Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 8.3-1

FIRST-ORDER PHASE TRANSITIONS

Physics — Statistical Mechanics · heat-capacity-compressibility-inequalities

Problem

Explain on intuitive grounds why

c_p \geq c_v

and why

\kappa_T \geq \kappa_S

. Hint: Consider the energy input and the energy output during constant-pressure and constant-volume heating processes.