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  4. The efficiency of Carnot engine is 0.6 . It rejects 20 J of heat to sink. The work done by the engine is

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Q. The efficiency of Carnot engine is $ 0.6 $ . It rejects $ 20\,J $ of heat to sink. The work done by the engine is

AMUAMU 2019

Solution:

Efficiency = $0.6$
Heat given to sink, $Q_{2}=20\,J$
$\eta =\frac{Q_{1}-Q_{2}}{Q_{1}}$
$0.6=\frac{Q_{1}-20}{Q_{1}}$
$0.6Q_{1}=Q_{1}-20$
$0.4 Q_{1}=20$
$Q_{1}=50\,J$
Work done, $W=Q_{1}-Q_{2}=50-20$
$=30\,J$