An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter 3.5, Problem 35P
To determine
The change in chemical potential when the number of oscillators and the units of energy change.
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Students have asked these similar questions
Problem 3: Chemical potential of an Einstein solid.
Consider an Einstein solid for which both N and q are much greater than 1. Think of each
ocillator as a separate “particle".
a) Show that the chemical potential is
H = -kT In (**e)
b) Discuss this result in the limits N » q and N « q, concentrating on the question of how
much S increases when another particle carrying no energy is added to the system. Does
the formula make intuitive sense?
Statistical Physics
This is the chemical potential of an ideal gas.
The second image is the answer to 4.20 problem. Please generate a solution for this problem (to validate the given answer). Thank you!
A particle moves in one dimension x under the influence of a potential V(x) as
sketched in the figure below. The shaded region corresponds to infinite V, i.e., the
particle is not allowed to penetrate there.
V(x)
a
b
a²Vo =
If there is an energy eigenvalue E = 0, then a and V, are related by
a²Vo =
(n + ² ) ² n²
2m
3-1
n²π²
2m
a²V₁ =
(n + ²) π ²
2m
-Vo
nπ²
0
a
X
Chapter 3 Solutions
An Introduction to Thermal Physics
Ch. 3.1 - Use Table 3.1 to compute the temperature of solid...Ch. 3.1 - Use the definition of temperature to prove the...Ch. 3.1 - Figure 3.3 shows graphs of entropy vs. energy for...Ch. 3.1 - Can a miserly system, with a concave-up...Ch. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - In solid carbon monoxide, each CO molecule has two...Ch. 3.2 - An ice cube (mass 30 g) at 0C is left sitting on...
Ch. 3.2 - In order to take a nice warm bath, you mix 50...Ch. 3.2 - Estimate the change in the entropy of the universe...Ch. 3.2 - When the sun is high in the sky, it delivers...Ch. 3.2 - Experimental measurements of the heat capacity of...Ch. 3.2 - Prob. 15PCh. 3.2 - A bit of computer memory is some physical object...Ch. 3.3 - Prob. 17PCh. 3.3 - Prob. 18PCh. 3.3 - Prob. 19PCh. 3.3 - Prob. 20PCh. 3.3 - Prob. 21PCh. 3.3 - Prob. 22PCh. 3.3 - Prob. 23PCh. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.4 - What partial-derivative relation can you derive...Ch. 3.4 - A liter of air, initially at room temperature and...Ch. 3.4 - Sketch a qualitatively accurate graph of the...Ch. 3.4 - As shown in Figure 1.14, the heat capacity of...Ch. 3.4 - Experimental measurements of heat capacities are...Ch. 3.4 - A cylinder contains one liter of air at room...Ch. 3.4 - Prob. 33PCh. 3.4 - Polymers, like rubber, are made of very long...Ch. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3.5 - Suppose you have a mixture of gases (such as air,...Ch. 3.6 - Prob. 39P
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