Thermodynamic Property Relations

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Presentation transcript:

Thermodynamic Property Relations Chapter 12

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:

The Maxwell Relations are

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.

The Clapeyron – Clausius Equation For liquid – vapor and solid – vapor phase change processes at low pressures, it can be approximated as

General Relations Internal Energy Changes

Enthalpy Changes

Entropy Changes

Specific Heats Cv and CP

Volume Expansivity (β) & Isothermal Compressibility (α)

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

The enthalpy departure can be expressed as:

Similarly

EXAMPLE