An ideal gas expands isothermally from a volume \[{{V}_{1}}\] to \[{{V}_{2}}\] and then compressed to original volume \[{{V}_{1}}\]adiabatically. Initial pressure is \[{{P}_{1}}\] and final pressure is \[{{P}_{3}}\]. The total work done is W. Then [IIT-JEE (Screening) 2004]

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