Chemistry 3491 - Exam 3, March 31, 2014
1.
(40 points) A particle of mass is confined in a potential given by () = + 2 where and
2
are positive constants. Use the variational method with a trial wave function () = where
is a normalization constant and i
Chemistry 3491 - Exam 1, February 10, 2014
1.
(15 points) Light of wavelength =400 nm is used to illuminate a block of metal and electrons are
ejected with a kinetic energy of 2.10 1019 J. (a) What is the work function of this metal? (b) What
is the longe
Homework Assignment 1 for Chemistry 3492 (Due on Sept. 5)
Read Chapter 17 and Mathchapters I and B
Non-graded problems: Mathchapter B problem 7; Mathchapter I problem 9; Chapter 17 problems:
11, 16, and 41.
Graded problems:
1. Chapter 17: 43. Suppose that
Chem 3491 Exam 1 Solutions
1. Consider a collection of identically prepared particle in a box systems with Vx 0 from
x 0 to x 1 and Vx elsewhere. Assume that these boxes can exchange energy
with the surroundings. Draw a rough qualitative sketch for the cu
1. The experiment tells us the probabilities of measuring the eigenstates E3 , E5 , E7 . Since all boxes have the same wavefunction and three different energy eigenvalues were measured we know that the wavefunction for these boxes prior to the act of
meas
Chemistry 3491 - Exam 2, March 10, 2014
1.
(20 points) Hydrogen fluoride (1H19F) has a force constant = 957
and a bond length of 0.917
. (a) Where is the
absorption for this molecule in wavenumbers? Assume hydrogen
fluoride acts as an ideal harmonic oscil
Lay—'5. bonsmar mt: Ulssummmu m. my.“le um uuzwj wwuuw VJ
N204(g :2 2N02(g)
Assuming then we start with no moleg 0f N204(g) and no N02{g), Show that the extent of reactign,
éeq, at equilibrium is given by
, gm M ( Kfp >1/2
i no w KP + 4P
Plot gag/no a
Chem 3491 Exam 1
Consider 200 particle in a box systems with zero potential energy between x 0 and x L
and infinite potential energy elsewhere. The wavefunctions of every one of these boxes is
identical. An experiment is performed to measure the energies
Chem 3491 Exam 1
1. Consider a collection of identically prepared particle in a box systems with Vx 0 from
x 0 to x 1 and Vx elsewhere. Assume that these boxes can exchange energy
with the surroundings. Draw a rough sketch for the curve that describes the
Chem 3491 Exam 1
Consider a particle in a box system with zero potential energy between x 0 and x L
and infinite potential energy elsewhere. The energy eigenvalues and eigenstates are given by
these two equations.
2 2
En n h 2
8mL
with eigenstates
n
2 si
Chemistry 3491 - Exam 4, April 28, 2014
1
( + ). Find the average value of 2
1.
(10 points) A general spin wave function is given by =
for this wave function.
2.
(20 points) (a) What is the term symbol for the ground state of the neutral fluorine atom, F
WWWWWMWWWW,wsszmmmwwmmwpmw a mmwmfmMawmkmwuwmmwﬁwwmwmywwumWrwmsyma
t‘wsmyianﬁ {2) EQEWSG'K} 76.8%? and
WWI: 2‘ is; Caisma mmpizmt‘am Aismlming Elm: m1mg:1:110methmm and Erich{Ox’mfhjy‘imm :fm‘m
an Maia} 301118021 itmtwmm 76.5-05.3 and 872°C at £3.11 m
22-4. The molar enthalpy of vaporization of benEene at its normal boiling point (80.09%) is
30.72 kl duel”, Assuming that Ami-i and AWE slay constant at; their values at 80.09%), calculate
the value of AWE at 750061 80.09%), and 850°C. Interpret these res
w
K
r a
i
“am.ch
We can use Equation 21.9 to write
T211271, ,
AS :3! ~-;—*~d[
T f
l
1000 K 0.05641
m nR/ [ "l‘
3
00K
T
0.04631 K"1 m (2.392 x 10-5 K”2)T
+(4.807 x 104’ K”‘3)T2]dT
= (23.l6R)(l mol) 3 192.6 1-K”:
_ Am F
A S a P
vap T
vap
to const
[‘00
W M 2 1/2 . .
kﬁmsmbarthat i e 0‘" dn : {151 ‘ Then“ for one dimenszom
. .10 «43
I ‘2
ZyrmknT\ ’
:2, p a
100
2 2 2 ,
gum/mafia :3 j, Eat/M H mm“ di’t m
‘ u h /
And for Wm dimensions,
00 2
2 272m] T
QWMW, T) :2: e~ﬂ11,12/8m(,2dn> m ( hzigyw) a2
" a 11
' 333mm fa Hui-#3 {am am) [$61334 pyagmsj
'1. (Sperm uncle? “aka Mgs?kgr;‘cgmn¢§€%;m
33g“: :2 g (Km : +0515 £30 Pa
W = -* 5% R3de = “9% New :-~e.oI-EZSND‘P%(3°"ZON-
\ﬁ .
b L g -
v: (.30 - 22¢) ’03 L ,
H
-~B
g
73'“
It."
.‘L—l‘bBlg‘KIDS Pa
' (a?) Cm agmbaf
gﬁﬁ m WEE: 0%?me mm w EVE Egg aw
@ . Amuﬁﬂ, «Waiéﬁﬁwv 3»? in $ka mﬁm
_ .w
gr .r . _ .
a £9 E H 1%. W n. . H E3 u .
36,; 4+ 3%me Eﬁmw mm A glﬁw Wmu
.vmwwmkm ﬁmmgwﬁw.» 3% M, w.” m6 memw» «wwwﬁﬁm‘w 3%.
cmwxﬁﬁm $5 wag. E». E mwwmwﬁm 95+ ammﬁ 5% wmgﬁ wmﬁﬁm ﬁ
Homework Assignment 5 for Chemistry 3492 (Due on Oct. 23)
Read Chapter 21
Non-graded problems: 3, 10, 16, 27, 32, 40, 42, 48 (in Chapter 21).
Graded problems:
1. Chapter 21: 25.
2. Calculate the standard molar entropy of H2O (g) at 298.15 K using
the stat