Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
1st Edition
ISBN: 9781111580704
Author: Kevin D. Dahm, Donald P. Visco
Publisher: Cengage Learning
Question
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Chapter 11.11, Problem 10E
Interpretation Introduction

Interpretation:

Estimate the system pressure and vapor phase mole fraction.

Concept Introduction:

The expression of excess molar Gibbs free energy 1-parameter Margules equation is,

G_ERT=Ax1x2

Here, excess molar Gibbs free energy is G_E, gas constant is R, temperature is T, parameter is A, liquid phase mole fraction for components 1 and 2 is x1andx2 respectively.

The expression of the vapor pressure using Antoine equation is,

Psat=10[ABC+T(°C)]

Here, temperature in degree Celsius is T(°C), and Antoine coefficients are A,B,andC.

Write the expression of activity coefficients for component 1.

γ1=y1Px1P1sat

Here, vapor phase and liquid phase mole fraction for component 1 is y1 and x1 respectively.

The expression of activity coefficients for component 2 is,

γ2=y2Px2P2sat

Here, vapor phase and liquid phase mole fraction for component 2 is y2 and x2 respectively.

The partial molar properties for experimental data is,

G_ERT=x1ln[γ1]+x2ln[γ2]

The activity coefficients at the desired composition from the model are,

lnγ1=Ax22

lnγ2=Ax12

The expression to obtain the system pressure using the Modified Raoult’s Law is,

P=γ1x1P1sat+γ2x2P2sat

The expression of vapor phase mole composition for component 1 is,

y1=γ1x1P1satP

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Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

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