A reversible engine converts one-sixth of the heat supplied into work. When the temperature of the sink is reduced by 62∘C, the efficiency of the engine is doubled. The temperature of the source and sink are:
A
99∘C,37∘C
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B
80∘C,37∘C
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C
95∘C,37∘C
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D
90∘C,37∘C
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Solution
The correct option is A99∘C,37∘C Given : Work W=16QH
∴ Efficiency of engine η=WQH=16 .........(1)
Let the initial source and sink temperatures be TH and TL respectively.
∴η=1−TLTH
or, 16=1−TLTH⟹TH=1.2TL ........(2)
Now the sink temperature is reduced by 62oC i.e T′L=TL−62 ........(3)