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# At low pressure , the Van der Waal's equation is written as

$(a)\;\large\frac{PV}{RT} = [1-\large\frac{a}{RTV}]\qquad(b)\;\large\frac{PV}{RT} = [1-\large\frac{RTV}{a}]\qquad(c)\;\large\frac{PV}{RT} = [1+\large\frac{a}{RTV}]\qquad(d)\;\large\frac{PV}{RT} = [1+\large\frac{RTV}{a}]$

Van der Waal's equation is
$[P+\large\frac{a}{V^2}] [V-b] = RT$
At low pressure , volume correction (b) may be neglected . Thus ,
$[P+\large\frac{a}{V^2}]V = RT$
(Or) $PV + \large\frac{a}{V} = RT$
(Or) $PV = RT [ 1-\large\frac{a}{RTV}]$