First slide

Gaseous state

Question

$If (\frac{ab}{V^{2}}) is negligible, then second virial coefficient B in virial equation is$

Moderate

A

$(b - \frac{a}{RT})$
B

$(b + \frac{a}{RT})$
C

$(b + \frac{a}{RTV})$
D

$(b - \frac{a}{RTV})$

Solution

$(p + \frac{a}{V^{2}}) (V - b) = RT pV + \frac{a}{V} - \frac{ab}{V^{2}} - pb = RT pV = RT + pb - \frac{a}{V} = RT + \frac{RT}{V} b - \frac{a}{V} = RT [1 + \frac{1}{V} (b - \frac{a}{RT}) + \dots] On comparison with pV = RT (1 + \frac{B}{V} + \dots) B = (b - \frac{a}{RT})$

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