Thermodynamics, Statistical Physics, and Quantum Mechanics

120

by and the number ofmoles on the left and right sides of thecylinder,
respectively, andusing we obtain the total work and, hence,
heat given by theintegral

4.29 Heat Extraction (MIT, Wisconsin-Madison)

a)For a mass of fixedvolume we have

So, by the definition ofC,

SinceCis independent ofT,we may rewrite (S.4.29.2) andintegrate:

The change in entropy isthen

b) The maximum heat may be extracted when the entropy remainscon-

stant. Equating theinitial and finalentropies yields thefinaltemperature

of the two bodies:

SOLUTIONS