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An ideal gas expands isothermally from v...

An ideal gas expands isothermally from volume `V_(1)` to `V_(2)` and is then compressed to original volume `V_(1)` adiabatically. Initialy pressure is `P_(1)` and final pressure is `P_(3)`. The total work done is `W`. Then

A

`P_(3)gtP_(1),Wgt0`

B

`P_(3)ltP_(1),Wlt0`

C

`P_(3)ltP_(1),Wlt0`

D

`P_(3)=P_(1),W=0`

Text Solution

Verified by Experts

The correct Answer is:
C
from graph it is clear that `P_(#) ltP_(1)` since area under adiabatic process `(BCED)` is greater that that of isotharmal process `(ABDE)`. Therefore net work done
`W = W_(i+(-W_(A)):'W_(A)lt W_(i)impliesW lt 0`
.
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