Lecture 6
1. HW2 is due today at 5PM. Drop off in my
physics mailbox.
2. Reading: Chapter 2 about the number of
microstates and entropy.
1st Law of Thermodynamics:
Internal energy, a function of the state
variables, can be changed by doing work,
DW, on th
Lecture 16
1. HW5 will be due Wed. Oct. 7 at 5PM
2. Start reading Chapter 4.
Exam 1: Excellent job overall
60/70 average +/- 8
Einstein Solid:
N harmonic oscillators that share q units of energy.
(q, N) is the number of microstates available in a
macrosta
Lecture 12
1. HW4 due today at 5PM.
2. Quiz 1 will be in-class next week, Wed.
Sept. 30. HW1-4, Chaps 1 and 3 with a
bit of Chap 2.
3. No homework for next week. Office hours
as usual on Mon. and Tues. 1-3PM
Combined U(T,V,N) and S(T,V,N):
With two functi
Lecture 13
1. Quiz 1 will be in-class next week, Wed.
Sept. 30. HW1-4, Chaps 1 and 3 with a
bit of Chap 2.
2. No homework for next week. Office hours
as usual on Mon. and Tues. 1-3PM
The Recipe:
Solve the quantum mechanical problem to determine
the energy
Lecture 14
1. Quiz 1 will be in-class next week, Wed.
Sept. 30. HW1-4, Chaps 1 and 3 with a
bit of Chap 2.
2. No homework for next week. Office hours
as usual on Mon. and Tues. 1-3PM
2-State systems:
N-particles that can be in one of two states (spin
par
Lecture 20
1. HW6 due at Wed. Oct 14 at the usual
5PM
2. No office hours today 1-3P. Still available
Tuesday and by appointment.
3. You should be reading Chapter 4.
1
Two systems (A and B) have entropies as shown below as a
function of the energy in syste
Physics 4230
Problem Set 2 Solutions
Spring 2017
Reading:
Start reading Schroeder, Chapter 2.
Comments about HWK 2
The behavior of real materials and real systems of gases, liquids, and solids was the
motivation behind the development of thermodynamics in
Physics 4230
Problem Set 4 Solutions
Due Feb. 15, 2017
Comments on HWK 4
At this point in the course, you have the most important parts of classical
thermodynamics under control, namely, that there are two important functions of state,
the internal energy
Physics 4230
Problem Set 4
Spring 2017
Problems:
This week is all about looking at the behavior of model systems. Our goal is to calculate
approximate entropy functions to see how they behave.
Just a quick point of language that will be important as you w
Physics 4230
Problem Set 3 Solutions
Spring 2017
Reading:
Schroeder, Chapter 2. Read it again.
Comments on HWK3
We are continuing the process of learning about internal energy and entropy from
experimental data. How interesting that you can learn about th
Physics 4230
HWK 1 Solutions
Spring 2017
Comments about HWK 1
Welcome to Physics 4230 and your first homework set!
Typically, Ill try to start the HWK sets with some general comments to give you a few
pointers about where were trying to go with the variou
Lecture 19
1. HW6 online soon, due at Wed. Oct 15 at
the usual 5PM
2. You should be reading Chapter 4.
1.
Two large Einstein solids, A and B, are both in the
high q limit, and are brought into thermal contact.
.
The system multiplicity is then:
A)
B)
e
2
Lecture 18
1. HW5 due at 5PM
2. You should be reading Chapter 4.
1.
Think about the integrand:
for positive x.
n x
xe
A) The integrand blows up for large x
B) It blows up for small x
C) It is zero for a special x (not at zero).
D) It has a peak at some fi
Lecture 7
1. Keep Reading: Chapter 2 about the number
of microstates and entropy. Start Chapter 3.
Special paths can be fun:
Special paths in PVT systems allow you
to calculate, DW, and/or DQ, and find
DU=DW+DQ
Isochoric: Constant V, DW = 0
Isobaric: Cons
Lecture 8
1. HW3 is due Wed. at 5PM
2. Start reading Chapter 3.
Ideal Gas Cycle:
We connected four points by a combo of
two adiabats (1, 3) and two isotherms (3,4)
3
Nk B TB TA
2
Q1 0
3
W3 Nk B TD TC
2
Q3 0
W1
Isotherms
A
P
4
1
D
2
VB
C
i
VD VC
Q2 Nk B
Lecture 9
1. HW3 is due today at 5PM
2. Office hours are Mon. and Tues. from 1-3PM.
Ill be in my office, F-631, or will leave a note
(usually look in E2B28 or G223).
Ideal Gas Cycle:
We connected four points by a combo of
two adiabats (1, 3) and two isoth
Lecture 5
1. Start reading Chapter 2 about the number of
microstates and entropy.
2. HW2 is posted on the website. Due next
Wed. at 5PM. Drop off in my physics mailbox.
3. No lecture on Monday (Labor Day).
0th Law of Thermodynamics:
Two objects found inde
Lecture 4
1. HW1 is due today at 5PM. Drop off in my
physics mailbox.
2. Questions about HW or reading?
A gas expands according to the phase diagram
below. Is W (the work done on the gas by its
environment)
A. Positive
B. Negative
C. Zero
D. Impossible to
Physics4230Fall2009
Thermodynamics and Statistical Mechanics
Instructor: Chuck Rogers
Website: http:/www.colorado.edu/physics/phys4230
Read the syllabus.
Any Questions?
Ihaveaclickerandbroughtitwith
metoclass.
A) True
B) False
This is the correct
answerfo
Physics4230Fall2009
Thermodynamics and Statistical Mechanics
Instructor: Chuck Rogers
Website: http:/www.colorado.edu/physics/phys4230
Any Questions about the course?
Howdoesaquantumsystemchoose
itsquantumnumbers?
A) SpecifyingtheinitialU,N,V,andperhaps
s
Lecture 3
1. Reading: Chapter 1 on Work and Heat.
2. HW1 is due Wed. at 5PM. Drop off in my
physics mailbox.
Heros: Ludwig Von
Boltzmann
Austrian physicist and
inventor of the connection
between microstates and
Entropy.
Enough said.
Gas 1
Gas 2
Glass wall
Lecture 10
1. Office hours are Mon. and Tues. from 1-3PM.
Ill be in my office, F-631, or will leave a note
(usually look in E2B28 or G223).
Entropy:
A function of state variables. The entropy
can be measured by adding the dQ/T along
reversible paths:
B
S
Lecture 11
1. Office hours are Mon. and Tues. from 1-3PM.
Ill be in my office, F-631, or will leave a note
(usually look in E2B28 or G223).
2. HW4 online and due Wed. 9/23 at 5PM.
Combined U(T,V,N) and S(T,V,N):
With two functions of state, we can
combine
Lecture 17
1. HW5 due Wed. Oct. 7 at 5PM
2. Start reading Chapter 4.
1.
Two Einstein solids, A and B, are in thermal contact.
NA = NB = 10. qtot = qA + qB = 20.
How many macrostates are there for solid A?
A) 21
B) 20 C) 2020
D)20!/10!
E) 1
2.
Two Einstein
Physics 4230
Problem Set 6 Solutions
Due March 1, 2017
Comments on HWK 6 Problems:
This week is all about looking at the behavior of model systems. Our goal is to calculate
approximate entropy functions to see how they behave. Sometimes, you understand th