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If ' $\mathrm{E}$ ' is the kinetic energy per mole of an ideal gas and ' $\mathrm{T}$ ' is the absolute temperature, then the universal gas constant is given as
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The correct answer is:
$\frac{2 E}{3 T}$
The kinetic energy per mole $\mathrm{E}=\frac{3}{2} \mathrm{RT}$
$\therefore \mathrm{R}=\frac{2 \mathrm{E}}{3 \mathrm{~T}}$
$\therefore \mathrm{R}=\frac{2 \mathrm{E}}{3 \mathrm{~T}}$
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