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The correct van der Waals equation for 1 mole of a real gas is :

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$(p + \frac{a}{V^{2}}) (V - b) = RT$

$(p + \frac{{an}^{2}}{V^{2}}) (V^{2} - nb) = RT$

$(p + \frac{V^{2}}{a}) (V - b) = RT$

$(p + \frac{a^{2}}{V}) (V - nb) = nRT$

answer is A.

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Detailed Solution

$p = [p_{i} + \frac{a}{v^{2}}]$ for 1 mole of gas
V = (v-b)
$∴ [p_{i} + \frac{a}{v^{2}}] [v - b] = RT$ for 1 mole of gas

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