Mean free path of random motion

The mean free path of a molecule in random motion is its average path length between collisions.

Conditions:

  1. Spherical model of molecules is assumed.

Links:

  1. Wikipedia.

mean_free_path

Mean free path estimate of molecules.

Symbol:

lambda

Latex:

\(\lambda\)

molecular_diameter

Diameter of molecules.

Symbol:

d

number_density

Number density of the system.

Symbol:

n

law

lambda = 1 / (sqrt(2) * pi * d^2 * n)

Latex:
\[\lambda = \frac{1}{\sqrt{2} \pi d^2 n}\]