An ideal gas expands isothermally from a volume ${\mathrm{V}}_1 \mathrm{to} {\mathrm{V}}_2$ and then compressed to original volume ${\text{V}}_1$ adiabatically. Initial pressure is ${\mathrm{P}}_1$ and final pressure is ${\mathrm{P}}_2$. The total work done is W. Then

• A

  ${\mathrm{P}}_3 > {\mathrm{P}}_1, \mathrm{W} > 0$

• B

  ${\mathrm{P}}_3 < {\mathrm{P}}_1, \mathrm{W} <\hspace{0.17em}0$

• C

  ${\mathrm{P}}_3 > {\mathrm{P}}_1, \mathrm{W} < 0$

• D

  ${\mathrm{P}}_3 = {\mathrm{P}}_1, \mathrm{W} = 0$