At ordinary temperature the molecules of an ideal gas have only translational and rotational energy. At high temperature, they may also have vibrational energy. As a result of this, at high temperatur

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At ordinary temperature the molecules of an ideal gas have only translational and rotational energy. At high temperature, they may also have vibrational energy. As a result of this, at high temperature:

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C v ​ = 2 f R ​ : f = 3 for monoatomic, f = 5 for diatomic at ordinary temperature. At high temperature vibrational energy also contributes, so f > 5 for diatomic gases. Monoatomic molecules cannot vibrate, so C v ​ stays 2 3 R ​ for monoatomic and rises above 2 5 R ​ for diatomic. \end{document}

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