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
Chapter 12.7, Problem 28P

(A)

Interpretation Introduction

Interpretation:

Plot using the Raoult’s law.

Concept Introduction:

Calculate the Antoine equation for the component (1).

log10(Pisat)=ABT+C

Write the bubble point pressure from Raoult’s law.

P=x1P1sat+x2P2sat

Write the vapor phase mole fraction.

y1=x1PisatPmodel

(B)

Interpretation Introduction

Interpretation:

Plot using Ideal solution.

Concept Introduction:

Write the Antoine equation for the component.

log10(P1sat)=ABT+C

Write the expression to calculate the parameter a for component.

a=27R2Tc264Pc

Here, gas constant is R, critical temperature and critical pressure for component are Tc and Pc respectively.

Write the expression to calculate the parameter b for component.

b=RTc8Pc

Write the expression for the van Laar parameters.

L12=b1RT(a1b1a2b2)2

L21=b2RT(a1b1a2b2)2

Here, temperature is T, parameters of the van Laar equation using the VDW definitions is L12,L21, and equation of state parameter a1,b1,a2,andb2.

Write the activity coefficients from the van Laar model for components 1 and 2.

ln[γ1]=L12(1+L12x1L21x2)2

ln[γ2]=L21(1+L21x2L12x1)2

Here, liquid phase mole fraction for component 1 and 2 is x1andx2 respectively.

Write the expression to calculate the value of B1.

B1=(B0+ω1B1)RTc,1Pc,1=[(0.0830.422Tr,11.6)+ω1(0.1390.172Tr,14.2)]RTc,1Pc,1

Here, reduced temperature of component 1 is Tr,1, acentric factor of component 1 is ω1, and second virial coefficients are B0andB1.

Write the expression to calculate the value of B2.

B2=(B0+ω2B1)RTc,2Pc,2=[(0.0830.422Tr,21.6)+ω2(0.1390.172Tr,24.2)]RTc,2Pc,2

Here, reduced temperature of component 1 is Tr,1, acentric factor of component 1 is ω1, and second virial coefficients are B0andB1.

Write the expression to calculate the fugacity coefficient of component 1(φ^1,sat).

ln(φ^1,sat)=P1satB1RT

Write the expression to calculate the fugacity coefficient of component 2(φ^2,sat).

ln(φ^2,sat)=P2satB2RT

Write the expression for Raoult’s law equation.

P=x1P1sat+x2P2sat

y1=x1P1satP

Write the expression for the vapor definitions of the fugacity coefficients for component 1 and 2.

ln(φ^1)=PRT[B11+y22(2B12B11B22)]

ln(φ^2)=PRT[B22+y12(2B12B11B22)]

Here, system pressure is P, vapor phase mole fraction for components 1 and 2 is y1andy2, second-virial coefficient of component 1 interacting with component 2 is B12,

second-virial coefficient of pure component 1 and 2 is B11andB22 respectively.

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Chapter 12 Solutions

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

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