Is there a way to prove that $\frac{1}{2} mv^2 $$= \frac{3}{2}RT$ The first one is kinetic energy and the second is the average kinetic energy. Can this be proved by component of velocity.





These contain proof at various level . Choose according to your mathematical level

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    $\begingroup$ Would you be willing to summarize the proof in case the links break? Additionally, none of these links do a good job of explaining the steps. $\endgroup$ – Ben Norris Oct 11 '14 at 19:44

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