Thermodynamics, Statistical Physics, and Quantum Mechanics

THERMODYNAMICS AND STATISTICAL PHYSICS

Nonideal Gas

Heat Capacities (Princeton)

From the definition of for a gas,

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Since we are interested in a relation between and it is useful to
transform to other variables than in (S.4.49.1), namely V instead of
We will use the Jacobian transformation (see Landau and Lifshitz, Statis-
tical Physics, Sect. 16):

A useful identity is obtained from

So

Since

and

4.49