Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 3.3-3

SOME FORMAL RELATIONSHIPS, AND SAMPLE SYSTEMS

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

Problem

A system obeys the equations

P = -\frac{NU}{NV - 2AVU}

and

T = 2C\frac{U^{1/2}V^{1/2}}{N - 2AU}e^{AU/N}

Find the fundamental equation. Hint: To integrate, let

s = Du^n v^m e^{-Au}

where

D

n

, and

m

are constants to be determined.