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(D) The total translational kinetic energy $(K_{trans})$ of a gas is given by the formula $K_{trans} = \frac{3}{2}nRT$.From the ideal gas equation,we

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$\frac{3}{2}PV$ in all cases

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(D) The total translational kinetic energy $(K_{trans})$ of a gas is given by the formula $K_{trans} = \frac{3}{2}nRT$.From the ideal gas equation,we know that $PV = nRT$.Substituting $nRT$ with $PV$,we get $K_{trans} = \frac{3}{2}PV$.This expression depends only on the translational degrees of freedom,which is always $3$ for any gas molecule regardless of its atomicity (monoatomic,diatomic,or polyatomic).Therefore,the total translational kinetic energy is $\frac{3}{2}PV$ in all cases.

$A$ gas has volume $V$ and pressure $P$. The total translational kinetic energy of all the molecules of the gas is

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