How does the mean free path depent on the diameter (size) of the molecules?

How does mean free path depend on the diameter (size) of the molecule?

How does the mean free path depend on the number density of molecules?

How is mean free path related to the size of the molecule.

What is mean free path of a gas molecule? Show that the mean free path is inversely proportional to the pressure of the gas. Does the mean free path depend upon the temperature of the gas?

The mean free path l for a gas molecule depends upon diameter d of molecule as

The mean free path l for a gas molecule depends upon diameter d of molecule as

How is mean free path related to density of the gas.