RMS velocity of gas particles vs Average velocity?

Is the root-mean-square velocity of gas particles always faster than the average velocity?

RMS velocity of gas particles vs Average velocity?

I’ve done a couple of calculations with both and that seems to be the case; however can you make a formal mathematical proof of it?

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2 Answer(s)

The classical analysis is known as the Maxwell-Boltzmann distribution.

The RMS velocity is about 108% of the average velocity.

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Root-mean-square velocity is a scalar, average velocity is a vector. I am not sure how one can compare them. Maybe you meant the absolute value of average velocity?

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