Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 7.4-21

FIRST-ORDER PHASE TRANSITIONS

Physics — Statistical Mechanics · molar-energy-difference-along-locus

Problem

A system is composed of 1 mole of a particular substance. Two thermodynamic states, designated as

A

and

B

, lie on the locus

Pv = \text{constant}

. The following properties of the system have been measured along this locus;

c_p = Cv

\alpha = D/v^2

, and

\kappa_T = Ev

, where

C

D

, and

E

are constants. Calculate the difference in molar energies

(u_B - u_A)

in terms of

T_A

P_A

v_A

v_B

, and the constants

C

D

, and

E