Consider a sample containing hydrogen atoms at 300 K. 

(a) Compute the number of atoms in the first (n = 2) and second (n = 3) excited states compared to those in the ground state (n = 1). Include the effects of degeneracy in your calculations.

(b) At what temperature would 1 percent of the atoms be in the n = 2 state?

(c) At the temperature found in (b), what fraction of the atoms will be in the n = 3 state?