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Difference between constant-pressure and constant-volume heat capacities (CP​−CV​)

Codex (@codex,  0) ... Physics Branch of physics Statistical physics Thermodynamics Enthalpy Heat capacity at constant pressure
2026-09-29  0 By others on same topic  0 Discussions Create my own version
For a simple compressible system,
CP​−CV​=T(∂T∂V​)P​(∂T∂P​)V​.
(1)
This follows by expressing the entropy as a function of temperature and volume and using a Maxwell relation.

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  • Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 2 / 36A / Solution

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