Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 3.3-4

SOME FORMAL RELATIONSHIPS, AND SAMPLE SYSTEMS

Physics — Statistical Mechanics · fundamental-equation-from-equations-of-state

Problem

A system obeys the two equations

u = \frac{3}{2}Pv

and

u^{1/2} = BTv^{1/3}

. Find the fundamental equation of this system.