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)
Under similar conditions of temperature and pressure, equal volumes of all gases contain equal number of molecules.
(Basic concepts of chemistry)
The sum of the resolved parts of two forces acting through a point along any direction is equal to the resolved part of the resultant of the two forces along that direction.
If you find the resolved parts in some direction initially and then find their resultant, it will be equal to the resolved part of the resultant of the two forces in the same direction.