PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 1
Problem 1
due Thursday, 29 January 2015, in class
(6 Points)
Thermal expansion
a) A glass window pane is exactly 20 cm by 30 cm at 10o C. By how much has its area increased
when its temperature is 40o
12/31/2014
Ethical Guidelines
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Ethical Guidelines for Statistical Practice
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document to express our views on co-authorship.
Co-authorship is not required for LISA collaboration projects;
however, if collaborators perform the work of a co-author,
About ASA (/about/index.cfm) > Ethical Guidelines
Ethical Guidelines for Statistical Practice
Prepared by the Committee on Professional Ethics (/committees/commdetails.cfm?txtComm=CCNPRO03)
Approved by the Board of Directors, August 7, 1999
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PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 2
Problem 1
due Thursday, 5 February 2015, in class
(5 Points)
Alea iacta est
You are rolling three fair dice. What is the probability
a) not to throw a 4?
b) to throw at least one 4?
c) to throw exactl
PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 7
Problem 1
due Thursday, 2 April 2015, in class
(8 Points)
Generalized grand-canonical potential
a) Compute the rst and the second derivatives of the potential
exp (E N + pV )
K(T, p, ) = kB T ln
all m
PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 11
Problem 1
due Thursday, 30 April 2015, in class
Fermi-Dirac distribution function
(8 Points)
The FermiDirac distribution function (average level occupation number for fermions)
reads
1
.
f () n() = (
PHYSICS 3704 THERMAL PHYSICS
Problem set 8
Problem 1
Spring 2015
due Thursday, 9 April 2015, in class
Grand canonical partition function for the ideal gas
(10 Points)
a) Evaluate the grand-canonical partition function Z(T, V, ) for the classical nonrelati
PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 10
Problem 1
due Thursday, 23 April 2015, in class
The critical point of a van der Waals gas
(8 Points)
A van der Waals gas is described by the equation of state
p(T, v) =
kB T
a
2 ,
vb v
where v = V /
PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 9
Problem 1
due Thursday, 16 April 2015, in class
(8 Points)
A cycle process
An ideal gas undergoes the following reversible cycle where the process 2 3 is isentropic.
pressure
p
p
2
3
1
V
V
volume
a) D
PHYSICS 3704 THERMAL PHYSICS
Problem set 5
Spring 2015
due Thursday, 5 March 2015, in class
Problem 1 Classical harmonic oscillators II
(10 Points)
5
In Problem 3 of Problem Set 4 we derived the following expression for the entropy at xed
total energy E f
PHYSICS 3704 THERMAL PHYSICS
Problem set 3
Problem 1
Spring 2015
due Thursday, 12 February 2015, in class
(10 Points)
Poisson distribution
Consider N (non-interacting) particles in a closed container of volume V . Now let the
box be divided into two compa
PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 6
Problem 1
due Thursday, 19 March 2015, in class
(12 Points)
Maxwell-Boltzmann distribution
a) For the Maxwell-Boltzmann distribution in d = 3 dimensions
P (v)dv = 4
m
2kB T
3/2
v 2 exp
mv 2
2kB T
dv
PHYSICS 3704 THERMAL PHYSICS
Spring 2015
Problem set 4
Problem 1
due Thursday, 26 February 2015, in class
(8 Points)
Particles in a box
We consider a system of N non-interacting distinguishable particles in the same ddimensional box with volume Ld and per