Question

Work done by a system under isothermal change from a volume V₁ to V₂ for a gas which obeys Vander Waal's equation $(V-\beta n)\bigg \lgroup P+\frac{\alpha n^{2}}{V}\bigg \rgroup =nRT$ is
(a) $nRT\log_{e}\bigg \lgroup \frac{V_{2}-n\beta}{V_{1}-n\beta}\bigg \rgroup +\alpha n^{2}\bigg \lgroup \frac{V_{1}-V_{2}}{V_{1}V_{2}}\bigg \rgroup$(b) $nRT\log_{10}\bigg \lgroup \frac{V_{2}-n\beta}{V_{1}-n\beta}\bigg \rgroup +\alpha n^{2}\bigg \lgroup \frac{V_{1}-V_{2}}{V_{1}V_{2}}\bigg \rgroup$
(c) $nRT\log_{e}\bigg \lgroup \frac{V_{2}-n\beta}{V_{1}-n\beta}\bigg \rgroup +\beta n^{2}\bigg \lgroup \frac{V_{1}-V_{2}}{V_{1}V_{2}}\bigg \rgroup$(d) $nRT\log_{e}\bigg \lgroup \frac{V_{1}-n\beta}{V_{2}-n\beta}\bigg \rgroup +\alpha n^{2}\bigg \lgroup \frac{V_{1}V_{2}}{V_{1}-V_{2}}\bigg \rgroup$

Answer 1

Option(b) is correct answer