A Carnot engine operates between a source and a sink. The efficiency of the engine is 40 \% and the temperature of the sink is 27^ C. If the efficiency is to be increased to 50 \% then the temperatur…

Question

A Carnot engine operates between a source and a sink. The efficiency of the engine is 40 \% and the temperature of the sink is 27^ C. If the efficiency is to be increased to 50 \% then the temperature of the source must the increased by

Accepted Answer

Correct answer: C. (c) We have =1- T_2T_1 So, initially 0.4=1- 300 T_1 ⇒ 300 T_1=0.6 ⇒T_1=500 K Finally, 0.5=1- 300 T_1+ T ⇒ 300 T_1+ T=0.5 ⇒T_1+ T=600 K ⇒500+ T=600 ⇒ T=100 K

$A Carnot engine operates between a source and a sink. The efficiency of the engine is 40 % and the temperature of the sink is 27^{\circ} C . If the efficiency is to be increased to 50 % then the temperature of the source must the increased by$

Solution

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