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Use the Rydberg equation to calculate the wavelength (in Å) of the photon absorbed when a hydrogen atom undergoes a transition from n = 1 to n = 3.
Å

2007-11-05 08:23:28 · 1 answers · asked by Anonymous in Science & Mathematics Chemistry

1 answers

Without considering the fine structure, the electron energy level of the hydrogen atom can be written as:
En = -2.179×10^-18 J/ n^2
Thus E1 = -2.179×10^-18 J
E3 = -0.242x10^-18 J
Photon energy must be: E3 - E1 = 1.937x10^-18 J

To convert energy to either frequency or wavelength we use:
E = hν = hc/λ
where E the energy in J, h the Plank constant 6.626x10^-34 J•s, ν the frequency in 1/s or Hz, c the speed of light 2.998x10^8 m/s, and λ the wavelength in m. Thus:
λ = hc/E = (6.626x10^-34 J•s)*(2.998x10^8 m/s)/(1.937x10^-18 J)
= 1.026x10^-7m = 1026Å

2007-11-08 14:09:13 · answer #1 · answered by Hahaha 7 · 0 0

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