Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 6.3-2

MAXWELL RELATIONS

Physics — Statistical Mechanics · joule-thomson-equations-of-state

Problem

A gas has the following equations of state

P = \frac{U}{V} \qquad T = 3B\left(\frac{U^2}{NV}\right)^{1/3}

where

B

is a positive constant. The system obeys the Nernst postulate (

S \to 0

T \to 0

). The gas, at an initial temperature

T_i

and initial pressure

P_i

, is passed through a ``porous plug'' in a Joule--Thomson process. The final pressure is

P_f

. Calculate the final temperature

T_f