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

Option: 1

\frac{3PV}{2} only if the gas is monoatomic


Option: 2

\frac{3PV}{2} only if the gas is diatomic


Option: 3

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


Option: 4

None of the above


Answers (1)

best_answer

Translational degree of freedom for any type of gas is three.

Therefore total translational kinetic energy 

                                              \begin{aligned} & =3\left[\frac{1}{2} n R T\right] \\ & =\frac{3 P V}{2} \end{aligned}

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manish

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