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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^(6)J`

B

`8.4xx10^(6)J`

C

`16.8xx10^(6)J`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
`eta=1-(T_2)/(T_1)=W/Q implies W =(1-(T_1)/(T_2))Q={1-((273+27))/((273+627))}`
`implies W = (1-300/900)xx3xx10^(6)`
`=2xx10^(6)xx4.2J = 8.4xx10^(6)J`.
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