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The van der Waal equation is given as (P + an^2/V^2)(v - nb) = nRT

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The van der Waal equation is given as

\((P + \frac{an^2}{V^2})\) (v - nb) = nRT

(a) [atm][m6][mol]-2

(b) [atm]2[m2][mol]2

(c) [atm]3[m3][mol]1

(d) [atm]0

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Correct answer: (a) [atm][m6][mol]-2

Explanation:

Since, \((P + \frac{an^2}{V^2})\) is a summation, the component P and \( \frac{an^2}{V^2}\) should have same dimension.

\( \frac{an^2}{V^2}\) = [atm]

\( \frac{a(mol)^2}{(m^3)^2}\) = [atm]

Hence, dimension of ‘a’ has to be [atm][m6][mol]-2

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