Pre-Lab 4
Name _
ID# _
Section_
Light: Color and Spectra Pre-lab
Hand in this pre-lab at the beginning of the Light and Spectra Lab.
Planets, stars and galaxies are so distant from the earth that we m
FINAL for ASTRO-81
Prof. Ghez
Closed notes, closed book, and no calculators are allowed
Answers need only be given to 1 significant figure for full credit
SHOW YOUR WORK FOR PARTIAL CREDIT
Name:
Stude
Astro 81 Discussion
Week 5
1. Reflection vs. Emission
Kuiper belt objects (KBOs) are detected by virtue of their reflected sunlight.
The reflected flux depends on the KBOs albedo or reflectivity. Many
Astro 81 Discussion
Solutions
Week 5
1. Reflection vs. Emission1
Kuiper belt objects (KBOs) are detected by virtue of their reflected sunlight.
The reflected flux depends on the KBOs albedo or reflect
Review Questions For Final
NOTE: Ive only included questions about the new material here. Know that the final will be
cumulative.
(1) Know the equations for the three timescales we talked about in cla
Week 4 Lectures
Spectral density
Astronomy 115: Statistical Mechanics
Prof. James Larkin
So we can now calculate the total amount of energy on average that is present in
photons of a frequency between
PHYS-4420 THERMODYNAMICS & STATISTICAL MECHANICS
FINAL EXAMINATION
SPRING 2005
Tuesday, May 10, 2005
NAME: _ANSWERS_
There are seven pages to this examination. Check to see that you have them all.
CRE
Astronomy 115: Statistical Mechanics
Week 3 Lectures
Entropy
Prof. James Larkin
So we found a microscopic explanation for entropy:
S = k ln( g)
T
Example
dU
U
or S =
at constant T
dS
T
Let's look at a
Astronomy 115 Midterm Review
Nate Ross
February 16, 2012
The midterm will cover the first four chapters of Schroeder and the beginning of the fifth
chapter. I have not seen a copy of the exam and so t
Week 1 Lectures
Introduction
Astronomy 115: Statistical Mechanics
Prof. James Larkin
Statistical Mechanics is the application of classical and quantum
mechanics to systems of many particles. We will n
Astronomy 115 - Problem Set 1
Due: Wed. Jan. 15, 2013 at the start of class
Solutions
1) (Reif 1.1) If you throw three dice, then whats the probability that the total of the
dice is 6 points or less?
Astronomy 115: Statistical Mechanics
Week 5 Lectures
Entropy changes
Prof. James Larkin
Remember the 2nd law of thermodynamics T dS = dQ. This tells us that the
change in entropy of a system is equal
Week 8 Lectures
Astronomy 115: Statistical Mechanics
Prof. James Larkin
Quantum densities
But as the density increases (that effectively makes L smaller) or as the
temperature decreases, we find that
Astronomy 115 - Problem Set 3
Solutions
Due: Wed. Feb. 6, 2013
1. Reif Chapter 4: 4.1
a) One kilogram of water at 0o is brought into contact with a large heat reservoir at
100o C. When the water has r
Astronomy 115 - Problem Set 2
Due: Wed. Jan 29, 2013 at the start of class
1. A box is separated by a partition which divides its volume in the ratio 3:1. the larger
portion of the box contains 1000 m
Astronomy 115 Sample Questions for Midterm
1) If a quantity x is a function of y and z, write dx in terms of y and z.
2) N particles of an ideal gas are held in a chamber of volume V. If we double the
Astronomy 115 - Problem Set 2
Solutions
Due: Wed. Jan 29, 2013 at the start of class
1. A box is separated by a partition which divides its volume in the ratio 3:1. the larger
portion of the box conta
Week 7 Lectures
Correct definition
Astronomy 115: Statistical Mechanics
Prof. James Larkin
Technically we can not exchange infinitesimal amounts of particles so the correct
definition of the chemical
Week 2 Lectures
Last week
Astronomy 115: Statistical Mechanics
Prof. James Larkin
What is the role of ? We have a common concept of what is equal
between two systems in thermal equilibrium. It is Temp
Astronomy 115 - Problem Set 5
Due: Wed. Feb. 26, 2013
1. Intergalactic space is believed to be occupied by hydrogen atoms in a
concentration of about 1 atom per cubic meter. The space is also occupied
Astronomy 115 - Problem Set 4
Solutions
Due: Wed. Feb. 12, 2013
1. If the Helmholtz free energy F is defined by: F = E - TS, derive one of the
Maxwell relations. Try first not to use your notes, but I
Astronomy 115 - Problem Set 3
Solutions
Due: Wed. Feb. 5, 2014
1. Reif Chapter 4: 4.1
a) One kilogram of water at 0o is brought into contact with a large heat reservoir at
100o C. When the water has r
Name:_
Grade:_
Astronomy 115 - Midterm
Useful Equations
ln(N!) N ln N N
S = k ln( g)
dQ = TdS
dQ = dE + PdV
F = T 4
V f
W = nRT ln
Vi
f
f
df = dx + dy
x y
y x
dQ
cV =
dT V
3
W = Nk(Ti T
Astronomy 115 Final Exam Review
Nate Ross
March 19, 2012
The final exam will cover whole of statistical mechanics and thermodynamics, as presented this quarter. My notes on Chapters 14 of Schroeder fr
Astronomy 115 - Problem Set 7
Due: Friday, March 14, 2014
1. In equilibrium at -2 C, the equilibrium pressure of vapor over ice is 3.88 mm of Hg
(convert this to Pascals). At 0 C, the equilibrium pres
Week 6 Lectures
FreeExpansion
Astronomy 115: Statistical Mechanics
Prof. James Larkin
First for an ideal gas.
Q=0
W=0
E=0
This says Ei=Ef or Ti=Tf
This is directly the result of the energy not dependi
Astronomy 115 - Problem Set 4
Due: Wed. Feb. 12, 2013
1. If the Helmholtz free energy F is defined by: F = E - TS, derive one of the
Maxwell relations. Try first not to use your notes, but I obviously
Astronomy 115 - Problem Set 3
Due: Wed. Feb. 5, 2014: start of class
1. Heat Capacity and Water
a) One kilogram of water at 0o is brought into contact with a large heat reservoir at
100o C. When the w
Astronomy 115 - Problem Set 6
Due: Wed. March 5, 2013
1. Consider a system consisting of two particles, each of which can be in any one of
three quantum states of respective energies 0, e and 3e. The