 6 moles of component 2?f) What is the partial molar volume of component 1 (cm3/mol) of a mixture containing 4 moles of component 1 and 6 moles of component 2?g) What is the excess volume (cm3) of a mixture containing 4 moles of component 1 and 6 moles of component 2?h) What would be the volume (cm3) of a mixture containing 4 moles of component 1 and 6 moles of component 2 if the solution were an ideal solution?***HINT: Recall one common model for V is: V=V1x1+V2x2+Ax1x2, where V1 and V2 are the molar volumes of the pure components***

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Answered: Q1. At 20 °C and atmospheric pressure,…

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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Q1. At 20 °C and atmospheric pressure, the molar volume (in cm³/mol) of liquid mixtures of compound 1 and compound 2 can be described by:

V = 12.38x₁² + 45.37x₁+ 19.55

Note that x₁ is mole fraction of compound 1 and x₂= 1 - x₁ is mole fraction of compound 2.

a) Find expressions for the partial molar volumes of compound 1 and 2 at this T and P.

b) Show that when these partial molar volume expressions are combined in accord with SVA Equation 10.11 the given equation for V is recovered.

c) Show that the expression satisfies (or doesn’t), the Gibbs-Duhem Equation

d) Plot values of molar volume, partial molar volume of compound 1, and partial molar volume of compound 2 versus x₁. Label the pure component molar volumes and the partial molar volumes at infinite dilution.

e) What is the total volume (cm³) of a mixture containing 4 moles of component 1 and 6 moles of component 2?

f) What is the partial molar volume of component 1 (cm³/mol) of a mixture containing 4 moles of component 1 and 6 moles of component 2?

g) What is the excess volume (cm³) of a mixture containing 4 moles of component 1 and 6 moles of component 2?

h) What would be the volume (cm³) of a mixture containing 4 moles of component 1 and 6 moles of component 2 if the solution were an ideal solution?

***HINT: Recall one common model for V is: V=V1x1+V2x2+Ax1x2, where V₁ and V₂ are the molar volumes of the pure components***

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