Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 7.2-3

STABILITY OF THERMODYNAMIC SYSTEMS

Physics — Statistical Mechanics · maxwell-relations-thermal-expansion-pressure-dependence

Problem

Show that the relation

\alpha = \frac{1}{T}

implies that

c_p

is independent of the pressure

\left(\frac{\partial c_P}{\partial P}\right)_T = 0