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Find relative number of H atoms in n=1,2,3,4 energy levels

  1. Apr 27, 2013 #1
    The problem:

    Find the relative numbers of hydrogen atoms in the chromosphere (T=5000 K) in the n=1, 2, 3, and 4 energy levels.

    Solution:

    The Boltzmann distribution of energies is

    [itex]n(ε)dε=\frac{2πN}{(πkT)^{3/2}}\sqrt{ε}e^{-ε/kT}dε[/itex]

    So using this I calculated the ratio to be, 1 : 5.4 x 10^-11 : 6.7 x 10^-13 : 1.5 x 10^-13.

    Can anyone confirm this?
     
  2. jcsd
  3. Apr 27, 2013 #2

    TSny

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    Homework Helper
    Gold Member

    This is not applicable to this problem. You are dealing with a system that has discrete energies. See http://en.wikipedia.org/wiki/Boltzmann_distribution
     
  4. Apr 27, 2013 #3
    Actually I used that formula, accounting for the degeneracies of the energy levels, and got the correct answer.
     
    Last edited: Apr 27, 2013
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