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]

^{3/2}v²e

^{-mv²/2kT}dv

where

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 v

_{p}at which dN/dv is maximum is called the most probable speed.

Its value is given by

v

_{p}= √(2kT/m)

(Topic: Kinetic theory of gases)

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