For which combination of working temperatures of source and sink, the efficiency of Carnot's heat engine is maximum?

600 K, 400 K

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400 K, 200 K

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500 K, 300 K

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300 K, 100 K

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Solution

The correct option is D $300 K, 100 K$
Efficiency of Carnot engine $η = 1 - \frac{T_{L}}{T_{H}}$
(A) : $η_{A} = 1 - \frac{400}{600} = 0.33$

(B) : $η_{B} = 1 - \frac{200}{400} = 0.50$

(C) : $η_{C} = 1 - \frac{300}{500} = 0.40$

(D) : $η_{D} = 1 - \frac{100}{300} = 0.66$
Hence Carnot heat engine working on conditions given in option D has maximum efficiency.

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For which combination of working temperatures of source and sink, the efficiency of Carnot's heat engine is maximum?

The correct option is D 300K,100KEfficiency of Carnot engine η=1−TLTH(A) : ηA=1−400600=0.33(B) : ηB=1−200400=0.50(C) : ηC=1−300500=0.40(D) : ηD=1−100300=0.66Hence Carnot heat engine working on conditions given in option D has maximum efficiency.