For an ideal gas, the number of moles per litre in terms of its pressure $P$ , gas constant $R$ and temperature $T$ is:

P T / R

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P R T

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P / R T

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R T / P

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Solution

The correct option is C $P / R T$
From ideal gas equation, $P V = n R T .$

No. of moles per liter $= \frac{n}{V} .$

$P V = n R T$

$\frac{P}{R T} = \frac{n}{V}$

$∴$ No. of moles per liter $= \frac{n}{V} = \frac{P}{R T} .$

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