Chapter 6, Problem 81SCQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# A photon with a wavelength of 93.8 nm strikes a hydrogen atom, and light is emitted by the atom. How many emission lines would be observed? At what wavelengths? Explain briefly (see Figure 6.10).

Interpretation Introduction

Interpretation The total number of emission lines and its corresponding wavelength of an atom which emit light at 93.8nm have to be explained briefly.

Concept introduction:

• Electronic transitions that take place in excited H atom is,
1. a. Lyman series: electronic transitions take place to the n=1 level and it is in ultraviolet region.
1. b. Balmer series: electronic transitions take place from n>2 to the n=2 level and it is in visible region.
2. c. Ritz-Paschen series: electronic transitions take place from n>3 to the n=3 level and it is in infrared region.
3. d. Brackett series: electronic transitions take place from n>4 to the n=4 level.
4. e. Pfund series: electronic transitions take place from n>5 to the n=5 level
• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

Explanation

The photon has a wavelength of 93.8â€‰nm which implies that in this transition, the photons are emitted from nâ€‰=â€‰6.

Hence, the highest electronic state is nâ€‰=â€‰6 so the electronic transition from nâ€‰=â€‰6,5,4,3,â€‰2 is possible to each of the corresponding lower electronic states.

Therefore the total number of emission lines is 15, if only six quantum levels are considered. Each of the emission line of the photon corresponds to a different wavelength.

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• The wavelength of emission line corresponding to transition of photons from nâ€‰=â€‰6,5,4,3,â€‰2 to the nâ€‰=â€‰3 electronic states.

The wavelength of emission line corresponding to transition of photons from nâ€‰=â€‰6 to nâ€‰=â€‰3 level is at 1094â€‰nm. The wavelength of emission line corresponding to transition of photons from nâ€‰=â€‰5 to nâ€‰=â€‰3 level is at 1282â€‰nm. The wavelength of emission line corresponding to transition of photons from nâ€‰=â€‰4 to nâ€‰=â€‰3 level is at 1875â€‰nm.

• The wavelength of emission line corresponding to transition of photons from nâ€‰=â€‰6,5,4,3,â€‰2 to the nâ€‰=â€‰2 electronic states.

The wavelength of emission line corresponding to transition of photons from nâ€‰=â€‰6 to nâ€‰=â€‰2 level is at 410

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