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

A Carnot engine takes `3xx10^6` 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

`4.2 xx 10^(6) J`

B

`8.4 xx 10^(6) J`

C

`16.8 xx 10^(6) J`

D

zero.

Text Solution

Verified by Experts

The correct Answer is:
b
`T_(1) = 627 + 273 = 900 K `
` Q_(1) = 3 xx 10^(6) " cal , " T_(2) = 27 + 273 = 300 K `
` :. Q_(1)/T_(1) = Q_(2)/T_(2)`
` rArr Q_(2) = T_(2)/T_(1) xx Q_(1) = 300/900 xx 3 xx 10^(6) = 1 xx 10^(6) ` cal
Work done ` = Q_(1) - Q_(2) = 3 xx 10^(6) - 1 xx 10^(6) J`
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