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JEE Main levelSingle correct optionDifficulty 2 of 3rg051

The virial equation can also be written in pressure form, $Z = 1 + B^{'} P + C^{'} P^{2} + \dots$ . To first order the coefficients are related by

A $B^{'} = B$
B $B^{'} = \frac{B}{RT}$
C $B^{'} = BRT$
D $B^{'} = \frac{RT}{B}$

Answer: B

Substituting

V_{m} \approx RT / P

(valid to first order) in

Z = 1 + B / V_{m}

gives

Z \approx 1 + \frac{BP}{RT}

, so

B^{'} = B / RT

.

B^{'}

has units of inverse pressure.

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