CEE 370 Environmental Engineering Principles
|
|
- Nigel Copeland
- 5 years ago
- Views:
Transcription
1 Updated: 5 September 05 Print versin CEE 370 Envirnmental Engineering Principles Lecture #5 Envirnmental Chemistry III: Kinetics & ctivity Reading: Mihelcic & Zimmerman, Chapter 3 Davis & Masten, Chapter Mihelcic, Chapt 3. David Rechw CEE 370 L#5 Kinetics ase Hydrlysis dichlrmethane (DCM) Frms chlrmethanl (CM) and chlride Classic secnd rder reactin (mlecularity ) Rate [ DCM ][ OH d[ DCM ] d[ OH ] ] d[ CM ] d[ Cl First rder in each reactant, secnd rder verall ] David Rechw CEE 370 L#5 Lecture #5 Dave Rechw
2 Kinetic principles Law Mass ctin Fr elementary reactins a b rate C a C b prducts where, C = cncentratin reactant species, [mles/liter] C = cncentratin reactant species, [mles/liter] a = stichimetric ceicient species b = stichimetric ceicient species = rate cnstant, [units are dependent n a and b] David Rechw CEE 370 L#5 3 Kinetics: zer rder Reactins rder n in reactant c When n=0, we have a simple zer-rder reactin Example: bidegradatin,4-d Cncentratin c n Slpe 0 mg/ l/ min c c t Time (min) David Rechw CEE 370 L#5 4 Lecture #5 Dave Rechw
3 Kinetics: First Order When n=, we have a simple irstrder reactin This results in an expnential decay Example: decay 37 Cs rm Chernbyl accident Cncentratin c Time (min) David Rechw CEE 370 L#5 5 c min => prducts c e t Kinetics: First Order (cnt.) This equatin can be linearized gd r assessment rm data Cncentratin (lg scale) 00 0 c Slpe min ln c ln c t Time (min) David Rechw CEE 370 L#5 6 Lecture #5 Dave Rechw 3
4 Kinetics: Secnd Order When n=, we have a simple secnd-rder reactin + => prducts This is a reactin between tw identical mlecules Mre cmmn t have dierent mlecules reacting (see next slide) Cncentratin c c c t c Time (min) David Rechw CEE 370 L# L/ mg/min Kinetics; Pseud- st Order When yu have tw dierent species reacting via nd rder inetics verall + => prducts I ne reactant (c ) is present in great excess versus the ther, the cncentratin that ne can be treated as cnstant and lded int the rate cnstant t get a pseud-irst rder reactin bs c David Rechw CEE 370 L#5 8 where c bs c c Frm here yu can use the irst rder equatins Lecture #5 Dave Rechw 4
5 Cmparisn Reactin Orders Curvature: nd>st>zer Cncentratin Zer Order First Order Secnd Order Time (min) David Rechw CEE 370 L#5 9 Hal-lives Time required r initial cncentratin t drp t hal, ie., c=0.5c Fr a zer rder reactin: 0.5c cc t 0.5c c t c Fr a irst rder reactin: c e t 0.5c t c Try example 3.5 & 3.6 in Mihelcic David Rechw CEE 370 L#5 0 e t t ln() Lecture #5 Dave Rechw 5
6 Temperature Eects Temperature Dependence Chemist's pprach: rrhenius Equatin ctivatin energy d(ln ) E Pre-expnential Factr a E a / RTa dt RT T e a e T a T 93 0 K a E ( T 93)/ RT 93 a a a Engineer's pprach: C T0 C Or mre generally where T is any baseline temperature T T David Rechw a R = universal gas cnstant =.987 cal/ K/mle T a = abslute temp ( K) Typical values: =.0 t.5 T T ctivity ctivity is the eective r apparent cncentratin, which may be slightly dierent rm the true analytical cncentratin These tw dier substantially in waters with high TDS, such as sea water. We identiy these tw as llws: Curved bracets ({X}) indicate activity Square bracets ([X]) indicate cncentratin Usually this is mlar cncentratin This may als be used when we re nt very cncerned abut the dierences between activity and cncentratin David Rechw CEE 370 L#6 Lecture #5 Dave Rechw 6
