 # Calculate the wavelength of the Balmer line of the hydrogen spectrum in which the initial n quantum number is 5 and the final n quantum number is 2. ### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
Publisher: Cengage Learning
ISBN: 9781305580343 ### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
Publisher: Cengage Learning
ISBN: 9781305580343

#### Solutions

Chapter
Section
Chapter 7, Problem 7.79QP
Textbook Problem
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## Calculate the wavelength of the Balmer line of the hydrogen spectrum in which the initial n quantum number is 5 and the final n quantum number is 2.

Expert Solution
Interpretation Introduction

Interpretation:

The wavelength of emitted light when an electron from hydrogen atom transit from n=5ton=2 has to be calculated.

Concept introduction:

Bohr developed a rule for quantization of energy that could be applicable to the electron of an atom in motion.  By using this he derived a formula for energy levels of electron in H-atom.

E=-RHn2n=1,2,3,......(Forhydrogenatom)RHisRydbergconstant(2.179×10-18J).Eisenergylevel.nisprincipalquantumnumber.

Relation between frequency and wavelength is,

C=λν

C is the speed of light.

ν is the frequency.

λ is wavelength.

### Explanation of Solution

To calculate: The wavelength of emitted light when an electron from hydrogen atom transit from n=5ton=2 .

E=-RHn2

ΔE==E4-E1=-RH52--RH22=-RH25--RH4=21RH100

ν=21RH100h=21100×2

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