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Q.

The number of molecules per unit volume of a gas is given by

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a

$\frac{p}{k T}$

b

$\frac{k T}{p}$

c

$\frac{p}{R T}$

d

$\frac{R T}{p}$

answer is A.

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Detailed Solution

$p V = n R T = (n N) \frac{R}{N} T = (n N) k T$

or $\frac{n N}{V} = \frac{p}{k T} .$ But, $\frac{n N}{V}$ are the number of molecules per unit volume.

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