A Carnot engine used first an ideal monoatomic gas (γ = 53) and then an ideal diatomic gas (γ = 75) as its working substance. The source and sink temperatures are 4110C and 690C respectively and the engine extracts 1000 J of heat from the source in each cycle. Then
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a
the efficiency of the engine in the two cases are in the ratio 2l :25
b
the area enclosed by the P-V diagram in the first case only is 500 J
c
the area enclosed by the P-V diagram in both cases only is 500 J
d
the heat energy rejected by the engine in the first case is 600 J while that in the second case is 714.3 J
answer is C.
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Detailed Solution
η = 1-TLTH= 1-342684= 12Now η = WQ or 12= W1000 or W = 500 J, Efficiency of carnot engine does not depend upon working substance.