5. In some textbooks, the Boltzmann distribution is written as a probability density over energies, not speeds. In other words, the distribution is written as (E), where (E)dE refers to the probability that a molecule has an energy between E and E+dE. A) Starting with the distribution of speeds, show that the energy distribution is given by (E)= const EeE/kT. Find the proportionality constant. B) Find the most probable energy Emost in this distribution. C) The most probable molecular energy does not equal mvmost2/2, where vmost=m2kT is the most probable molecular speed. Why not? After all, shouldn't molecules that move at the most probable speec also have the most probable energy