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An ideal gas is initially at P1,V1 is ex...

An ideal gas is initially at `P_1,V_1` is expands to `P_2,V_2` and then compressed adiabatically to the same volume `V_1` and pressure `P_3.` If W is the net work done by the gas in complete process which of the following is true.

A

`W gt O, P_3 gt P_1`

B

`W lt 0, P_3 gt P_1`

C

`W gt 0 , P_3 lt P_1`

D

`W lt , P_3 gt P_1`

Text Solution

Verified by Experts

The correct Answer is:
B
In the first process W is +v3 as `Delta V` is `+ve` , in the second process W is `-ve` as `Delta V` is `-ve` and area under the curve of second process is more. Therefore, the net work `lt` 0 and also `p_3 gt P_1`.
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