Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 1.10-3

THE CONDITIONS OF EQUILIBRIUM

Physics — Statistical Mechanics · entropy-maximization-equilibrium

Problem

The fundamental equation of system A is

S = \left(\frac{R^2}{v_0\theta}\right)^{1/3}(NVU)^{1/3}

and similarly for system B. The two systems are separated by a rigid, impermeable, adiabatic wall. System A has a volume of

9 \times 10^{-6}

^3

and a mole number of 3 moles. System B has a volume of

4 \times 10^{-6}

^3

and a mole number of 2 moles. The total energy of the composite system is 80 J. Plot the entropy as a function of

U_A/(U_A + U_B)

. If the internal wall is now made diathermal and the system is allowed to come to equilibrium, what are the internal energies of each of the individual systems? (As in Problem 1.10-1, the quantities

v_0

\theta

, and

R

are positive constants.)

Related theory

Quantum Entropy And Von Neumann Entropy

Browse the problem library