Question

A heat engine operates between two reservoirs $T_1$ and $T_2$ ($T_2 > T_1$). The first reservoir have infinite mass so that $T_1$ remains constant during operation. However, the second reservoir has a finite amount of gas at constant volume with heat capacity $C_v$. After the heat engine has operated for some long period of time (number of cycles $>>$ 1), the temperature $T_2$ is lowered to $T_1$ and engine stops. (a) What is the total heat extracted from the second reservoir? (b) What is the total change of entropy of the second reservoir? (c) How much work did the engine do?

          A heat engine operates between two reservoirs $T_1$ and $T_2$ ($T_2 > T_1$). The first reservoir
have infinite mass so that $T_1$ remains constant during operation. However, the second
reservoir has a finite amount of gas at constant volume with heat capacity $C_v$. After
the heat engine has operated for some long period of time (number of cycles $>>$ 1), the
temperature $T_2$ is lowered to $T_1$ and engine stops.
(a) What is the total heat extracted from the second reservoir?
(b) What is the total change of entropy of the second reservoir?
(c) How much work did the engine do?

A heat engine operates between two reservoirs T1 and T2 (T2 > T1). The first reservoir
have infinite mass so that T1 remains constant during operation. However, the second
reservoir has a finite amount of gas at constant volume with heat capacity Cv. After
the heat engine has operated for some long period of time (number of cycles >> 1), the
temperature T2 is lowered to T1 and engine stops.
(a) What is the total heat extracted from the second reservoir?
(b) What is the total change of entropy of the second reservoir?
(c) How much work did the engine do?

Added by James H.

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