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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 gt P_1,W gt 0`

B

`P_3 lt P_1,W lt 0`

C

`P_3 gt P_1,W lt 0`

D

`P_3=P_1,W=0`

Text Solution

Verified by Experts

The correct Answer is:
C

`(P_1,V_1)overset(isothermal)to(P_2,V_2)overset(adiabatic)to(P_3,V_1)`
`P_3gtP_1`
`DeltaW_(1rarr2)=+ve,DeltaW_(2rarr3)=-ve`
`|DeltaW_(2rarr3)|gtDeltaW_(1rarr2)`
`W=DeltaW_(1rarr2)+DeltaW_(2rarr3)=-ve`
`Wlt0`
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