Statistical Mechanics 2007
Model Solutions for First Exam
1. Heat capacity
The Sackur-Tetrode formula is
3
2
S(E, V, N ) = kB N
4mEV 2/3
3h2 N 5/3
0
ln
+
5
2
.
(1)
3
Use E = 2 N kB T to write
S(T, V, N ) = kB N
3
2
2mkB T V 2/3
h2 N 5/3
0
ln
then nd
S
T
C
Physics 410
file "hw-03.doc"
Assignment #3
The Canonical Ensemble (Boltzmann Factor)
Fall 2013
September 20, 2013
Assignment #3
PHYS-410
Fall 2013
Mr. Scofield
Announcements
1. Your solutions to this HW assignment are due on Friday, September 27.
Reading
Physics 410
file "hw-02"
Assignment #2
Introduction to Quantum Stat. Mech.
Fall 2013
September 13, 2013
Assignment #2
PHYS-410
Fall 2013
Mr. Scofield
Announcements
1. The solutions to your first homework assignment have been distributed in class.
Reading
Physics 410
file "hw-01"
Assignment #1
Classical Thermodynamics
Fall 2013
September 3, 2013
Assignment #1
PHYS-410
Fall 2013
Mr. Scofield
Announcements
1. Please fill out and return to me the student information sheet. I need this at the end of our
first
Physics 410
file "hw-06"
Assignment #6
Fall 2013
October 21, 2013
Assignment #6
PHYS-410
Fall 2013
Mr. Scofield
Announcements
Reading
this next week you will stay in Chapter 5. Review Sections 1-3. Skim through the rest of
the chapter, reading portions th
Physics 410
file "hw-08"
Assignment #8
Ideal Fermi Gas and Blackbody
Fall 2013
November 8, 2013
Assignment #8
PHYS-410
Fall 2013
Mr. Scofield
Announcements
Reading
Read the rest of Chapter 7, with particular emphasis on section 7.4 (blackbody radiation)
a
Physics 410
file "hw-07"
Assignment #7
Quantum Distribution Functions
Fall 2013
November 1, 2013
Assignment #7
PHYS-410
Fall 2013
Mr. Scofield
Announcements
Reading
Begin reading Chapter 7 of the textbook. In treating systems of N, indistinguishable
parti
PHYS-410
Statistical Mechanics
Fall 2013
Exam 2 Equation Sheet
Thermodynamic Potentials
Microcanonical Ensemble:
1
p
Enthalpy, H S , N , p U pV
dS dU dV dN
T
T
T
Helholtz Free Energy, F V , N , T U TS
S k B log
Gibbs Free Energy, G N , T , p F pV
log
Physics 410
file "hw-05"
Assignment #5
The Canonical Ensemble (Boltzmann Factor) II
Fall 2013
October 12, 2013
Assignment #5
PHYS-410
Fall 2013
Mr. Scofield
Announcements
Reading
If you have not already done so please read the notes I have posted online r
Phys-410
Mr. Scofield
Statistical Mechanics
Secon Exam Topic List
Fall 2013
P410 Second Exam Topic List
Maxwell-Boltzmann speed and velocity distributions
Mean speed, rms-speed, peak speed
Thermal deBroglie wavelength and its meaning
Free Energy (i.e. Hel
Phys-410
Mr. Scofield
Fall 2013
Statistical Mechanics
First Exam Topic List
P410 First Exam Topic List
Numerical values
Boltzmann constant
Mass of a proton, neutron, and electron
Basic properties of periodic table (H, He, C, N, O)
Avagadros number, Planck
Physics 410
file "hw-04"
Assignment #4
Applications of the Canonical Ensemble
Fall 2013
September 29, 2013
Assignment #4
PHYS-410
Fall 2013
Mr. Scofield
Reading
Topics this week (in Ch. 6) include density of states and Maxwell-Boltzmann
distribution. Plea