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Question

A Carnot engine operates with a source at 500K and sink at 375K. If the engine consumes 600 kcal of heat in one cycle, the heat rejected to the sink per cycle is

A
150 kcal
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B
450 kcal
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C
350 kcal
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D
250 kcal
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Solution

The correct option is B 450 kcal
The efficiency of the cycle is given as η=1T2T1=Q1Q2Q2. Here T1 is the temperature of the source and T2 is the temperature of the sink. Q1 is the heat gained from the source and Q2 is the heat rejected to the sink. Thus we get 1375500=0.25=600Q2600
or Q2=600150=450 kcal

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