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Homework Help: Boltzmann Distribution Relative Population of 2 atomic states

  1. Oct 9, 2011 #1
    1. The problem statement, all variables and given/known data

    The relative population of two atomic population states in equilibrium is given by Boltzmann Distribution:

    n1/n0 (proportional to) e^(-ε/(κT)) , where ε is the energy difference between the two states, T is the temperature and κ is the Boltzmann constant = (1.38 x 10^(-23) J/K). For the transition from n = 2 to n = 1, the energy difference is 10.2 eV. Calculate the population of the n = 1 state compared to the ground state for a temperature of T = 6000K.

    2. Relevant equations

    n1/n0 (proportional to) e^(-ε/(κT))
    I don't know if I need any other equations, but I tried and tried so perhaps I do.

    3. The attempt at a solution

    What I want is n1/n0. So I use the information given by the problem to solve for the constant of proportionality.

    n2/n1 = C * e^(-10.2ev/(1.38*10^-23 J/K * 6000 K )
    n2/n1 = C * 3.75567 × 10^-9
    C = (n2/n1)/(3.75567 × 10^-9)

    so n1/n0 = C * e^(-ε/KT)

    but the problem is I dont have the epsilon for this energy difference, and I dont have n2/n1 to calculate C. halps me please.
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
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