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.

Options

A. `W gt 0, 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 0, P_(3) lt P_(1)`

Answer

B

Explanation

In the first process W is + ve as `DeltaV` is positive, in the p second process W is - ve as `DeltaV` is - ve and area under the curve of second process is more
`therefore` Net Work `lt 0` and also `P_(3) gt P_(1)`