Which of the following expressions represents the value and unit of van der Waals' constant $a$ ?

a = \frac{V}{n}, L m o l^{- 1}

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a = \frac{P V}{n}, a t m L^{2} m o l^{- 1}

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a = \frac{P V^{2}}{n^{2}}, a t m L^{2} m o l^{- 1}

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a = \frac{P}{n}, a t m m o l^{- 1}

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Solution

The correct option is C $a = \frac{P V^{2}}{n^{2}}, a t m L^{2} m o l^{- 1}$
Van der waals equation of State is $(P + \frac{n^{2} a}{V^{2}} (V - n b) = n R T$
Here, constant a is given by $a = \frac{P V^{2}}{n^{2}}$
Units are $a t m - L m o l^{- 1} .$

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