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Work done by a system under isothermal change from a volume ${V_1}$ to ${V_2}$ for a gas which obeys Vander Waal's equation $(V - \beta n)\,\left( {P + \frac{{\alpha {n^2}}}{V}} \right) = nRT$
  • A$nRT{\log _e}\left( {\frac{{{V_2} - n\beta }}{{{V_1} - n\beta }}} \right) + \alpha \,{n^2}\,\left( {\frac{{{V_1} - {V_2}}}{{{V_1}{V_2}}}} \right)$
  • B$nRT{\log _{10}}\left( {\frac{{{V_2} - \alpha \beta }}{{{V_1} - \alpha \beta }}} \right) + \alpha \,{n^2}\,\left( {\frac{{{V_1} - {V_2}}}{{{V_1}{V_2}}}} \right)$
  • C$nRT{\log _e}\left( {\frac{{{V_2} - n\alpha }}{{{V_1} - n\alpha }}} \right) + \beta \,{n^2}\,\left( {\frac{{{V_1} - {V_2}}}{{{V_1}{V_2}}}} \right)$
  • D$nRT{\log _e}\left( {\frac{{{V_1} - n\beta }}{{{V_2} - n\beta }}} \right) + \alpha \,{n^2}\,\left( {\frac{{{V_1}{V_2}}}{{{V_1} - {V_2}}}} \right)$
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