Chemistry Practice Problems Bohr and Balmer Equations Practice Problems Solution: An electron in the n=7 level of the hydrogen atom ...

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Solution: An electron in the n=7 level of the hydrogen atom relaxes to a lower energy level, emitting light of 397 nm. What is the value of n for the level to which the electron relaxed?

Problem

An electron in the n=7 level of the hydrogen atom relaxes to a lower energy level, emitting light of 397 nm. What is the value of n for the level to which the electron relaxed?

Solution

We’re being asked to determine the value of n for the energy level to which the electron relaxed emitting light of 397 nm.


We’re going to use the Balmer Equation which relates wavelengths to a photon’s electronic transitions.

1λ=RZ21n2final-1n2initial

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 final energy level (nfinal):

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