MaxWell's Speed Distribution Law
It is an equation giving the distribution of molecules in different speeds in a gas at a temperature.
If dN represents the number of molecules with speeds between v and v+dv then
dN = 4πN[m/2πkT]3/2v²e-mv²/2kTdv
dN represents the number of molecules with speeds between v and v+dv
N = total number of molecules in the gas
m = mass of a molecule
T = absolute temperature of the gas
v = velocity of the molecules
The speed vp at which dN/dv is maximum is called the most probable speed.
Its value is given by
vp = √(2kT/m)
(Topic: Kinetic theory of gases)