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 $....\, \times 10^{11}$
A$6$
B$3$
C$1.5$
D$0.75$
JEE MAIN 2021, Medium
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C$1.5$
c $KE =\frac{3}{2} kT$
$PV =\frac{ N }{ N _{ A }} RT$
$N =\frac{ PV }{ kT }$
$= N =1.5 \times 10^{11}$
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