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Solutions02

# Solutions02 - HOMEWORK 2 Astronomy Astrophysics Chapter 8 7...

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HOMEWORK 2 Astronomy & Astrophysics – Chapter 8 7. By applying the Boltzmann equation to the neutral hydrogen atom (neglect ionization), write the equation for the population of the n th energy level relative to that of the ground state at temperature T. Now, assuming that the multiplicity of each level is unity (g n = 1), construct an appropriate table of 5 values showing your results for T = 6000 K. Do the same for T = 15,000 K. What are the major differences between them? N n / N 1 = g n / g 1 exp{ - Δ E / kT } N n = N 1 exp{- Δ E / kT} N Δ E N n (6000 K) N n (15,000 K) 1 0.00 1.000 1.000 2 10.20 2.69 x 10 -9 3.73 x 10 -4 3 12.09 6.94 x 10 -11 8.64 x 10 -5 4 12.75 1.94 x 10 -11 5.18 x 10 -5 5 13.06 1.06 x 10 -11 4.08 x 10 -5

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8. To understand the relative importance of the different parameters in the Saha equation, perform the following experiment. Assume that T = 5000 K, N e = 10 15 /cm 3 , and χ = 12 eV. By what factor does the ionization ratio (N + /N o ) change when we separately a)
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Solutions02 - HOMEWORK 2 Astronomy Astrophysics Chapter 8 7...

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