The Maxwell-Boltzmann distribution is given by
dN/N = (m/2πkbt)1/2x
- dN/N is the fraction of molecules moving at velocity v to v + dv,
- m is the mass of the molecule,
- kb is the Boltzmann constant, and
- T is the absolute temperature.
Average Velocity is displacement over total time. We calculate the expectation value of v
¯v=∫f(v)vdv
The first typical velocity is the easiest to calculate and termed as the most probable velocity ˜v
