(a) Sketch a Carnot cycle of a gas on a T-S diagram. Show the direction of the state change along the cycle such that the engine can actually do some useful work. (b) Calculate the efficiency of the cycle shown in Fig. la and compare to the efficiency of an ideal Carnot cycle working between T and T. Show the direction of the cycle (clockwise or anti-clockwise) such that the engine can be used to lift a weight. Explain your choice. (c) Consider the cycle in Fig. 1b. What cycle direction would yield useful work? Calculate the efficiency of the engine in Fig. 1b. Which heat engine is more efficient, a) or b)? a) b) S2 S2 4. S1 T1 T2 T1 T2 Figure 1: T-S cycles of two heat engines

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(a) Sketch a Carnot cycle of a gas on a T-S diagram. Show the direction of the state change
along the cycle such that the engine can actually do some useful work.
(b) Calculate the efficiency of the cycle shown in Fig. la and compare to the efficiency of
an ideal Carnot cycle working between T and T. Show the direction of the cycle
(clockwise or anti-clockwise) such that the engine can be used to lift a weight. Explain
your choice.
(c) Consider the cycle in Fig. 1b. What cycle direction would yield useful work? Calculate
the efficiency of the engine in Fig. 1b. Which heat engine is more efficient, a) or b)?
a)
b)
S2
S2
S1
S1
T1
T2
T1
T2
Figure 1: T-S cycles of two heat engines
Transcribed Image Text:(a) Sketch a Carnot cycle of a gas on a T-S diagram. Show the direction of the state change along the cycle such that the engine can actually do some useful work. (b) Calculate the efficiency of the cycle shown in Fig. la and compare to the efficiency of an ideal Carnot cycle working between T and T. Show the direction of the cycle (clockwise or anti-clockwise) such that the engine can be used to lift a weight. Explain your choice. (c) Consider the cycle in Fig. 1b. What cycle direction would yield useful work? Calculate the efficiency of the engine in Fig. 1b. Which heat engine is more efficient, a) or b)? a) b) S2 S2 S1 S1 T1 T2 T1 T2 Figure 1: T-S cycles of two heat engines
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