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Q. At a given temperature which of the following gases possesses maximum r.m.s. velocity?

Kinetic Theory

Solution:

The root mean square velocity of a gas is given by:
$
V _{ RMS }=\sqrt{\frac{3 RT }{ M }}
$
For a given temperature, RMS velocity is inversely proportional to molecular mass. Hence the one with smallest molecular mass has the highest RMS velocity. Which is Hydrogen,