Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 43, Problem 15SP
To determine
To show: The expression for the total energy of the orbiting electron according to
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(4) Electronic energy level of a hydrogen atom is given by
R
; п %3D 1,2, 3,...
n2
E = -
and R = 13.6 eV. Each energy level has degeneracy 2n2 (degeneracy is the number of equivalent
configurations associated with the energy level).
(a) Derive the partition function for a hydrogen atom at a constant temperature.
(b) Consider that the energy level of a hydrogen atom is approximated by a two level system,
n = 1,2. Estimate the mean energy at 300 K.
(4) Electronic energy level of a hydrogen atom is given by
R
E
; n =
n2
1, 2, 3,...
and R = 13.6 eV. Each energy level has degeneracy 2n² (degeneracy is the number of equivalent
configurations associated with the energy level).
(a) Calculate the partition function Z for a hydrogen atom at a constant temperature.
(b) Let us consider that the energy level of a hydrogen atom is approximated by a two level
system, n = 1,2. Estimate the mean energy at 300 K.
Find the ranges of wavelengths of the Lyman series (=R (-),
2,3,4, ....) and of the Balmer series (=R (-), n = 3,4,5, ....) in the
n =
emission spectrum of a 1 hydrogen atom. Do these ranges overlap?
Chapter 43 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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