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A Carnot engine used first an ideal monoatomic gas ( $γ = \frac{5}{3}$ ) and then an ideal diatomic gas ( $γ = \frac{7}{5}$ ) as its working substance. The source and sink temperatures are $411^{0} C and 69^{0} C$ respectively and the engine extracts 1000 J of heat from the source in each cycle. Then

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the efficiency of the engine in the two cases are in the ratio 2l :25

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

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

the heat energy rejected by the engine in the first case is 600 J while that in the second case is 714.3 J

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detailed solution

Correct option is C

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.

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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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