The speed distribution of molecules in a container is the Maxwell distribution v_m, (v) , and v_rms. The number with speed v that hit the wall in a given time is proportional to the speed v and to f (v). Thus, if there is a very small hole in the wall (too small to have much effect on the distribution inside), the speed distribution of those that escape is F(v) ∞ vf (v) ∞ v³e^-mv2/2kT. Show that the mean energy of those that escape is 2kT.