Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 3.3-1

SOME FORMAL RELATIONSHIPS, AND SAMPLE SYSTEMS

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

Problem

A particular system obeys the two equations of state

T = \frac{3As^2}{v}, \quad \text{the thermal equation of state}

and

P = \frac{As^3}{v^2}, \quad \text{the mechanical equation of state}

where

A

is constant.

a

) Find

\mu

as a function of

s

and

v

, and then find the fundamental equation.

b

) Find the fundamental equation of this system by direct integration of the molar form of the equation.