Question

The mean free path is ________.

Answer 1

Mean free path

The equation for mean free path is given by,

$$\begin{gathered} \lambda =\frac{dis\tan cetravelled}{Numberofcollisions} \\ \Rightarrow \lambda =\frac{vt}{n{\mathrm{\pi d}}^2\mathrm{vt}} \\ \Rightarrow \lambda =\frac{1}{\sqrt{2}{\mathrm{\pi d}}^2{\displaystyle n}} \end{gathered}$$
Where,

$\lambda \to$Mean free path

$n=\frac{N}{V}\to$ Number density (number of molecules per unit volume)

$d\to$ Diameter of the molecule

In kinetic theory, mean free path is the mean distance travelled by a molecule between two successive collisions.

The mean free path is the average distance an object will travel between collisions.