Question

Two finite, identical, solid bodies of constant total heat
capacity per body, C_{p}, are used as heat sources to drive
a heat engine. Their initial temperatures are T_{1} and
T_{2}. The reservoirs remain at constant pressure and do
not change phase. Finally afterwards, because of the work done by
the heat engine, the two reservoirs arrive at a common temperature
T_{f} . First, find the nal temperature T_{f}
(hint, use the second law to find it). Find the maximum work
obtainable from the system.

Answer #1

Consider two bodies with temperature independent heat capacities
C1 and C2, and initial temperatures T1 > T2.
(a) If the two bodies are brought into contact such that the
only heat exchange is between them, what is the final temperature
Tfinal , and what is the change in entropy.
(b) Suppose instead that the difference in temperature between
the two bodies is used to drive an ideal heat engine (Carnot
cycle). In one operation of the cycle some amount of...

Two solid bodies of equal mass and identical composition,
isolated from the surroundings and each other and kept initially at
temperature T1 and T2 are brought into thermal contact until they
attain thermal equilibrium with each other. Compute the amount of
entropy change of the universe in terms of T1, T2, and the heat
capacity C_p of each body , assuming the process to take place at
constant pressure exerted on them by the environment and show that
the entropy...

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