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Internal energy and enthalpy of ideal gases depend only on temperature

H(T) and U(T) of ideal gases

The internal energy and enthalpy of ideal gases depends only on temperature, not on volume or pressure.

We can prove these property of ideal gases using property relations. From the fundamental equations for internal energy and enthalpy, the volume dependence of internal energy and the pressure dependence of enthalpy for ideal gases are derived. By applying property relations, it is proved that the internal energy and enthalpy of ideal gases do not depend on volume and pressure, repectively.

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Thermodynamics in Energy Engineering

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