The efficiency of Carnot's heat engine is 0.5 when the temperature of the source is T_1 and that of sink is T_2. The efficiency of another Carnot's heat engine is also 0.5. The temperature of source…

Question

The efficiency of Carnot's heat engine is 0.5 when the temperature of the source is T_1 and that of sink is T_2. The efficiency of another Carnot's heat engine is also 0.5. The temperature of source and sink of the second engine are respectively

Accepted Answer

Correct answer: A. (a) Efficiency of Carnot's heat engine, =1- T_2T_1 For first Carnot's heat engine, 0.5=1- T_2T_1 For second heat engine, 0.5=1- T_2^ 'T_1^ ' Efficiency remains the same when both T_1 and T_2 are increased by same factor. Therefore, the temperature of source and sink of second engine are T_1^ '=2T_1 ,T_2^ '=2T_2

$The efficiency of Carnot's heat engine is 0.5 when the temperature of the source is T_{1} and that of sink is T_{2} . The efficiency of another Carnot's heat engine is also 0.5. The temperature of source and sink of the second engine are respectively$

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