Van der Waals equation at high pressure for 1 mole is?

P V + \frac{a}{V} = R T

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PV = RT

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P (V + b ) = RT

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P (V - b ) = RT

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Solution

The correct option is D P (V - b ) = RT
Given $n = 1$
At high pressure $\frac{a}{V^{2}}$ is neglected when compared to $P$ .
Hence the equation $(P + \frac{a}{V^{2}}) (V - b) = R T$ reduces to $P (V - b) = R T$

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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 - b) = R T

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

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