Problem 10.15 (Zemansky)
Consider
any system immersed in a medium at the constant temperature
(a)
(b)
(c)
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Solution: Click For PDF Version
We are
considering a system immersed in a medium at constant temperature
From energy conservation, we have
Therefore, the entropy of the medium will change by
And the entropy change of the universe will be
From the entropy principle, we have
Therefore,
Maximum amount of work will be obtained if the process is such that
This condition gives
And we note that
and
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and suppose that the only reservoir with which the system may
exchange heat is this medium. Let the system undergo a process
involving the absorption of heat Q, the performance of work W, and a
change of entropy
.
We have to show that
and let the work done by the system be W.
Let the energy of the system change from
to
and the entropy of the system change from
to
.
