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A reversible engine has an efficiency of...

A reversible engine has an efficiency of `1/4` If the temperature of the sink is reduced by `58^(@)` C, its efficiency becomes double. Calculate the temperature of the sink :

A

`180.4^@C`

B

`382^@C`

C

`174^@C`

D

`280^@C`

Text Solution

Verified by Experts

The correct Answer is:
C
`T_2` sink temperature
`eta = 1-T_2/T_1`
`1/4=1-T_2/T_1`
`T_2/T_1=3/4`
`1/2=1-(T_2-58)/T_1`
`T_2/T_1-58/T_1=1/2`
`3/4 =58/T_1+1/2`
`1/4=58/T_1impliesT_1=232`
`T_2=3/4xx232`
`T_2=174^@C`
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