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Two Carnot engines A and B are operated in series. The first one, A receives heat at T₁ (= 400K) and rejects to a reservoir at temperature T₂. The second engine B receives heat rejected by the first engine and in turn rejects to a heat reservoir at T₃ ( = 300K). Calculate the temperature T₂ if the work outputs of the two engines are equal.

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600 K

500 K

400 K

350 K

answer is D.

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Detailed Solution

Since work output is same

$Δ T_{1} = Δ T_{2}$

$400 - T_{2} = T_{2} - 300$

$2 T_{2} = 700, T_{2} = 350 K$

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