Thermodynamic Property Relations

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Thermodynamic Property Relations

• Chapter 12

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The Maxwell Relations

• The equation that relate the partial derivatives
  of properties P, v, T and s of a simple
  compressible system to each other are called the
  Maxwell relations.
• They are obtained from the four Gibb equation,
  expressed as

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The Maxwell Relations are
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The Clapeyron Equation

• This equation enables us to determine the
  enthalpy change associated with a phase change
  from a knowledge of P, v and T data alone.

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The Clapeyron Clausius Equation

• For liquid vapor and solid vapor phase change
  processes at low pressures, it can be
  approximated as

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General Relations

• Internal Energy Changes

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• Enthalpy Changes

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• Entropy Changes

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• Specific Heats Cv and CP

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• Volume Expansivity (ß) Isothermal
  Compressibility (a)

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The Joule Thomson Coefficient

• It is a measure of the change in temperature of a
  substance with pressure during a constant
  enthalpy process, and it can be expressed as

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The enthalpy departure can be expressed as
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• Similarly

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EXAMPLE
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