Chemistry Practice Problems Bohr and Balmer Equations Practice Problems Solution: The Lyman series of emission lines of the hydrogen...

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# Solution: The Lyman series of emission lines of the hydrogen atom are those for which nf = 1.Determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed.

###### Problem

The Lyman series of emission lines of the hydrogen atom are those for which nf = 1.

Determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed.

###### Solution

We’re being asked to determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed.

We compute the first three wavelengths correspond to Lyman series with nfinal = 1

$\overline{)\frac{\mathbf{1}}{\mathbf{\lambda }}{\mathbf{=}}{{\mathbf{RZ}}}^{{\mathbf{2}}}\left(\frac{\mathbf{1}}{{{\mathbf{n}}^{\mathbf{2}}}_{\mathbf{final}}}\mathbf{-}\frac{\mathbf{1}}{{{\mathbf{n}}^{\mathbf{2}}}_{\mathbf{initial}}}\right)}$

λ = wavelength, m
R = Rydberg constant = 1.097x107 m-1
Z = atomic number of the element
ninitial = initial energy level
nfinal = final energy level

Calculate the wavelength λ :

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