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Relationship Between Kinetic Energy and Temperature

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Hello everyone,

I am currently reading the pages from a book called Thermal Physics, which was written by Daniel Schroeder; the pages to which I refer are 10-13. In these pages, he derives the relationship [itex]\bar{T} = kT[/itex]. Here is one line that intrigues me,

"So if this model is accurate, the temperature of a gas is a direct measure of the average translational kinetic energy of its molecules."

I was wondering, does anyone know of any experiments that had (or are) been conducted to verify this formula, as I would be very interested in reading an account of these experiments.

Thank you.

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