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Chemical Engineering Thermodynamics

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Chemical Engineering Thermodynamics Lecturer: Zhenxi Jiang (Ph.D. U.K.) School of Chemical Engineering Chapter 12 Solution Thermodynamics: Application 12.2 Models for ... – PowerPoint PPT presentation

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Title: Chemical Engineering Thermodynamics


1
  • Chemical Engineering Thermodynamics
  • Lecturer Zhenxi Jiang (Ph.D. U.K.)
  • School of Chemical Engineering

2
Chapter 12Solution Thermodynamics Application
3
12.2 Models for the Excess Gibbs Energy
  • In general GE/RT is a function of T, P, and
    composition, but for liquids at low to moderate
    pressures it is a very weak function of P.
    Therefore the pressure dependence of activity
    coefficients is usually neglected. Thus, for data
    at constant T

  • (const T )
  • The Margules equation, Eq. (12.9), is an example
    of this functionality.

4
12.2 Models for the Excess Gibbs Energy
  • A number of other equations are in common use for
    correlation of activity coefficients. For binary
    systems (species 1 and 2) the function most often
    represented by an equation is ,
    which may be expressed as a power series in x1
  • (const
    T )

5
12.2 Models for the Excess Gibbs Energy
  • Because x21-x1, mole fraction x1 serves as the
    single independent variable. An equivalent power
    series with certain advantages is known as the
    Redlich/Kister expansion

  • (12.14)
  • In application, different truncations of this
    series are appropriate, and in each case specific
    expressions for ln and ln are generated
    from Eq. (11.96).

6
12.2 Models for the Excess Gibbs Energy
  • Because x21-x1, mole fraction x1 serves as the
    single independent variable. An equivalent power
    series with certain advantages is known as the
    Redlich/Kister expansion

  • (12.14)
  • In application, different truncations of this
    series are appropriate, and in each case specific
    expressions for ln and ln are generated
    from Eq. (11.96).

7
12.2 Models for the Excess Gibbs Energy
8
12.2 Models for the Excess Gibbs Energy
9
12.2 Models for the Excess Gibbs Energy
10
12.2 Models for the Excess Gibbs Energy
  • Local Composition Models

11
12.2 Models for the Excess Gibbs Energy
  • Local Composition Models

12
12.2 Models for the Excess Gibbs Energy
  • Local Composition Models

13
12.2 Models for the Excess Gibbs Energy
  • Local Composition Models

14
12.3 Property Changes of Mixing
15
12.3 Property Changes of Mixing
16
12.3 Property Changes of Mixing
17
12.3 Property Changes of Mixing
18
12.3 Property Changes of Mixing
19
12.3 Property Changes of Mixing
20
12.3 Property Changes of Mixing
21
12.3 Property Changes of Mixing
22
12.3 Property Changes of Mixing
23
12.3 Property Changes of Mixing
24
12.3 Property Changes of Mixing
25
12.3 Property Changes of Mixing
26
12.3 Property Changes of Mixing
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