Question: Develop a kinetic argument to show that in a noninteracting system the average value of the quantity (sum_{i} p_{i} dot{q}_{i}) is precisely equal to (3

Develop a kinetic argument to show that in a noninteracting system the average value of the quantity $\sum_{i} p_{i} \dot{q}_{i}$ is precisely equal to $3 P V$. Hence show that, regardless of relativistic considerations, $P V=N k T$.

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