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  4. A Carnot engine take 5000 kcal of heat from a reservoir at 727° C and gives heat to a sink at 127° C. The work done by the engine is :

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Q. A Carnot engine take $5000\, kcal$ of heat from a reservoir at $727^{\circ} C$ and gives heat to a sink at $127^{\circ} C$. The work done by the engine is :

JEE MainJEE Main 2022Thermodynamics

Solution:

$\begin{array}{l} L =\frac{ WD }{ Q _{ H }} \\ \begin{aligned} \Rightarrow WD & = Q _{ H }\left(1-\frac{ T _{ L }}{ T _{ H }}\right) \\ & =5 \times 10^3\left(1-\frac{400}{1000}\right) \\ & =3000 kcal \end{aligned} \end{array}$