. 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 )
Related questions
