CHEM 113C Physical Chemistry Spring 2008 Instructor Professor Mike Bowers Room: Chemistry 4249 Phone: (805) 893-2893 Email: [email protected] Office hours: MTWF 10-11 am or by appointment Teaching Assistants Scott Price Chemistry 4124 Email: spric
Chem. 113C Homework Assignment #1
Solutions
Problem 1
a) What is the possible number of microstates associated with tossing a coin N times and
having it come up H times heads and T times tails?
b) For a series of 1000 tosses, what is the total number of m
Chem. 113C Homework Assignment #3
Solutions
Problem 1
Prove that the probability distribution that maximizes the entropy for die rolls, subject
to the a constant value of the second moment 2 , is a Gaussian function.
Problem 2
Consider the following alter
Chem. 113C Homework Assignment #6
Due: Before class Friday, June 12, 2017
1. The escape velocity from the Earths surface is given by vE = (2gR)1/2 where g is
gravitational acceleration (9.80 m s2) and R is the radius of the Earth (6.37 106
m).
a) At what
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Chem. 113C
Exam #1
April 28, 2017
S. Buratto
Solutions
problem
score
1
Alex
2
Alex
3
Jeremy
4
Matt
5
Josh
6
Josh
Useful Constants
electron mass
proton mass
neutron mass
atomic mass unit
Planck's constant
Boltzmann constant
Avogadros number
Electron charge
Chem. 113C Homework Assignment #4
Due: Before class Friday, May 12, 2017
Problem 1
In this chapter, the assumption was made that the harmonic oscillator model is valid such
that anharmonicity can be neglected. However, anharmonicity can be included in the
Chem. 113C Homework Assignment #2
Due: Friday, April 21, 2017
Problem 1
Using the method discussed in class determine the characters of reducible representation
for the vibrational motion of CH2Cl2 (the C2V point group). Use this to determine the
infrared
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Chem. 113C Homework Assignment #2
Solutions
Problem 1
Using the method discussed in class determine the characters of reducible representation
for the vibrational motion of CH2Cl2 (the C2V point group). Use this to determine the
infrared active modes of C
Chem. 113C
Exam #1
April 25, 2014
S. Buratto
Solutions
problem
score
Jeremy
1
Jeremy
2
Josh
3
Max
4
Max
5
Josh
6
Useful Constants
electron mass
proton mass
neutron mass
atomic mass unit
Planck's constant
Boltzmann constant
Avogadros number
Electron charge
Chem. 113C Homework Assignment #5
Due: Before class Friday, May 19, 2017
Problem 1
Consider the rotational partition function of an ideal diatomic gas. Determine the value
of (denoted ) as a function of that has maximum occupation.
Problem 2
The average m
Physics 116C
1
Solutions to Homework Set #5
Fall 2011
Boas, p. 632, problem 13.3-2
A bar 10 cm long with insulated sides is initially at 100o . Starting at t = 0, the ends are held at 0o . Find
the temperature distribution in the bar at time t.
The heat o
CHEM 113C Homework Assignment 1
Due Friday April 10
Late homework will not be accepted.
!
1. The H! ion can have two possible geometries:
a) rectangular with two short H-H bonds and two larger H-H bo
1
Weighting
6
N!
W =
Rotational Partitioned Function
(1)
EJ = hcBJ(J + 1)
(9)
gJ = 2J + 1
Ni !
(10)
i
Where N = number of molecules, Ni =
number of molecules in state i, and n =
number of states
2
Molecular Partitioned Function
e
q=
J
Which in the high te
1
Weighting
6
N!
W =
Rotational Partitioned Function
(1)
EJ = hcBJ(J + 1)
(9)
gJ = 2J + 1
Ni !
(10)
i
Where N = number of molecules, Ni =
number of molecules in state i, and n =
number of states
2
Molecular Partitioned Function
e
q=
J
Which in the high te
CHEM 113C Homework Assignment 2
Due Friday April 17, 2015
Late homework will not be accepted.
1. For diatomic molecules rotational transitions are typically 1 ! , vibrational transitions
are 1000 ! , and ele
Homework Assignment 3
Due Friday, May 1, 2015
1. Lets play some poker with a standard deck (i.e. 52 cards in four 13 card suits).
a) If we are playing 5-card draw, how many possible 5
Homework Assignment 4
Due May 8, 2015
1. !"O !"C !"S is linear and has a rotational constant of 0.203! . This molecule was captured
in a very cold helium droplet and it was found that the = 0 to =
Chem. 113C Homework Assignment #4
Solutions
Problem 1
In this chapter, the assumption was made that the harmonic oscillator model is valid such
that anharmonicity can be neglected. However, anharmonicity can be included in the
expression for vibrational e
763312A QUANTUM MECHANICS I - Solution set 1 - Autumn 2014
a) Show that
1 i
e + ei
2
1 i
e ei .
sin =
2i
cos =
(1.1)
(1.2)
b) Use the Eulers formula and express sin(3) and cos(3) in terms of sin()
and cos().
Solution
a) From Eulers formula,
ei = cos + i s
Chem 113C Homework #1
Solutions
1. The far infrared spectrum of 39K35Cl has an intense line at 278.0 1. Calculate the force
constant and the period of vibration of 39K35Cl.
The reduced mass of 39K35Cl is
=
Use the equation
(38.964)(34.969)
= 18.429
(38.
Chem. 113C
Exam #1
April 28, 2017
S. Buratto
Solutions
problem
1
2
3
4
5
6
score
Useful Constants
electron mass
proton mass
neutron mass
atomic mass unit
Planck's constant
Boltzmann constant
Avogadros number
Electron charge
Speed of light
Universal gas co
Chem. 113C Homework Assignment #3
Due: Before class Friday, May 5, 2017
Problem 1
Prove that the probability distribution that maximizes the entropy for die rolls, subject
to the a constant value of the second moment 2 , is a Gaussian function.
Problem 2
Chem 113C Homework #1
Due: Fri. 4/14/17
1. The far infrared spectrum of 39K35Cl has an intense line at 278.0 1. Calculate the force
constant and the period of vibration of 39K35Cl.
2. Show that the condition
2 2
() 2 2
=0
() 0.
leads to the selection