Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Question
Chapter 37, Problem 14P
To determine
The quantum number and spacing between adjacent energy level.
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Students have asked these similar questions
Solid metals can be modeled as a set of uncoupled harmonic oscillators of the same
frequency with energy levels given by
En = ħwn
n = 0, 1, 2,...
where the zero-point energy (the lowest energy state) of each oscillator has been adjusted
to zero for simplicity. In this model, the harmonic oscillators represent the motions of the
metal atoms relative to one another. The frequency of these oscillators is low so that
ħw
= = 224
KB
and the system vibrational partition function is given by
3N
Z
² = la₁ -
(1
1
e-0/T).
(a) If the system contains one mole of atoms, find the average energy (in J) of this system at
T= 172 K. (You can use =
BkB.)
T
(b) What is the absolute entropy (in J/K) for this system? You can use either the Gibbs
expression for S, or the system partition function to make this evaluation (they are
equivalent, as your reading assignment indicates).
(2nx
sin
\1.50.
2nz
Consider the case of a 3-dimensional particle-in-a-box. Given: 4 =
sin(ny) sin
2.00.
What is the energy of the system?
O 6h?/8m
O 4h²/8m
O 3h2/8m
O none are correct
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Chapter 37 Solutions
Physics for Scientists and Engineers
Ch. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10P
Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43P
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