the Maxwellian distribution of velocities for particles of a gas

N represents the total number of particles, m is the mass of each particle, and e is the base of the Naperian system of logarithms. n is a quantity such that ndv gives the number of particles with velocities between v and v+dv. k is the Boltzmann constant and T the absolute temperature. For each temperature there is a maximum in the curve at a certain velocity which becomes larger as the temperature increases. The average kinetic energy of a gas molecule is found to be equal to 3kT/2.