7 Why the dierence? Mstly lng-range interactins between uninterested bystanders (chemical species that are nt invlved in the reactin) and the tw dancers interest (thse species that are reacting) David Rechw CEE 370 L#6 3 ctivity & Inic Strength Equilibrium qutients are really written r activities, nt cncentratins in mst natural waters activities are nearly equal t the mlar cncentratins In saline waters, we must accunt r dierences between the tw activity ceicients ( r ) are used r this Inic Strength (I r µ) is used t determine the extent crrectin I r K David Rechw CEE 370 L#6 4 c d C D a b C i z i Lecture #5 Dave Rechw 7
8 David Rechw CEE 370 L#6 5 Crrelatins r inic strength µ vs. speciic cnductance: Russell pprximatin µ =.6 x 0-5 x K (in µmh/cm) µ vs. TDS: Langlier apprximatin µ ~.5 x 0-5 x TDS (in mg/l) David Rechw CEE 370 L#6 6 Lecture #5 Dave Rechw 8
9 Crrectins t In ctivity pprximatin Equatin pplicable Range r I Debye-Hücel lg 0.5z I <0 -.3 Extended Debye-Hücel Güntelberg Davies I lg 0.5z <0-0.33a I I <0 -, slutins lg 0.5z I multiple electrlytes I <0.5 lg 0.5z 0. I I Frm Stumm & Mrgan, Table 3.3 (pg.03) 0.3, based n Mihelcic David Rechw CEE 370 L#6 7 Kinetic mdel r equilibrium Cnsider a reactin as llws: The rates are: r { }{ } r b { C}{ D} b + = C + D Since all reactins are reversible, we have tw pssibilities C D C D b nd at equilibrium the tw are equal, r =r b { }{ } { C}{ D} We then deine an equilibrium cnstant (K eq ) K eq b b { C}{ D} { }{ } David Rechw CEE 370 L#6 8 Lecture #5 Dave Rechw 9
10 Kinetic mdel with mles In terms mlar cncentratins, the rates are: r r b b C C D D nd at equilibrium the tw are equal, r =r b b C C D D nd slving r the equilibrium cnstant (K eq ) K eq b C C D D C D C D David Rechw CEE 370 L#6 9 T next lecture David Rechw CEE 370 L#5 0 Lecture #5 Dave Rechw 0
Elementary Reactions
Updated: 3 September 2013 Print version Lecture #5 Kinetics and Thermodynamics: Fundamentals of Kinetics and Analysis of Kinetic Data (Benjamin, 1.6) (Stumm & Morgan, Chapt.2 ) (pp.16-20; 69-81) David
More informationThermochemistry. Thermochemistry
Thermchemistry Petrucci, Harwd and Herring: Chapter 7 CHEM 1000A 3.0 Thermchemistry 1 Thermchemistry The study energy in chemical reactins A sub-discipline thermdynamics Thermdynamics studies the bulk
More informationFind this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.
Find this material useful? Yu can help ur team t eep this site up and bring yu even mre cntent cnsider dnating via the lin n ur site. Still having truble understanding the material? Chec ut ur Tutring
More informationFind this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.
Find this material useful? Yu can help ur team t keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring
More informationThermodynamics Partial Outline of Topics
Thermdynamics Partial Outline f Tpics I. The secnd law f thermdynamics addresses the issue f spntaneity and invlves a functin called entrpy (S): If a prcess is spntaneus, then Suniverse > 0 (2 nd Law!)
More informationThermochemistry. The study of energy changes that occur during chemical : at constant volume ΔU = q V. no at constant pressure ΔH = q P
Thermchemistry The study energy changes that ccur during chemical : at cnstant vlume ΔU = q V n at cnstant pressure = q P nly wrk Fr practical reasns mst measurements are made at cnstant, s thermchemistry
More informationHow can standard heats of formation be used to calculate the heat of a reaction?
