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A fixed mass of a gas is first heated is...

A fixed mass of a gas is first heated isobarically to double the volume and then cooled isochorically to decrease the temperature back to the initial value. By what factor would the work done by the decreased, had the process been isothermal?

A

`2`

B

`1//2`

C

`in 2`

D

`in 3`

Text Solution

Verified by Experts

The correct Answer is:
C
`DeltaW_(ABC) = 2P(2V-V)=2PV`
`DeltaW_(ADC)=nRT 1n(2V//V)`
`=2PV 1n 2`

`:.` The required factor will be
`=(2PV1n 2)/(2PV) = 1n 2`.
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