. A Carnot engine has an efficiency of 1/6


When the temperature of the sink is reduced by 62ºC , its efficiency is doubled. The temperatures of the source and the sink are, respectively

A: 124ºC  ,62ºC

B: 37ºC  ,99ºC

C: 62ºC,124ºC

D: 99ºC  ,37ºC

 

Best Answer

Explanation:

The efficiency of the carnot’s engine can be given by

1/6=1-Tsink/Tsource

⇒Tsink/Tsource=5/6

We can also write

2/6=1-Tsink-62/Tsource

⇒6/2Tsource=1/6

⇒Tsource=372K=99ºC

Now Tsink=5/6×372K=310K=37ºC

Final answer:

The correct option is (D).⇒ ( Tsource=372K=99ºC

Now Tsink=5/6×372K=310K=37ºC ) 

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