The work done during an isothermal process is: 

1
\({P_1}{V_1}{\log _e}\left( {\frac{{{v_2}}}{{{v_1}}}} \right)\)
2
\({P_1}{V_2}{\log _e}\left( {\frac{{{v_1}}}{{{v_2}}}} \right)\)
3
\({P_2}{V_2}{\log _e}\left( {\frac{{{P_2}}}{{{P_1}}}} \right)\)
4
\(\frac{{{P_2}{V_2} - {P_1}{V_1}}}{{n - 1}}\)

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