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At low pressure Van der Waal's equation is reduced to $[P+\large\frac{a}{V^2}]V = RT$ The compressibility factor can be given as

$(a)\;1-\large\frac{a}{RTV}\qquad(b)\;1-\large\frac{RTV}{a}\qquad(c)\;1+\large\frac{a}{RTV}\qquad(d)\;1+\large\frac{RTV}{a}$

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$(P+\large\frac{a}{V^2})V = RT$
$(Or) = PV + \large\frac{a}{V} = RT$
$\large\frac{PV}{RT} + \large\frac{a}{RTV} = 1$
(Or) $\large\frac{PV}{RT} = (1-\large\frac{a}{RTV})$
$\Rightarrow Z$
Hence answer is (a)
answered Mar 3, 2014 by sharmaaparna1
 

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