Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 1.8-7

THE CONDITIONS OF EQUILIBRIUM

Physics — Statistical Mechanics · extensivity-internal-energy

Problem

Two moles of a particular single-component system are found to have a dependence of internal energy

U

on pressure and volume given by

U = APV^2 \qquad (\text{for } N = 2)

Note that doubling the system doubles the volume, energy, and mole number, but leaves the pressure unaltered. Write the complete dependence of

U

P

V

, and

N

for arbitrary mole number.