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Q.

A Carnot engine uses first an ideal monoatomic gas γ=53 and then an ideal diatomic gas γ=75as its working substance. The source and sink temperature are 411°C and 69°C  respectively and the engine and the engine extracts 1000 J of heat from the source in each cycle, then :

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a

efficiencies of the engine in the two cases are in the ratio 21:25

b

area enclosed by the P-V diagram in only the first case is 500J

c

area enclosed by the P-V diagram in both cases is 500 J

d

heat rejected to the sink in the first case is 600 J while that in the second case is 713 J.

answer is C.

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Detailed Solution

η=1-T2T1=WQ1 Here T1,T2 and Q1are same for both  So W will be same.           W=Q11-T2T1=10001-342684=500 J
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