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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
For first process `W rarr +ve`
`DeltaV rarr +ve`
for second process `W rarrve`
` DeltaV rarr-ve`
area under the second curve is more.
`W_("net") lt0 and P_3 gt P_1`
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