Physics thermodynamics?

Question

From what height ( in meters) must an oxygen molecule fall in a vacuum so that its kinetic energy at the bottom equals the average energy of an oxygen molecule at 300 K?

Answer 1

the energy of a molecule after falling from height h=mgh so
mgh=<1/2 mv2> and
3/2 kT = <1/2 mv2>
k is Boltzmann’s constant, k = 1.38 x 10-23 JK-1(molecule)-1