CHE 301 - Physical Chemistry I - Fall 2010
homework1
Dust o your calc books and try to solve the following (read the Appendix of the
text book as well)
1) Find
df
dx
for the following by using the chain rule
(a) f = (x2 2)1
(b) f = ln x ex
2
(c) f = sin3
CHE 301 - Physical Chemistry I - Fall 2010
homework1
Dust o your calc books and try to solve the following (read the Appendix of the
text book as well)
1) Find
df
dx
for the following by using the chain rule, 1 point
= 2x(x2 2)2 , or, (x22x2)2
(a) f = (x2
CHE 301 Homework 3, due Sept. 18th
1. Complete the 5 on-line questions in Mastering Chemistry.
2. The rate constant for the decomposition of a certain substance is 3.80 10-3 dm3.mol-1.s-1 at 30
C and 5.4110-2 dm3.mol-1.s-1 at 80 C. Evaluate the Arrhenius
CHE 302 - Physical Chemistry II - Spring 2014
Angular Momentum and Rigid Rotor. Problems 7
1) Calculate the moment of inertia and the energy in the rst state above the ground
level for the following molecules, represented as rigid rotors.
(a) H2 , for whi
CHE 301 - Physical Chemistry I
Fall 2012 - Exam 1 - A
Problem 1
A sample of 3.00 moles of a perfect gas in an initial state of T1 = 300 K and p1 =
100.0 kPa undergo an isothermal compression to three times the original pressure in
two ways:
(a) reversibly
Physical Chemistry I
Homework 2
Note:
Assigned problems are from list-B of the textbook
Some problems are from the Numerical or Theoretical
problems which is proceed with P, such as P1.1
The numbering of the problems in 9th and 8th edition are
different,
CHE 301 - Physical Chemistry I - Fall 2013
homework 1, due Sept 6th
Dust o your calculus knowledge and try to solve the following (read the Appendix
of the text book as well)
1) Find
df
dx
for the following by using the chain rule
(a) f = (x2 2)1
(b) f =
Homework set 2. Due September 13th, 2013
E1.3(c) An automobile tire was inflated to a pressure of 30 lb in2
(1.00 atm = 14.7 lb in2) on a winters day when the temperature was 0F. What pressure
will be found, assuming no leaks have occurred and that the vo
CHE 301 - Physical Chemistry I - Fall 2012
homework1
Dust o your calc books and try to solve the following (read the Appendix of the
text book as well)
1) Find
df
dx
for the following by using the chain rule, 1 point
2x
= 2x(x2 2)2 , or, (x2)2
2
(a) f = (
CHE 302 - Physical Chemistry II - Spring 2014
Quantum Mechanics of Elementary Systems. Free Particle. Problems 4
1) Free particle in 1-dimension. In problem (2) of Transition Homework 3 we
saw that the functions
(x) = eikx
and
(x) = eikx ,
(1)
with the
CHE 302 - Physical Chemistry II - Spring 2014
Quantum Mechanics of Elementary Systems. Tunneling. Problems 5
1) Tunneling through a barrier. Consider a 1-dimensional system (x-axis) of a
particle moving in the +x direction under the potential energy funct
CHE 302 - Physical Chemistry II - Spring 2014
Quantum Mechanics of Elementary Systems. Problems 3
1) Consider a particle of mass m conned in an innite one-dimensional potential well
(particle in 1-dimensional box) of length L. Suppose that the system is i
CHE 302 - Physical Chemistry II - Spring 2014
Angular Momentum and Rigid Rotor. Problems 6
1) Free particle in 3-dimensions. In problem 1 of Transition Homework 4
we found that the kinetic energy operator K for a free particle of mass m moving in
three di
CHE 302 - Physical Chemistry II - Spring 2014
Problems 1
Postulates of Quantum Mechanics
1) Since a wavefunction (x) may be complex-valued, it may be represented in general
as (x) = 1 (x) + i2 (x), where both functions 1 (x) and 2 (x) are real-valued, and
CHE 302 - Physical Chemistry II - Spring 2014
Postulates of Quantum Mechanics. Problems 2
1) Let () and () be arbitrary functions of the angle which have the property
() = ( + 2 ) and () = ( + 2 ), since the angles and + 2 are physically
identical. Show