The document discusses the derivation of the Boltzmann factor e^(-ε/kT). It explains that processes occur when a particle's energy ε is a multiple of the average kinetic energy kT per particle, such as 20-30 times kT. While unlikely, particles can gain this extra energy through random collisions with other particles. The chances of gaining enough energy to overcome an energy barrier ε decreases exponentially with increasing ε/kT according to the Boltzmann factor. Therefore, the rate of a reaction is proportional to e^(-ε/kT).