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  4. The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 × 10-9 J per molecules is :

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Q. The number of molecules in one litre of an ideal gas at $300\, K$ and $2$ atmospheric pressure with mean kinetic energy $2 \times 10^{-9} J$ per molecules is :

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Solution:

$K E=\frac{3}{2} k T$
$P V=\frac{N}{N_{A}} R T$
$N=\frac{P V}{k T}$
$=N=1.5 \times 10^{11}$