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 ?

40 kJ

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250 kJ

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400 kJ

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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 $(η) = \frac{Work output (W)}{Heat input (Q)}$
$0.4 = \frac{100}{Heat input (Q)}$
$∴$ Heat extracted from high temperature reservoir per cycle
$Q = \frac{100}{0.4} = 250 kJ$
Thus, option (b) is the correct answer.

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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 ?

The correct option is B 250 kJGiven, 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.

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 ?