An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter 7.3, Problem 24P
To determine
The mass-radius relation of star, the radius of star; density of star, fermi energy; fermi temperature of one-solar-mass neutron star.
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Problem 2: Neutron star
A star that is too heavy to stabilize as a white dwarf can collapse further to form a
neutron star (made entirely out of neutrons, supported against gravitational collapse by
degeneracy pressure). Repeat the steps in Problem 3 to find
a) The radius of a one-solar mass neutron star.
b) The Fermi temperature.
Question 2
This question concerns electron degeneracy pressure inside white dwarfs.
a) With reference to the Fermi momentum, pF, explain what is meant by a completely degenerate electron gas. Show that the
number density of electrons in such a gas is
ne (p)dp=
Show that the total electron number density is given by
For full marks, explain all steps in your derivation.
ne
=
=
8πр²
dp
h.³
8π
3h3 pp.
2) An atomic nucleus can be crudely modeled as a gas of nucleons with a number density of
0.09 fm-3 (where 1 fm = 10-15m).
a)
Calculate the Fermi energy ɛp of this system.
b)
Also, calculate the Fermi temperature TF. Is it reasonable to treat the nucleus as a
degenerate Fermi gas at room temperature?
c)
Calculate the degeneracy pressure of the nucleus. What keeps the nucleus from
blowing apart due to this degeneracy pressure?
Chapter 7 Solutions
An Introduction to Thermal Physics
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13P
Ch. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 29PCh. 7.3 - Prob. 32PCh. 7.3 - Prob. 33PCh. 7.3 - Prob. 34PCh. 7.4 - Prob. 37PCh. 7.4 - Prob. 38PCh. 7.4 - Prob. 39PCh. 7.4 - Prob. 40PCh. 7.4 - Prob. 41PCh. 7.4 - Prob. 42PCh. 7.4 - Prob. 43PCh. 7.4 - Prob. 44PCh. 7.4 - Prob. 45PCh. 7.4 - Prob. 46PCh. 7.4 - Prob. 47PCh. 7.4 - Prob. 48PCh. 7.4 - Prob. 49PCh. 7.4 - Prob. 50PCh. 7.4 - Prob. 51PCh. 7.4 - Prob. 52PCh. 7.4 - Prob. 53PCh. 7.4 - Prob. 54PCh. 7.4 - Prob. 55PCh. 7.4 - Prob. 56PCh. 7.5 - Prob. 57PCh. 7.5 - Prob. 58PCh. 7.5 - Prob. 59PCh. 7.5 - Prob. 60PCh. 7.5 - The heat capacity of liquid 4He below 0.6 K is...Ch. 7.5 - Prob. 62PCh. 7.5 - Prob. 63PCh. 7.5 - Prob. 64PCh. 7.6 - Prob. 65PCh. 7.6 - Prob. 66PCh. 7.6 - Prob. 67PCh. 7.6 - Prob. 68PCh. 7.6 - If you have a computer system that can do...Ch. 7.6 - Prob. 70PCh. 7.6 - Prob. 71PCh. 7.6 - Prob. 72PCh. 7.6 - Prob. 73PCh. 7.6 - Prob. 75P
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