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A heat engine takes in 300 K cal of heat...

A heat engine takes in 300 K cal of heat from a reservoir at `627^(@)C` and gives it to a sink at `27^(@)C`. The work done by the engine is

A

`4.2xx10^(6)J`

B

`16.8xx10^(6)J`

C

`8.4xx10^(6)J`

D

`2.1xx10^(6)J`

Text Solution

Verified by Experts

The correct Answer is:
C
`Q=3000xx10^(3)` cal
`=3xx10^(6)xx4.2J=12.6xx10^6J`
`W=Q(1-(T_(2))/(T_(1)))`
`=12.6xx10^(6)(1-(300)/(900))=12.6xx10^(6)xx(2)/(3)`
`=8.4xx10^(6)J`.
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