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

🤓 Based on our data, we think this question is relevant for Professor Hamilton's class at UAB.

# 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.

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

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 final energy level (nfinal): View Complete Written Solution

Bohr and Balmer Equations

Bohr and Balmer Equations

#### Q. Consider a hydrogen atom in the ground state. What is the energy of its electron?Now consider an excited- state hydrogen atom. What is the energy of t...

Solved • Thu Dec 21 2017 09:56:38 GMT-0500 (EST)

Bohr and Balmer Equations

#### Q. How much energy does the electron have initially in the n=4 excited state? Enter your answer numerically in joules.    What is the change in energy if...

Solved • Tue Dec 19 2017 10:48:53 GMT-0500 (EST)

Bohr and Balmer Equations

#### Q. Solving the Rydberg equation for energy change gives ΔE = R∞hc [1/n12 - 1/n22] where the Rydberg constant R∞ for hydrogen-like atoms is 1.097 x 107 ...

Solved • Thu Dec 14 2017 13:52:53 GMT-0500 (EST)

Bohr and Balmer Equations

#### Q. Consider a hydrogen atom in the ground state. What is the energy (in J) of its electron?     Now consider an excited-state hydrogen atom. What is the ...

Solved • Tue Sep 26 2017 10:19:41 GMT-0400 (EDT)