Exam I
CHEM 373
September 18, 2013
Name:
Your exam should contain 4 numbered pages with questions (including this page)
plus additional pages containing supplementary information.
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
+
1. (40 points) The dihydrogen c
Solutions to Homework Problems in UPC Chapter 8
October 17, 2014
1a) The energy is obtained from the formula
En =
hcRH
(6.63 1034 J s)(3.0 108 m/s)(1.0974 107 m1 )
=
n2
n2
En =
2.18 1018 J
n2
and
q
p
2 i = ~ l(l + 1)
hL
The results are summarized in th
Solutions to Homework Problems in UPC Chapter 7
October 17, 2014
19a) The energy of a particle in a 3D box is
Enx ,ny ,nz =
h2
(n2 + n2y + n2z )
8mL2 x
So any permutation of the numbers 1, 2, and 3 for nx , ny , and nz leads to the same value of the energ
Solutions to Homework Problems in UPC Chapter 7
February 17, 2014
14) We need to prove
[
a, a
] = 1
Let c = (2m~)1/2 , we know that:
a
= c(mx + i
p)
a
= c(mx i
p)
[
a, a
] = c[mx + i
p, a
]
= cm[x, a
] + ci[
p, a
]
= (cm)2 [x, x] c2 mi[x, p] + c2 m
Solutions to Homework Problems in UPC Chapter 7
February 22, 2016
x
x
Figure 1: Comparison between the two wave functions
9a) The wave function in the top describes a particle that can be located outside the walls,this green region is
forbidden in classic
Solutions to Homework Problems in UPC Chapter 7
September 26, 2015
1)
r
n (x) =
nx
2
sin
b
b
|n|2(x)
a)
0
0.2
0.4
0.6
0.8
1
x/b
Figure 1: Particle in a box probability density functions (p.d.f.); the curve at the bottom is the ground state
p.d.f. for n
Solutions to Homework 2
September 12, 2014
1) Complex Conjugates
a) (sin x)* = sin x
b) (sin x + i cos x)* = sin x - i cos x
c) (eix ) = eix
Integrals
R
p
2
a) 0 e2x dx = 12 2
R
2
b) x2 eax dx = 2a3/2
R
p
2
c) x2 e2x dx = 14 2
Rb
d) 0 sin2 (ax)dx = 2b sin
Solutions to Homework assignment 1
September 3, 2014
1a) Using the chain rule:
dK
1 d
dv(t)
= m (v(t)2 = mv(t)
dt
2 dt
dt
b) By the same method:
dK
1 d dZ
dZ dZ 2
= m ( )2 = m
dt
2 dt dt
dt d2 t
c)
d
sin(t) = cos(t)
dt
d)
d2
d
sin(t) = cos(t) = 2 sin(t)
d
CHM 373 Reading, Writing, and Homework Assignments
All homework and writing assignments must be turned in during class on the due date. Revised
writing assignment paragraphs must be turned in during class when the following homework
assignment is due, and
CHM 373 Reading, Writing, and Homework Assignments
All homework and writing assignments must be turned in during class on the due date. Revised
writing assignment paragraphs must be turned in during class when the following homework
assignment is due, and
Sugandha Saboo
PUID- 0028187814
CHM 373 Writing Assignment #1
Problem 1(d)
In order to understand how friction changes the kinetic energy (K), potential energy (V) and
total energy (E) of the baseball from the time it is hit by the batsman to the time it
CHM 373 - Fall 2015
Understanding Physical Chemistry
Prof. Dor Ben-Amotz
email: bendor@purdue.edu
phone: 45256
Text Book: Understanding Physical Chemistry, by D. Ben-Amotz
ISBN: 978-1-118-72449-1 (paperback)
ISBN : 978-1-118-71939-8 (E-text)
Available dir
CHEM 373
Final
Fall 2012
Name:_
This exam should have a total of 10 numbered pages
including the back three pages which contain reference material
(and you should also receive an extra blank page for scratch paper)
Professor Willard Gibbshas given us a re
CHEM 373
EXAM II
Fall 2012
Name:_
This exam should have a total of 5 numbered pages
including the last page which contains reference material
(and you should also receive an extra blank page for scratch paper)
1
1. (20 points) Consider a system with some
CHEM 373
EXAM III
Fall 2012
Name:_
This exam should have a total of 6 numbered pages
including the back page which contains reference material
(and you should also receive an extra blank page for scratch paper)
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
1)
Second Chance Exam III
CHEM 373
December 11, 2013
Name:
CRIB
Your exam should contain 2 numbered pages (including this page)
plus an additional page containing supplementary information.
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
1. Acetone (A) and methano
Exam II
CHEM 373
October 23, 2013
Name:
CRIB
Your exam should contain 5 numbered pages (including this page)
plus additional pages containing supplementary information.
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
1. (40 points) Consider a system consisting
Exam III
CHEM 373
November 20, 2013
Name:
CRIB
Your exam should contain 4 numbered pages (including this page)
plus an additional page containing supplementary information.
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
1. (40 points) Acetone (A) and methanol
Solutions to Homework Problems in UPC Chapter 8
November 4, 2014
8) We could use Eqs. 8.7 and 8.8 to obtain the appropriate expressions for the radial probability density,
Pnl (r), with a0 replaced by a0 /Z = a0 /3, and then integrate rPnl (r) from 0 to t