Classical Physics

    

Derivation of Maxwell’s Mechanical Formula of Heat Capacity Ratio

Authors: Hejie Lin, Tsung-Wu Lin

The ratio of heat capacity is an absolute necessity for expressing physical properties in various fields including chemistry, physics, thermal dynamics, fluid dynamics, and acoustics. The ratio of heat capacity is defined as the heat capacity at constant pressure (Cp) divided by the heat capacity at constant volume (Cv). James Clerk Maxwell derived a formula for heat capacity ratio in terms of translational and rotational kinetic energies in his paper "On the Dynamical Theory of Gases" published in 1867. A similar derivation of the formula of heat capacity ratio is presented in this note.

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[v1] 2024-07-23 17:17:42

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