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An engine has an efficiency of (1)/(6). ...

An engine has an efficiency of `(1)/(6)`. When the temperature of sink is reduced by `62^(@)C`, its efficiency id doubled. Temperature of the source is

A

`62^(@)C,124^(@)C`

B

`99^(@)C,37^(@)C`

C

`124^(@)C,62^(@)C`

D

`37^(@)C,99^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
`eta=1-(T_(2))/(T_(1))`
`1/6=1-(T_(2))/(T_(1))rArr(T_(2))/(T_(1))=5/6`
Finally, efficiency is doubled on reducing sink temperature by `62^(@)`
`rArr2/6=1-(T_(2)-62)/(T_(1))=4/6rArr(T_(2))/(T_(1))-62/(T_(1))=4/6`
`T_(1)=372K=99^(@)C,T_(2)=310K=37^(@)C`
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Knowledge Check

  • An engine has an efficiency of 0.25 when temperature of sink is reduced by 58^(@)C , If its efficiency is doubled, then the temperature of the source is

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