Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 5.3-7

THE EXTREMUM PRINCIPLE IN THE LEGENDRE TRANSFORMED REPRESENTATIONS

Physics — Statistical Mechanics · enthalpy-molar-heat-capacity

Problem

The enthalpy of a particular system is

H = AS^2N^{-1}\ln\!\left(\frac{P}{P_0}\right)

where

A

is a positive constant. Calculate the molar heat capacity at constant volume

c_v

as a function of

T

and

P