If $1$ L of $O_{2}$ at $15^{o} C$ and $750$ mm pressure contains $N$ molecules, the number of molecules in $2$ L of $S O_{2}$ under the same conditions of temperature and pressure will be :

\frac{N}{2}

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N

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2 N

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4 N

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Solution

The correct option is D $2 N$
Under similar conditions of temperature and pressure, equal volume of gas contains equal number of molecules.
$∴ 1 L = N$ molecules
$2 L = 2 N$ molecules

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The molecular weight of $O_{2}$ and $S O_{2}$ are 32 and 64 respectively. If one litre of $O_{2}$ at $15^{\circ} C$ and 750 mm pressure contains 'N' molecules, the number of molecules in two litres of $S O_{2}$ under the same conditions of temperature and pressure will be