Question
A Carnot engine operates between $27^{\circ} C$ and $87^{\circ} C$. Find its efficiency.

Answer

Data: $T _{ C }=27^{\circ} C =(273+27) K =300 K$,
$T _{ H }=87^{\circ} C =(273+87)=360 K$
The efficiency of the engine,
$ \eta=\frac{T_{ H }-T_{ C }}{T_{ H }}=\frac{360-300}{360}=\frac{60}{360}$
$=\frac{1}{6} \simeq 0.1667=16.67 \% $

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