At relatively high pressures, the van der Waals' equation of state reduces to____________.

P V = R T - a / V

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P V = a R T / V^{2}

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P = R T - a / V^{2}

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P V = R T + P b

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Solution

The correct option is C $P V = R T + P b$
At fairly high pressures : $\frac{a}{V^{2}}$ may be neglected in comparison with P.
The Vender Waal's equation becomes
$P (V - b) = R T$
$P V - P b = R T$
$P V = R T + P b$ o $P V > R T$ or $(P V)_{r e a l} > (P V)_{i d e a l}$

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Similar questions

[P + \frac{a}{V^{2}}] (V - b) = R T

Column A	Column B
(A) High pressure	(i) $P V = R T + P b$
(B) Low pressure	(ii) $P V = R T - \frac{a}{V}$
(C) $P \to 0$	(iii) $P V = R T$
(D) Neither $a$ nor $b$ is negligible	(iv) $(P + \frac{a}{V^{2}}) (V - b) = R T$

[P + \frac{a}{V^{2}}] V = R T

[P + \frac{a}{V^{2}}] V = R T

[p + \frac{a}{V^{2}}] V = R T

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