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A Carnot engine takes 3xx10^6cal. of hea...

A Carnot engine takes `3xx10^6cal`. of heat from a reservoir at `62^@C`, and gives it to a sink at `27^@C`. The work done by the engine is

A

`4.2xx10^6J`

B

`8.4xx10^6J`

C

`16.8xx10^6J`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `eta=1-(T_2)/(T_1)=1-(273+27)/(273+627)=1-300/900=1-1/3=2/3`
But `eta=W/Q :. W/Q=2/3 rArr W=2/3xxQ=2/3xx3xx10^6`
`=2xx10^6cal =2xx10^6xx4.2J=8.4xx10^6J`
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