If the kinetic energy of a helium atom at tem | vedclass

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(D) The average kinetic energy of a gas molecule is given by $E = \frac{3}{2}kT$,where $k$ is the Boltzmann constant and $T$ is the absolute temperatu

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$\frac{3RT}{2E}$

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(D) The average kinetic energy of a gas molecule is given by $E = \frac{3}{2}kT$,where $k$ is the Boltzmann constant and $T$ is the absolute temperature.From this,we can express the Boltzmann constant as $k = \frac{2E}{3T}$.The Avogadro constant $N_A$ is related to the universal gas constant $R$ and the Boltzmann constant $k$ by the relation $R = N_A k$,which implies $N_A = \frac{R}{k}$.Substituting the value of $k$ into the equation for $N_A$,we get $N_A = \frac{R}{(2E/3T)}$.Simplifying this,we obtain $N_A = \frac{3RT}{2E}$.

If the kinetic energy of a helium atom at temperature $T$ is $E$,then the Avogadro constant $N_A$ is given by:

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