Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 2.6-4

SOME FORMAL RELATIONSHIPS, AND SAMPLE SYSTEMS

Physics — Statistical Mechanics · thermal-equilibrium-two-systems

Problem

Two systems with the equations of state given in Problem 2.6-3 are separated by a diathermal wall. The respective mole numbers are

N^{(1)} = 2

and

N^{(2)} = 3

. The initial temperatures are

T^{(1)} = 250

K and

T^{(2)} = 350

K. What are the values of

U^{(1)}

and

U^{(2)}

after equilibrium has been established? What is the equilibrium temperature?