Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 3.3-2

SOME FORMAL RELATIONSHIPS, AND SAMPLE SYSTEMS

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

Problem

It is found that a particular system obeys the relations

U = PV

and

P = BT^2

where

B

is constant. Find the fundamental equation of this system.