Chemistry Practice Problems Bohr and Balmer Equations Practice Problems Solution: What is the smallest wavelength in the Balmer's se...

# Solution: What is the smallest wavelength in the Balmer's series?

###### Problem

What is the smallest wavelength in the Balmer's series?

###### Solution

We can determine the smallest wavelength, λmin in the Balmer series using the Balmer Equation shown below:

$\overline{)\frac{1}{{\lambda }_{min}}{=}{R}{×}\left(\frac{1}{{{n}_{f}}^{2}}-\frac{1}{{{n}_{i}}^{2}}\right)}\phantom{\rule{0ex}{0ex}}$

where:

λmin  = wavelength, m at the highest initial principal energy level: ↑ni ↓λ

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

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

The smallest wavelength, λmin will be the minimum wavelength corresponding to the highest initial energy level, ni possible or approaching infinity,  (a symbol used to denote a super high number)  for a Hydrogen atom.

Recall that the highest transition releases the highest energy, E.

Energy, E is inversely proportional to the wavelength, λE, niλ

View Complete Written Solution

Bohr and Balmer Equations

Bohr and Balmer Equations

#### Q. 1/λ = R ((1/22)—(1/m2))R= 1.097*107 m-1If m=3, in what range are wavelengths calculated from the generalized formula shown above?a) microwave (1 to 10...

Solved • Thu Aug 29 2019 14:55:57 GMT-0400 (EDT)

Bohr and Balmer Equations

#### Q. 1/λ = R ((1/22)—(1/m2))If m=1, in what range are the wavelengths calculated from the generalized formula shown above?R= 1.097*107 m-1a) microwave (1 t...

Solved • Thu Aug 29 2019 14:54:55 GMT-0400 (EDT)

Bohr and Balmer Equations

#### Q. What is the smallest value of n for which the wavelength of a Balmer series line is smaller than 400 nm, which is the lower limit for wavelengths in t...

Solved • Thu Aug 29 2019 14:53:38 GMT-0400 (EDT)

Bohr and Balmer Equations

#### Q.  What is the largest wavelength in the Balmer series?

Solved • Thu Aug 29 2019 14:52:36 GMT-0400 (EDT)