PHYS 333
Winter 2009
Assignment 1
Due: 5:00 pm Friday January 9 This assignment is a review maybe? of some math ideas that we will need fairly frequently in the course. If the ideas are new to you, th
PHYS 333
Winter 2008
Assignment 10
1. Schroeder 7.16 A system of N (spinless) identical fermions has equally spaced energy levels which are all non-degenerate. (That is, each level holds only one ferm
PHYS 333
Winter 2009
Assignment 3
Due: 5:00 pm Friday January 23 Most of these problems are from Schroeders book.
1. Schroeder, problems 2.18/22/30 (a) Use Stirlings approximation to show that the mul
PHYS 333
Winter 2009
Assignment 3
Most of these problems are from Schroeders book.
1. (a) Use Stirlings approximation to show that the multiplicity of an Einstein solid, for any large values of N and
PHYS 333
Winter 2009
Assignment 9
1. Schroeder, 6.32, modied. Consider a classical particle moving in a one-dimensional potential well u(x), as shown in the gure. The particle is in thermal equilibriu
PHYS 333
Winter 2009
Assignment 2
Due: 5:00 pm Friday January 16 All of these problems are from Schroeders book.
1. Schroeder, problem 1.22 If you poke a hole in a container full of gas, the gas will
Signals
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We have identical particles each having a magnetic moment
having spin up and having spin down , so that
. There are two types of particles,
.
Internal chemical potentials for particles of type 1 and 2
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Chapter 2: Entropy and Tcmpemrure \
(c) How large is the fractio
nal error in the entropy when you ignore this
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approxtmately the probability that the fractionat deviation fro
MNl is 10 or l
6
Chapter 4: Thermal Radiation and Float-k Dinriizurion
greenhouse cect. Because the thermal ux varies as T the new temperature
ofthc surface ofthe Earth' :3
TEA; = were a- cfw_m 280 K m 333 K, (60)
s
PHYS 333
Winter 2009
Assignment 8
1. A question on Osmosis. For this problem you need two additions to the theory of osmosis found in the textbook (page 203) and discussed in class. They are that: the
PHYS 333
Winter 2008
Assignment 7
1. The Helmholtz function The Helmholtz function is dened as F = U TS Starting from this denition, prove the following identities F T F V = S
V ,N
(1)
= P
T ,N
(2)
Th
PHYS 333
Winter 2009
Assignment 5
Due: 5:00 pm Friday February 20 Most of these problems are from Schroeders book.
1. A question concerning the mathematics of the T dS equation. In class, and in the t
PHYS 333
Winter 2009
Assignment 6
Due: 5:00 pm Friday March 6 Most of these problems are from Schroeders book. Problems 2 and 3 use Tables 4.1, 4.2, 4.3 and 4.4 from the book: they are provided as a s
PHYS 333
Winter 2009
Assignment 7
Due: 5:00 pm Friday March 20 1. The Helmholtz function The Helmholtz function is dened as F = U TS Starting from this denition, prove the following identities F T F V
PHYS 333
Winter 2009
Assignment 8
Due: 5:00 pm Friday March 27
1. A question on Osmosis. For this problem you need two additions to the theory of osmosis found in the textbook (page 203) and discussed
PHYS 333
Winter 2009
Assignment 9
Due: 5:00 pm Friday April 3
1. Schroeder, 6.32, modied. Consider a classical particle moving in a one-dimensional potential well u(x), as shown in the gure. The parti
PHYS 333
Winter 2009
Assignment 10
Due: 5:00 pm Friday April 17
1. Schroeder 7.16 A system of N (spinless) identical fermions has equally spaced energy levels which are all non-degenerate. (That is, e
PHYS 333
Winter 2009
Assignment 1
1. In Chapter 1 of Schroeders book, he talks about raindrops falling on a roof. He uses this example to introduce the thermodynamic limit when uctuations are extremel
PHYS 333
Winter 2009
Assignment 2
All of these problems are from Schroeders book.
1. Schroeder, problem 1.22 If you poke a hole in a container full of gas, the gas will start leaking out. In this prob
PHYS 333
Winter 2009
Assignment 4
1. Entropy of Mixing. Calculate the increase in entropy when two dierent ideal gases diuse into each other. The two gases are originally in separate containers, but w
PHYS 333
Winter 2009
Assignment 5
1. A question concerning the mathematics of the T dS equation. In class, and in the textbook, we have seen the T dS equation: T dS = dU + P dV In many traditional tex
PHYS 333
Winter 2009
Assignment 6
Due: 5:00 pm Monday March 3rd Most of these problems are from Schroeders book. Problems 2 and 3 use Tables 4.1, 4.2, 4.3 and 4.4 from the book: they are provided as a
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Physics 111
Solution to Exam 2
Gary Morris
Cha