A carnot engine operates with source at 227 and sink at 27. If the source supplies 50 kJ of heat energy, the work done by the engine is (a) 2 kJ (b) 5 kJ (c) 10 kJ (d) 20 kJ

Answer: (d). T₁ = 500 K, T₂ = 300 K, so η = 1 - (300)/(500) = 0.4 W = η Q₁ = 0.4 × 50 = 20 kJ So the answer is (d) 20 kJ.

A carnot engine operates with source at 227 and sink at 27. If the… | MHT CET 2023 (13 May, Shift 2)

Q19MHT CET 2023 · 13 MAY · SHIFT 2Easy

Heat Engines, Refrigerators & Second Law

A carnot engine operates with source at $227^\circ\text{C}$ and sink at $27^\circ\text{C}$ . If the source supplies $50\text{ kJ}$ of heat energy, the work done by the engine is

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Answer: (d)

$T_1 = 500$ K, $T_2 = 300$ K, so $\eta = 1 - \frac{300}{500} = 0.4$
$W = \eta Q_1 = 0.4 \times 50 = 20$ kJ
So the answer is (d) 20 kJ.

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