Problem Set 1
1: Calculus
For the function f (x) = Aekx nd:
(a) df (x)/dx
(b)
(c)
(d)
f (x) dx
2
0 f (x) dx where
0 f (x) dx
A = 5 and k = 2
2: Dierential equation I
(a) Solve the dierential equation f (x) = 2f (x) for f (x). [Note: this is a rst
order di
Homework 2 Answer Key
Exercise 1
Write an algorithm for this table that computes the win-loss record for the Longhorns in any
year. (5 points)
Input: Win/Loss record in the form of Name1,Name2,Name14, Texas1,Texas2,
PreparationofNaOHStandardSolutionandDeterminationofAspirinContent
1. Whatisthepurposeofthislab?ToprepareaKHPprimarystandardwithNaOH,and
todeterminetheaspirincontentofatablet
2. Define:
a. Buret:aglasstubewithmarksindicatingvolume
b. Titration:aformofvolum
2
Fundamentals of quantum mechanics
In the last section, we described the experimental motivations for a new type of physics
at the atomic scale; one that captures the observed wave-like properties of elementary
particles. Arguably the most intuitive unde
3
Bound States
The Schrdinger equation is a second order dierential equation because it contains the
o
second derivative of the wavefunction. For a second order equation, the solutions have
two degrees of freedom. In the case of a free particle, there are
Physical Chemistry II Course Notes
Graeme Henkelman
August 27, 2014
Course Overview
These notes contain an outline of the topics covered in the physical chemistry II course.
We will not cover all the material in the textbook, so here I will briey describe
6
Statistical Mechanics
Statistical mechanics is the study of how macroscopic properties can be derived in
terms of detailed microscopic properties. For chemists, statistical mechanics involves
understand the macroscopic laws of thermodynamics in terms of
Solubility product: example
BaSO4(s) S Ba2+ (aq) + 8042' (aq) KSp = 1.1 x 10'3
What is the maximum concentration of 832* and 8042 I can
dissolve in aqueous solution?
K6? : [BaujfjoulJ 3 :. x 1040
XlOXlOS M
, ~ _ 1 "SM
E8a2+3m _ [50L\ 3- Lu W Solubility pr
Weak base equilibrium problem
0.01 moles of Na+CH3COO' (Ka = 1.76 x10'5) is dissolved in
1.00 L of water. What is the pH?
CHBLOD" (Ht?) [5 HML Lmj bad: of an;
babic.
_- .k 6'"
i g \ >4?
0L5 cxec'sCd
\
13 Mixing a weak acid and its conjugate base
r? HA
1
4
Harmonic Oscillator
The harmonic potential is a good description for many interactions in chemistry, including chemical bonds. Low energy vibrational motion, for example, can be accurately
described as a harmonic oscillator.
4.1
Classical Harmonic Oscil
5
Rotational Motion
So far we have used quantum mechanics to describe translation and vibration. In this
nal section on quantum mechanics, we will consider rotational motion. Our strategy
will be to use the separation of variables technique to separate ro
10
Classical Partition Function
In a classical description, there are no discrete energy levels. This means that we can
not evaluate a partition function of the form
eEi ,
q=
(10.1)
i
but we can capture the essence of summing eE over all states by integra
Problem Set 5
1: Most probable distribution
This problem is basically what we derived in class. Work through it on your
own. Its an important result because it shows how the concept of temperature is
explained at the microscopic level. You can use the cla
Problem Set 3
1: A hard wall
A free quantum particle with kinetic energy Ek and mass m is incident from the
right (large x) onto a hard wall at x = a, and reects back to the right.
(a) In the region x > a, show that the free particle wave function is a so
Problem Set 4
1: Poker odds
In a game of poker, you are dealt ve cards. What is the probability of being
dealt:
(a) Three of a kind.
(b) A full house (three cards of one rank and two of another).
2: Binomial distribution
Consider ten ips of a coin. What i
HPLC Analysis of
Capsaicinoid Content in
Hot Sauce
Qin. Zhang*, William. Canaes, Birjis.
Mukardamwala
The University of Texas at Austin
ABSTRACT:
Concentration
of
caffeine
was
determined in unknown samples with Gas
Chromatography-Mass
Spectroscopy.
The
co
ProposalforDetectionofcannabinoidsby
GCMSinaHairSamplesPreviousUsedto
DetectOtherDrugsofAbuse
Project Summary:
This project is designed to analyze the same hair sample to detect several drugs. The
hypothesis of the project is that GC-MS can be used to con
CH 456 Analytical Chemistry
Experiment #3 : Potentiometric Determination of Fluoride In Solution
Qin Zhang*
Birjis
Luis
Introduction
In this experiment, the concentration of fluoride ion in Austin tap water, bottled canyon
water and mouthwash were determi
CH 456 Analytical Chemistry
Experiment #3 : Potentiometric Determination of Fluoride In Solution
Qin Zhang*
Birjis
Luis
Introduction
In this experiment, the concentration of fluoride ion in Austin tap water, bottled canyon
water and mouthwash were determi
Independent Project Pre-Proposal Form
What is your hypothesis?
The hypothesis of my project is that GC-MS can be used to confirm more than one drug of
abuse on the same hair sample. The abuse of drugs is always a problem in many countries. A
method that c