An ideal gas is initially at `P_1,V_1` is expands to `P_2,V_2` isothermally 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. `Wgt0, P_3gtP_1`
B. `Wlt0, P_3gtP_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` , in the second process `W` is `-ve` and area under the curve of second process is more. Therefore, the net work `lt0` and also `P_(3)gtP_(1)` .