Answer Key ALE 28. ess s Law and Standard Enthalpies Frmatin (Reerence: Chapter 6 - Silberberg 4 th editin) Imprtant!! Fr answers that invlve a calculatin yu must shw yur wrk neatly using dimensinal analysis
More informationProf. Dr. I. Nasser Phys530, T142 3-Oct-17 Fermi_gases. 0 f e. and fall off exponentially like Maxwell-Boltzmaan distribution.
Pr. Dr. I. Nasser Phys, -Oct-7 FERMI_DIRAC GASSES Fermins: Are particles hal-integer spin that bey Fermi-Dirac statistics. Fermins bey the Pauli exclusin principle, which prhibits the ccupancy an available
More informationCHAPTER Read Chapter 17, sections 1,2,3. End of Chapter problems: 25
CHAPTER 17 1. Read Chapter 17, sectins 1,2,3. End f Chapter prblems: 25 2. Suppse yu are playing a game that uses tw dice. If yu cunt the dts n the dice, yu culd have anywhere frm 2 t 12. The ways f prducing
More informationPart One: Heat Changes and Thermochemistry. This aspect of Thermodynamics was dealt with in Chapter 6. (Review)
CHAPTER 18: THERMODYNAMICS AND EQUILIBRIUM Part One: Heat Changes and Thermchemistry This aspect f Thermdynamics was dealt with in Chapter 6. (Review) A. Statement f First Law. (Sectin 18.1) 1. U ttal
More informationFind this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.
Find this material useful? Yu can help ur team t keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring
More informationSemester 2 AP Chemistry Unit 12
Cmmn In Effect and Buffers PwerPint The cmmn in effect The shift in equilibrium caused by the additin f a cmpund having an in in cmmn with the disslved substance The presence f the excess ins frm the disslved
More informationMolecular Weight and boiling point
Updated: 6 March 2018 Print version Lecture #4 Kinetics and Thermodynamics: Fundamentals of water and Ionic Strength (Stumm & Morgan, pp.1 15 Brezonik & Arnold, pg 10 18) (Benjamin, 1.2, 1.3, 1.5) David
More informationCHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review
Review Accrding t the nd law f Thermdynamics, a prcess is spntaneus if S universe = S system + S surrundings > 0 Even thugh S system
More informationLecture 12: Chemical reaction equilibria
3.012 Fundamentals f Materials Science Fall 2005 Lecture 12: 10.19.05 Chemical reactin equilibria Tday: LAST TIME...2 EQUATING CHEMICAL POTENTIALS DURING REACTIONS...3 The extent f reactin...3 The simplest
More informationHow can standard heats of formation be used to calculate the heat of a reaction?
Name Chem 161, Sectin: Grup Number: ALE 28. Hess s Law and Standard Enthalpies Frmatin (Reerence: Chapter 6 - Silberberg 5 th editin) Imprtant!! Fr answers that invlve a calculatin yu must shw yur wrk
More informationEntropy, Free Energy, and Equilibrium
Nv. 26 Chapter 19 Chemical Thermdynamics Entrpy, Free Energy, and Equilibrium Nv. 26 Spntaneus Physical and Chemical Prcesses Thermdynamics: cncerned with the questin: can a reactin ccur? A waterfall runs
More informationN 2 (g) + 3H 2 (g) 2NH 3 (g) o Three mole ratios can be derived from the balanced equation above: Example: Li(s) + O 2 (g) Li 2 O(s)
Chapter 9 - Stichimetry Sectin 9.1 Intrductin t Stichimetry Types f Stichimetry Prblems Given is in mles and unknwn is in mles. Given is in mles and unknwn is in mass (grams). Given is in mass and unknwn
More informationEdexcel IGCSE Chemistry. Topic 1: Principles of chemistry. Chemical formulae, equations and calculations. Notes.
Edexcel IGCSE Chemistry Tpic 1: Principles f chemistry Chemical frmulae, equatins and calculatins Ntes 1.25 write wrd equatins and balanced chemical equatins (including state symbls): fr reactins studied
More informationLCAO APPROXIMATIONS OF ORGANIC Pi MO SYSTEMS The allyl system (cation, anion or radical).
