Relation between relaxation time and temperature:

- In kinetic theory of gases (KTG), relaxation time is the average time taken by a gas molecule to collide with other molecules and regain thermal equilibrium.
- The relaxation time is inversely proportional to temperature according to the relation τ ∝ 1/T. This means that as the temperature of the gas increases, the relaxation time decreases.
- This relationship can be understood by considering that at higher temperatures, the molecules move faster and collide more frequently, leading to quicker attainment of thermal equilibrium.

Relation between mean free path and temperature:

- The mean free path in KTG is the average distance a gas molecule travels between collisions with other molecules.
- The mean free path is directly proportional to temperature according to the relation λ ∝ T. This means that as the temperature of the gas increases, the mean free path also increases.
- This relationship can be explained by the fact that at higher temperatures, the molecules move faster and cover larger distances before colliding with other molecules, resulting in a longer mean free path.