Chapter 6, Problem 18PS

### 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

# Consider only transitions involving the n = 1 through n = 4 energy levels for the hydrogen atom (see Figures 6.7 and 6.10). (a) How many emission lines are possible, considering only the four quantum levels? (b) Photons of the lowest energy are emitted in a transition from the level with n = ____to a level with n = ____ (c) The emission line having the shortest wavelength corresponds to a transition from the level with n = ____ to the level with n = _____

(a)

Interpretation Introduction

Interpretation The total number of emission lines, if only four quantum levels are considered has to be determined.

Concept introduction:

• Electronic transitions that take place in excited H atom is,

Lyman series: electronic transitions take place to the n=1 level and it is in ultraviolet region.

Balmer series: electronic transitions take place from n>2 to the n=2 level and it is in visible region.

Ritz-Paschen series: electronic transitions take place from n>3 to the n=3 level and it is in infrared region.

Brackett series: electronic transitions take place from n>4 to the n=4 level.

Pfund series: electronic transitions take place from n>5 to the n=5 level

Explanation

The highest electronic state is n=4 so the electronic transition from n=4,3,2 is possible to each of the corresponding lower electronic states.

43

(b)

Interpretation Introduction

Interpretation The transition of the photons emitted with lowest energy has to be identified.

Concept introduction:

• Electronic transitions that take place in excited H atom is,

Lyman series: electronic transitions take place to the n=1 level and it is in ultraviolet region.

Balmer series: electronic transitions take place from n>2 to the n=2 level and it is in visible region.

Ritz-Paschen series: electronic transitions take place from n>3 to the n=3 level and it is in infrared region.

Brackett series: electronic transitions take place from n>4 to the n=4 level.

Pfund series: electronic transitions take place from n>5 to the n=5 level

As the energy gap between two transition states increases the frequency of the radiation emitted also increases (E=hν)

(c)

Interpretation Introduction

Interpretation The transition of the photons emitted with lowest wavelength has to be identified.

Concept introduction:

• Electronic transitions that take place in excited H atom is,

Lyman series: electronic transitions take place to the n=1 level and it is in ultraviolet region.

Balmer series: electronic transitions take place from n>2 to the n=2 level and it is in visible region.

Ritz-Paschen series: electronic transitions take place from n>3 to the n=3 level and it is in infrared region.

Brackett series: electronic transitions take place from n>4 to the n=4 level.

Pfund series: electronic transitions take place from n>5 to the n=5 level

As the energy gap between two transition states increases the frequency of the radiation emitted also increases (E=hν)

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