An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter 6.1, Problem 2P
To determine
Probability of finding an atom in any particular energy level.
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Students have asked these similar questions
The Hamiltonian for a free classical ideal gas of N atoms can be written as
H=p}+p%+…+px, where we have chosen units such that 2m = 1.
(a) Show that the phase-space volunie is r(E, V) = K, VNEa(vĒ), where Ko is
aconstant, and n= 3N.
(b) Calcuļate Eg, and obtain the entropy S(E, V). Verify that it agrees with the
result from thermodynanics.
Problem 1:
Consider a classical ideal gas in three dimensions, with N indistinguishable
atoms confined in a box of volume N³. Assume the atoms have zero spin
and neglect any internal degrees of freedom. Starting from the energy levels
of a single atom in a box, find:
(a) The Helmholtz free energy F'
Hint: ſ.
-ax²
d.x
e
Va
(b) The entropy o
(c) The pressure p
Consider a rigid lattice of distinguishable spin 1/2 atoms in a magnetic
field. The spins have two states, with energies -HọH and +µoH for spins up
(1) and down (4), respectively, relative to H. The system is at temperature
Т.
(a) Determine the canonical partition function z for this system.
(b) Determine the total magnetic moment M = µo(N+ – N-) of the
%3D
system.
(c) Determine the entropy of the system.
Chapter 6 Solutions
An Introduction to Thermal Physics
Ch. 6.1 - Prob. 2PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10PCh. 6.1 - Prob. 11PCh. 6.1 - Prob. 12P
Ch. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - For an O2 molecule the constant is approximately...Ch. 6.2 - The analysis of this section applies also to...Ch. 6.3 - Prob. 31PCh. 6.4 - Calculate the most probable speed, average speed,...Ch. 6.4 - Prob. 35PCh. 6.4 - Prob. 36PCh. 6.4 - Prob. 37PCh. 6.4 - Prob. 39PCh. 6.4 - Prob. 40PCh. 6.5 - Prob. 42PCh. 6.5 - Some advanced textbooks define entropy by the...Ch. 6.6 - Prob. 44PCh. 6.7 - Prob. 45PCh. 6.7 - Equations 6.92 and 6.93 for the entropy and...Ch. 6.7 - Prob. 47PCh. 6.7 - For a diatomic gas near room temperature, the...Ch. 6.7 - Prob. 49PCh. 6.7 - Prob. 50PCh. 6.7 - Prob. 51PCh. 6.7 - Prob. 52PCh. 6.7 - Prob. 53P
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