The S.I. unit of the gas constant R is: | vedclass

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Question

(C) The ideal gas equation is given by $PV = nRT$.Rearranging for $R$,we get $R = \frac{PV}{nT}$.In $S.I.$ units,pressure $P$ is measured in $Pascal$

Vedclass · Accepted Answer

$8.31 \, J \, K^{-1} \, mol^{-1}$

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(C) The ideal gas equation is given by $PV = nRT$.Rearranging for $R$,we get $R = \frac{PV}{nT}$.In $S.I.$ units,pressure $P$ is measured in $Pascal$ ($Pa$ or $N \, m^{-2}$),volume $V$ in $m^3$,and temperature $T$ in $K$.Substituting these units: $R = \frac{(N \, m^{-2}) 	imes (m^3)}{mol 	imes K} = N \, m \, K^{-1} \, mol^{-1} = J \, K^{-1} \, mol^{-1}$.The value of the universal gas constant $R$ in $S.I.$ units is $8.314 \, J \, K^{-1} \, mol^{-1}$.

The $S.I.$ unit of the gas constant $R$ is:

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