An ideal gas is initially at \[{{P}_{1}}\], \[{{V}_{1}}\] is expanded to\[{{P}_{2}}\], \[{{V}_{2}}\] and then compressed adiabatically to the same volume f[ and pressure \[{{P}_{3}}\] If W is the net work done by the gas in complete process which of the following is true?

• A. \[W>0;{{P}_{3}}>{{P}_{1}}\]
• B. \[W<0;{{P}_{3}}>{{P}_{1}}\]
• C. \[W>0;{{P}_{3}}<{{P}_{1}}\]
• D. \[W<0;{{P}_{3}}<{{P}_{1}}\]