Chemistry Practice Problems Bohr and Balmer Equations Practice Problems Solution: What is the wavelength of the line corresponding t...

Solution: What is the wavelength of the line corresponding to n=4 in the Balmer series?

Problem

What is the wavelength of the line corresponding to n=4 in the Balmer series?

Solution

We can determine the wavelength, λ of the line corresponding to n=4 in the Balmer series using the Balmer Equation shown below:

Recall that for the Balmer series the final principal energy level nf is always = 2.

$\overline{)\frac{1}{\lambda }{=}{R}{×}\left(\frac{1}{{{n}_{f}}^{2}}-\frac{1}{{{n}_{i}}^{2}}\right)}$

λ  = wavelength, m

R = 1.0974 x 107m-1 (Rydberg Constant)      **value can be found in textbooks or online
ni = initial principal energy level
nf = final principal energy level = 2 for Balmer Series

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