Yes, the mean free path of a particle depends on temperature. According to the kinetic theory of gases, the mean free path of a particle is inversely proportional to the square root of the temperature. This means that as the temperature increases, the mean free path decreases, and as the temperature decreases, the mean free path increases.

This relationship can be understood by considering the behavior of gas particles at different temperatures. At higher temperatures, the particles have more energy and move faster, so they are more likely to collide with each other. This results in a shorter mean free path. On the other hand, at lower temperatures, the particles have less energy and move slower, so they are less likely to collide with each other. This results in a longer mean free path.

The dependence of mean free path on temperature has important implications in various fields. For example, in the study of gas transport phenomena, the mean free path is a crucial parameter in determining the viscosity and thermal conductivity of gases. It also plays a role in understanding the behavior of plasmas and semiconductors, where the mean free path of charge carriers affects the electrical and thermal properties of these materials.