Question
$S.I.$ unit of universal gas constant is

Answer

From the relation $R =\frac{2 \Delta U }{3 nT }$

where $\Delta U$ is the change in internal energy, $n$ is number of moles of gas and $\Delta T$ is change in temperature.

We get the $S.I.$ unit of universal gas constant is $JK ^{-1} mol ^{-1}$.

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