At the same temperature which will move faster , N2 or Cl2

Dear Student,

We use the concept of most probable velocity to determine which gas will move faster at the same temperature.

The formula of most probable velocity is:

$v = \sqrt{\frac{2kT}{m}}=\sqrt{\frac{2RT}{M}}, where M = Molecular mass, R = Gas cons\tan t, T= Temperature$
Nitrogen gas has a mass of 28 u and chlorine gas has a mass of 71 u.

Since velocity is inversely proportional to the square root of the molecular mass,lower the molecular mass, higher will be the velocity, at the same temperature.

Thus, N₂ will move faster than Cl₂.

Hope it helps.

Regards