Problems for Laplace Transform
Laplace Transform
Fundamentals
Fundamentals
1. Example of the definition of Laplace transform Solve following integral using Laplace transform. (A)
0
e 3t sin 2tdt
(B)
Exercise 15.1
Subject: Estimation of adsorbent characteristics.
Given: Porous particles of activated alumina. BET area = 310 m2/g = Sg. Particle porosity = 0.48 = p. Particle density = 1.30 g/cm3 = p.
Exercise 4.1
Subject: Degrees of freedom analysis for a three-phase equilibrium stage. Given: Equilibrium stage of Figure 4.35, with two feeds (one vapor, one liquid), vapor entering from stage below,
Exercise 6.1
Subject: Given: Simultaneous absorption and stripping. Fig. 6.1 in which simultaneous absorption and stripping occur.
Find: Whether absorption and stripping is more important. Stripping o
Chapter #2 Limits and Continuity
2.1 Rates of Change and Limits
Definition:
The average rate of change of the function y=f x over the interval [x 1 , x 2 ] is
y f x 2f x 1
=
x
x 2x 1
Examples:
Find t
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Labs for Chem 101 students start this week!
Ionic configurations
Archie cartoon
Main group metal ions
Tend to lose e to attain
noble gas configuration
Main group nonmetal ions Tend to gain e to at
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2
Ionization energy (IE)
The Argyle Sweater by Scott Hilburn
Energy required to remove an e from a gaseous
atom or ion.
X (g) X+ (g) + e
1st IE
2nd IE
Read
Review
Stoichiometry chapter 3
Practice
PS
Mini Study Groups (MSGs)
MSGs for many intro. science courses (e.g.
BIOL 107, PSYCO 104, EAS 100, MATH 113,
ENGL 12X,) AND 2nd year courses
Groups of 5-10 students who meet for 1 hour each
week to di
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Speed Bump by Dave Coverly
Unit 2 Bonding
Compounds types of bonding and nomenclature
See handout 2
Bond energies
Electronegativity, bond polarity
Lewis dot structures
Resonance
VSEPR model
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2
If it seems that I am ignoring you in the hallways and
Lab room assignments will be posted Thursday or
corridors, I apologize. It will take me time to recognize
Friday on the lab website:
your fac
The failure of Newtons classical mechanics
Bizarro by Dan Piraro
Read
textbook sections 7.4, 8.1
PS # 2
can solve questions 14.
1st online lecture is next week (likely W 2pm F 6am).
More details in t
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2
Electron configuration in atoms
Goal 2 predict e configuration for different atoms.
Goal 1 describe arrangement of e's in an atom.
Need the order of filling of sublevels.
Most times, a sublevel i
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Bonding in metals
Some typical metal properties.
Fig 9.2c
Metal atoms in a sample
pool their valence
electrons into a sea of
electrons that flows
between and around each
metal core, thus attractin
Speed Bump by Dave Coverly
Read
textbook sections 7.3, 7.4
Reading assignment is to read once, figure out what you
know and what you dont so that you can concentrate
on the latter when concepts are co
The Nestlings by Warren Clements
Read sections 7.1, 7.2
Practice
work on PS #1
Frequently Asked Questions
1. Should I bring the textbook to class? No!
2. Can I record the lecture?
You need to get my w
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2
Ba crystallizes in a bcc structure and has a density of
Last time
3.62 g cm3. What is the radius of a barium atom?
mass
Density = volume
3
range 1 50 g cm
bcc
or
=
4
r
3
fcc
3
3
r= 4
2
r= 4
or
=
1
2
Stoichiometry review
Bizarro by Dan Piraro
Empirical formula
1. Which atoms
2. What ratio
Ex:
Hydrogen peroxide
Empirical formula: HO
Hydrogen and oxygen atoms in 1:1 ratio
Review
nomenclature (ha
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2
Learn how to correctly count valence electrons !
Pearls Before Swine by Stephan Pastis
Read
Section 10.2
Im not in this Thursday for the entire day (dental
surgery and recovery).
Online quiz (Lewi
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2
Rules for writing Lewis Dot structures (LDS)
The various Nobel Prizes are being awarded this week.
Pearls Before Swine by Stephan Pastis
1. Count the number of valence electrons
NVE = last digit o
Chapter #1 Functions
1.1 Functions and Their Graphs
Definition:
A function f from a set X to a set Y is a rule that assigns a single value f xY
to each x X .
In this case, X is called the domain of f
Chapter #0 Preliminaries
0.1 (Appendix A in text) Numbers, Inequalities and Absolute Value
Definition:
The real numbers are numbers that can be expressed as
decimals.
Eg:
The real numbers can represen
WORKSHEET #
Course/ Section:
Instructor:
LAST NAME:
FIRST NAME:
(Please, print!)
Due date:
Instructions
1. Write your ID number on each INSIDE page of your assignment.
2. Do NOT write your ID number o
If you are feeling stressed or
overwhelmed, you are not alone.
At the Peer Support Centre, were
here to listen. No issue is too big or
too small
To talk with one of our highly trained student voluntee
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2
Last time
Bizarro By Dan Piraro
Unit cell
Particles
Coordination #
Simple cubit
1
6
Bcc
2
8
Fcc
4
12
Shared particles
Corner
Face
Read
1
contribution is 8 particle per corner
1
contribution is 2 p
1
2
Li2
Last time we sketched the He2 MO energy diagram
Bizarro By Dan Piraro
*
s
2sA
2sB
s
E
*
s
1sA
1sB
s
Read
Sections 5.1 5.4
Li2
Practice
PS #4
BO
can solve all questions
stable (in theory)
42
20
Dilbert by Scott Adams
Read
Section
11.2, 11.3 up to and including p. 411
Ignore
p. 4123 (6th ed) or 42930 (5th ed)
Practice
PS 4. You can solve Q15
VSEPR quiz (for marks)
Thursday, Oct 16, 8am Thursd
Speed Bump by Dave Coverly
Practice
PS #5
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RT
RT
Ptotal = nA V + nB V + = PA + PB +
Gas mixtures: Daltons law of partial pressures
Consider the molecular properties of a gas:
PA, PB, , are the par
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Christmas is around the corner
Last time
Well, about 2 months away.
MO energy diagrams
# MO = # AO
Bizarro by Dan Piraro
# bonding MO = # antibonding MO
One energy level
Two degenerate energy leve
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2
Remember last time we went through
wavefunctions and a string guitar
Bizarro by Dan Piraro
Lab room assignments will be posted Thursday or
Friday on the lab website:
http:/www.chem.ualberta.ca/~ng
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2
Enjoy the Thanksgiving long weekend!
Online quiz (Lewis structures)
Wed, Oct 8, 5pm Sun, Oct 12, 5pm
Bizarro by Dan Piraro
1 attempt, 40 minutes
Next Online lecture (VSEPR theory)
Videos and asses