Principles f Organic Chemistry lecture 5, page LCAO APPROIMATIONS OF ORGANIC Pi MO SYSTEMS The allyl system (catin, anin r radical).. Draw mlecule and set up determinant. 2 3 0 3 C C 2 = 0 C 2 3 0 = -
More informationCHAPTER PRACTICE PROBLEMS CHEMISTRY
Chemical Kinetics Name: Batch: Date: Rate f reactin. 4NH 3 (g) + 5O (g) à 4NO (g) + 6 H O (g) If the rate f frmatin f NO is 3.6 0 3 ml L s, calculate (i) the rate f disappearance f NH 3 (ii) rate f frmatin
More information(Benjamin, 1.2, 1.3, 1.5)
Updated: 6 March 2018 Print version Lecture #4 Kinetics and Thermodynamics: Fundamentals of water and Ionic Strength (Stumm & Morgan, pp.1-15 Brezonik & Arnold, pg 10-18) (Benjamin, 1.2, 1.3, 1.5) David
More informationFind this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.
Find this material useful? Yu can help ur team t keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring
More information15.0 g Cr = 21.9 g Cr O g Cr 4 mol Cr mol Cr O
WYSE Academic Challenge Sectinal Chemistry Exam 2008 SOLUTION SET 1. Crrect answer: B. Use PV = nrt t get: PV = nrt 2. Crrect answer: A. (2.18 atm)(25.0 L) = n(0.08206 L atm/ml K)(23+273) n = 2.24 ml Assume
More informationWhen a substance heats up (absorbs heat) it is an endothermic reaction with a (+)q
Chemistry Ntes Lecture 15 [st] 3/6/09 IMPORTANT NOTES: -( We finished using the lecture slides frm lecture 14) -In class the challenge prblem was passed ut, it is due Tuesday at :00 P.M. SHARP, :01 is
More information[ ] [ ] [ ] [ ] [ ] [ J] dt x x hard to solve in general solve it numerically. If there is no convection. is in the absence of reaction n
.3 The material balance equatin Net change f [J] due t diffusin, cnvectin, and reactin [ ] [ ] [ ] d J J J n = D v k [ J ] fr n - th reactin dt x x hard t slve in general slve it numerically If there is
More informationFind this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.
Find this material useful? Yu can help ur team t keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring
More informationCEE 370 Environmental Engineering Principles. Equilibrium Chemistry
Updated: 9 September 015 Print version CEE 370 Environmental Engineering Principles Lecture #6 Environmental Chemistry IV: Thermodynamics, Equilibria, Acids-bases I Reading: Mihelcic & Zimmerman, Chapter
More informationTypes of Energy COMMON MISCONCEPTIONS CHEMICAL REACTIONS INVOLVE ENERGY
CHEMICAL REACTIONS INVOLVE ENERGY The study energy and its transrmatins is knwn as thermdynamics. The discussin thermdynamics invlve the cncepts energy, wrk, and heat. Types Energy Ptential energy is stred
More informationAP CHEMISTRY CHAPTER 6 NOTES THERMOCHEMISTRY
AP CHEMISTRY CHAPTER 6 NOTES THERMOCHEMISTRY Energy- the capacity t d wrk r t prduce heat 1 st Law f Thermdynamics: Law f Cnservatin f Energy- energy can be cnverted frm ne frm t anther but it can be neither
More informationChem 75 February 16, 2017 Exam 2 Solutions
1. (6 + 6 pints) Tw quick questins: (a) The Handbk f Chemistry and Physics tells us, crrectly, that CCl 4 bils nrmally at 76.7 C, but its mlar enthalpy f vaprizatin is listed in ne place as 34.6 kj ml
More informationChapter 8 Reduction and oxidation
Chapter 8 Reductin and xidatin Redx reactins and xidatin states Reductin ptentials and Gibbs energy Nernst equatin Disprprtinatin Ptential diagrams Frst-Ebswrth diagrams Ellingham diagrams Oxidatin refers
