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Question

A real heat engine has an efficiency of 40%. The work output of the engine is 100 kJ per cycle. How much energy is extracted from the high temperature reservoir per cycle ?

A
40 kJ
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B
250 kJ
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C
400 kJ
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D
Can be calculated only if the engine is a Carnot engine.
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Solution

The correct option is B 250 kJ
Given,
Efficiency of heat engine (η)=40%
Work output (W)=100 kJ
Using the formula,
Efficiency (η)=Work output(W)Heat input(Q)
0.4=100Heat input(Q)
Heat extracted from high temperature reservoir per cycle
Q=1000.4=250 kJ
Thus, option (b) is the correct answer.

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