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Q.

Two Carnot engines A and B are operated series. The engine A receives heat at 800 K and rejects to a reservoir at TK. The second engine B receives the heat rejected by A and         in turn rejects to a heat reservoir at 200K. If the efficiencies of the two engines are equal the temperature T is

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a

600K

b

700 K

c

300 K

d

400 K

answer is D.

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Detailed Solution

efficiency of heat engine=η=1-T2T1T1,T2 are temperatures of source and sink;given T2 of A=T1 of B=Tgiven efficiencies are equal⇒ηA=ηB1−T800A=1−200TB ; suffixes are for understanding1−T800=1−200T ⇒T800=200T⇒T2=800×200⇒T=400K
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