Abigail Rico
I was told that are hands were used in countless ways,
Ways that we cant explain for them to be the benefit of doubt,
But she spoke words that would melt her hands,
Those hands she shelled her face into,
Those hands that she played hide and s
Reducing Agents and Their Products
Reducing Agent LiAlH4, H2O NaBH4 DIBAH, -78C Raney Ni / H2 Zn(Hg) HCl N2H4, KOH, Heat Li(tButO)3AlH H2, 1000psi, Pt, Pd, Ni, Ru, or Rh B2H6, Diglyme H2/Pd/BaSO4/Quinoline C=C No Rxn No Rxn No Rxn C-C No Rxn No Rxn No Rxn
Rotational Ranking
Interaction Type Cl Cl CH3 CH3 CH3 Cl CH3 H HH Eclipsed/kcal Staggered/kcal 23.00 18.29 17.41 5.37 3.91 5.037 3.043 2.008 1.506 0.818
The energy of interaction increases with the increased size of the group. So an ethyl group will have
Comparing Three 20 mL Extractions to a Single 60 mL Extraction
You were given 3 Vivarin tablets that contain 200 mg of caffeine each. Therefore you have 0.600 grams of caffeine that you dissolved in 100 mL of water. The partition coefficient for aqueous c
LABORATORY MANUAL ORGANIC CHEMISTRY 240
FOURTH EDITION
Dr. Steven Fawl
LABORATORY MANUAL ORGANIC CHEMISTRY 240
FOURTH EDITION
Dr. Steven Fawl
Mathematics and Science Division Napa Valley College Napa, California
TABLE OF CONTENTS
Syllabus . . . . . . . .
Alkene Oxidations using KMnO4
Oxidative Cleavage using concentrated KMnO4
H+, H2O, Heat
O O Mn O O O O O Mn O O OH HO
O
+ M nO2(s)
Syn Diol Formation using dilute KMnO4 (1-4%)
NaOH, H2O
+ M nO2(s) HO OH
O Mn O
O O
O Mn O
O O
"Permanganate is a versatile o
Final Exam
Comprehensive Exam
Chem 240 Final Exam
Name_ December 18, 2000
CLOSED BOOK EXAM - No books or notes allowed. All work must be shown for full credit. You may use a calculator. Question 1(18 ) 2(10) 3(20) 4(12) 5(16) 6(9) TOTAL Credit Question 7(
Chem 240 - Final Exam Review
1. 2. 3. 4. 5. 6. Nomenclature Rotational Diagrams Newman Projections (see 6f) Boat/Chair Configurations Page of Death usually 12 of them Syntheses make two compounds from a selection of five Mechanisms a. Fisher Ester forward
EXPERIMENT ONE
COVALENT BONDING AND MOLECULAR MODELS Today you will use ball-and-stick molecular model kits to better understand covalent bonding. You will figure out the structures of several different covalent molecules and then use the models to make t
EXPERIMENT TWO
EXTRACTION OF CAFFEINE FROM VIVARIN Caffeine is an alkaloid found in tea, coffee, cola nuts, and several other plants. It is a mild stimulant and may be used medically for this purpose (for example, in Vivarin tablets). Structurally, caffei
EXPERIMENT THREE
Distillations Part One - Simple Distillations Discussion This experiment is a simple distillation of a mixture of cyclohexane and toluene. We will first describe the general steps used in any simple distillation, then mention some specifi
EXPERIMENT FOUR
Solvent Effects in an SN1 Solvolysis Reaction A Kinetics Study DISCUSSION In this experiment, you will not conduct a detailed quantitative kinetics study. Instead, you will determine the relative rates of the solvolysis of t-butyl chloride
EXPERIMENT SIX
Synthesis of 1-Bromobutane from 1-Butanol DISCUSSION The treatment of a primary alcohol with a hydrogen halide yields a primary alkyl halide. The reaction proceeds by an SN2 mechanism, and competing dehydration is minimal. The reaction requ
EXPERIMENT SEVEN
Williamson Ether Synthesis of Butyl Methyl Ether
DISCUSSION
A Williamson ether synthesis consists of two separate reactions: the preparation of an alkoxide, and the reaction of this reagent with the alkyl halide. Sodium methoxide is prepa
Math 113, Spring 2011
Professor Mariusz Wodzicki
Final Exam (Solutions)
May 11, 2011
1. Classify the group G = (Z Z)/(5, 6) according to the Fundamental Theorem of Theory of
Finitely Generated Abelian Groups.
