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Greatest Integer Function

If V is mol...

Question

If $V$ is molar volume of gas and gas obey van der Waal's equation, the intercept of the plot $P V$ (y-axis) vs. $P$ (x-axis) is :

R T

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- R T

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a + \frac{R T}{V}

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n R T

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Solution

The correct option is A $R T$
According to vander waal's equation,
$[P + \frac{a}{V^{2}}] [V - b] = R T$
$P V = R T - \frac{a}{V} + \frac{a b}{V^{2}} + P b$
If we plot graph between $P V$ and $P$ then,
At intercept on y-axis $P = 0$ and and $V \to \infty$
and equation becomes :
$P V y = R T c + P b m x$
so intercept is $R T$ .

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(A) High pressure	(i) $P V = R T + P b$
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