Chapter 6 KFUPM Housam Binous CHE 303faculty.kfupm.edu.sa/che/binoushousam/files/CHE 303 Chapter...

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Introduction to Chemical Engineering Thermodynamics Chapter 6 1 KFUPM Housam Binous CHE 303

Transcript of Chapter 6 KFUPM Housam Binous CHE 303faculty.kfupm.edu.sa/che/binoushousam/files/CHE 303 Chapter...

Page 1: Chapter 6 KFUPM Housam Binous CHE 303faculty.kfupm.edu.sa/che/binoushousam/files/CHE 303 Chapter 6.pdf · Chapter 6 KFUPM Housam Binous CHE 303 1. ... Lee Kesler correlation. See

Introduction to Chemical Engineering

Thermodynamics

Chapter 6

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Page 2: Chapter 6 KFUPM Housam Binous CHE 303faculty.kfupm.edu.sa/che/binoushousam/files/CHE 303 Chapter 6.pdf · Chapter 6 KFUPM Housam Binous CHE 303 1. ... Lee Kesler correlation. See

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Relations for homogeneous fluid of constant composition

Helmholtz energyA=U-TS

Gibbs energyG=H-TS

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Total differential of F:

the order of differentiationof an analytic function oftwo variables is irrelevant

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Maxwell’s Equations

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Enthalpy and Entropy as functions of T & P

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Case of an ideal gas

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Volume expansivity

Isothermal compressibility

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Alternative form for liquids

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Internal Energy and Entropy as function of T & V

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Alternative forms:

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Gibbs Energy as a Generating Function

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If given G/RT=g(T,P) thenone can evaluate all other thermodynamic properties:

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Residual Properties

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for constant T

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J arbitrarily set equal to 0

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Enthalpy and Entropy from HR and SR

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Residual Properties from the Virial EOS

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Residual Properties by EOS

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Residual Properties by three-term virial equation

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Residual Properties by Cubic EOS

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Two phases α and β of a pure species coexisting at equilibrium

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Clapeyron equation

for an ideal gas

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T-dependence of vapor pressure

Wagner equation:

Antoine equation:

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Lee and Kesler Pitzer-type correlation

for non-polar & non-associating liquids

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Two-Phase Liquid-Vapor Systems

quality

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Lee Kesler correlationSee Appendix E

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At low pressure for non polar and non associating molecules, onecan use the generalized second-virial-coefficient correlation:

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