Let : Z Z G be the quotient map and : (1, 1) Z
Math 113 Section 5
Fall 2010
Midterm #1 Solutions
Wednesday, September 22
1. Determine which of the following sets with 2-to-1 operations form groups. For those
that are groups, prove that they are groups. For those that are not groups, describe
why they
MATH 113 HW #6
KEVIN JORGENSEN
1) Prove the Third Isomorphism Theorem: Let G be a group and let H and K be normal
subgroups of G such that H is a subgroup of K . Then K/H is a normal subgroup of G/H
and (G/H )/(K/H ) is isomorphic to G/K .
Suppose H, K G
Math 113 Section 5
Fall 2010
Homework #2 Solutions
Due: Monday, September 13
1. Determine which of the following sets with 2-to-1 operations form groups. For those
that are groups, prove that they are groups. For those that are not groups, describe
why th
Math 113 Section 5
Fall 2010
Homework #1 Solutions
Due: Wednesday, September 8
1. Section 0.1, Exercise 5:
Determine whether the following functions f are well dened:
(a) f : Q Z dened by f ( a ) = a.
b
f is not well dened:
0
Let a0 be another representat
Abstract Algebra Maths 113
Alexander Paulin
December 8, 2010
Lecture 1
The basics:
e-mail: apaulin@math.berkeley.edu
My website: math.berkeley.edu/apaulin/
Im Scottish Math = Maths.
Oce hours: Monday 11am -12.30pm and Wednesday 11am - 12.30pm
Grading:
1 H
Introduction to Abstract Algebra
Homework 8
November 1, 2010
Problem 1
(a) R R R dened by r (r, 0) is a ring homomorphism, since for any a, b R,
(a + b) = (a + b, 0) = (a, 0) + (b, 0) = (a) + (b), and (ab) = (ab, 0) = (a, 0)(b, 0) =
(a)(b).
(b) R R R dene
Homework 7
October 25, 2010
Introduction to Abstract Algebra
Problem 1
Given a group G with |G : Z (G)| = n, we wish to show that all conjugacy classes have at
most n elements.
We know that for some x G,
Z (G) CG (x) G,
and in a previous homework we have
Homework 6
October 18, 2010
Introduction to Abstract Algebra
Problem 1
We prove the third isomorphism theorem, stating that if H, K G and H < K , then
K/H G/H and (G/K )/(K/H ) (G/K ).
We dene the map : G/H G/K by gH gK . Suppose we pick two g, g G such
t
Homework 5
October 11, 2010
Introduction to Abstract Algebra
Problem 1
Let G be a group and (S, ) be a set with a 2-to-1 operation : S S S . Let : G S be
a surjective map of sets such that (ab) = (a) (b) for all a, b G. Show that S is a group
under and th
Homework 4
October 4, 2010
Introduction to Abstract Algebra
Problem 1
Suppose the group G acts on the set X and x X .
(a) If y is in the kernel, then x X : y x = x. By denition of a group action, the identity
1 is in the kernel. Assume y is in the kernel,
Homework 3
September 27, 2010
Introduction to Abstract Algebra
Problem 1
(a) Inverses exist, since matrices A with det(A) = 0 are invertible. If A is invertible, then
det(A) = det(A1 )1 , so it is closed under inverses. The identity is the identity matrix
Homework 1
September 8, 2010
Introduction to Abstract Algebra
1
Section 0.1, Excercise 5:
Determine whether the following functions are well dened:
(a) f : Q Z dened by f a = a.
b
Our criteria for a well dened function is, that all representatives of the