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A Carnot’s engine used first an ideal monoatomic gas then an ideal diatomic gas. If the source and sink temperature are 411°C and 69°C respectively and the engine extracts 1000 J of heat in each cycle, then area enclosed by the PV diagram is

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100 J

700 J

500 J

300 J

answer is C.

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Detailed Solution

$η = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{(273 + 69)}{(273 + 411)} = 0.5$

$\Rightarrow Work done$

$= η \times Q = 0.5 \times 1000 = 500 J$

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