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