The root mean square speed of molecules of a gas is equal to (where, m = mass of the molecule K = Boltzman's constant, T = absolute temperature)

The root mean square speed of molecules of a gas is equal to (where, m = mass of the molecule K = Boltzman's constant, T = absolute temperature) Correct Answer $$\sqrt {\frac{{3{\text{KT}}}}{{\text{m}}}} $$

empirical relation:
Root mean square speed $$ = \sqrt {\frac{{3KT}}{m}} $$

Whereas average velocity $$ = \sqrt {\frac{{8KT}}{{\pi m}}} $$
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