More informationComputational modeling techniques
Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins
More information5.60 Thermodynamics & Kinetics Spring 2008
MIT OpenCurseWare http://cw.mit.edu 5.60 Thermdynamics & Kinetics Spring 2008 Fr infrmatin abut citing these materials r ur Terms f Use, visit: http://cw.mit.edu/terms. 5.60 Spring 2008 Lecture #17 page
More informationChapter 17 Free Energy and Thermodynamics
Chemistry: A Mlecular Apprach, 1 st Ed. Nivald Tr Chapter 17 Free Energy and Thermdynamics Ry Kennedy Massachusetts Bay Cmmunity Cllege Wellesley Hills, MA 2008, Prentice Hall First Law f Thermdynamics
More informationGeneral Chemistry II, Unit II: Study Guide (part 1)
General Chemistry II, Unit II: Study Guide (part 1) CDS Chapter 21: Reactin Equilibrium in the Gas Phase General Chemistry II Unit II Part 1 1 Intrductin Sme chemical reactins have a significant amunt
More informationThermodynamics and Equilibrium
Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,
More informationChapter 19. Electrochemistry. Dr. Al Saadi. Electrochemistry
Chapter 19 lectrchemistry Part I Dr. Al Saadi 1 lectrchemistry What is electrchemistry? It is a branch f chemistry that studies chemical reactins called redx reactins which invlve electrn transfer. 19.1
More informationElementary Reactions
Updted: 6 Mrh 08 Print versin Leture #5 Kinetis nd Thermdynmis: Fundmentls Kinetis nd Anlysis Kineti Dt (Benjmin,.6) (Stumm & Mrgn, Chpt. ) (pp.6 0; 69 8) Dvid Rehw CEE 680 #5 Elementry Retins When retnt
More informationSolutions to the Extra Problems for Chapter 14
Slutins t the Extra Prblems r Chapter 1 1. The H -670. T use bnd energies, we have t igure ut what bnds are being brken and what bnds are being made, s we need t make Lewis structures r everything: + +
More informationAdvanced Chemistry Practice Problems
Advanced Chemistry Practice Prblems Thermdynamics: Gibbs Free Energy 1. Questin: Is the reactin spntaneus when ΔG < 0? ΔG > 0? Answer: The reactin is spntaneus when ΔG < 0. 2. Questin: Fr a reactin with
More informationGASES. PV = nrt N 2 CH 4 CO 2 O 2 HCN N 2 O NO 2. Pressure & Boyle s Law Temperature & Charles s Law Avogadro s Law IDEAL GAS LAW
GASES Pressure & Byle s Law Temperature & Charles s Law Avgadr s Law IDEAL GAS LAW PV = nrt N 2 CH 4 CO 2 O 2 HCN N 2 O NO 2 Earth s atmsphere: 78% N 2 21% O 2 sme Ar, CO 2 Sme Cmmn Gasses Frmula Name
More informationChapter 17: Thermodynamics: Spontaneous and Nonspontaneous Reactions and Processes
Chapter 17: hermdynamics: Spntaneus and Nnspntaneus Reactins and Prcesses Learning Objectives 17.1: Spntaneus Prcesses Cmparing and Cntrasting the hree Laws f hermdynamics (1 st Law: Chap. 5; 2 nd & 3
More informationAccelerated Chemistry POGIL: Half-life
Name: Date: Perid: Accelerated Chemistry POGIL: Half-life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng as
More informationUnit 14 Thermochemistry Notes
Name KEY Perid CRHS Academic Chemistry Unit 14 Thermchemistry Ntes Quiz Date Exam Date Lab Dates Ntes, Hmewrk, Exam Reviews and Their KEYS lcated n CRHS Academic Chemistry Website: https://cincchem.pbwrks.cm
More informationChemistry/ Biotechnology Reference Sheets
Cmmn Metric Prefixes: Giga (G) = 1,000,000,000 = Kil (k) = 1,000 = Deci (d) =.1 = Milli (m) =.001 = Nan (n) =.000000001 = 9 6 1 10 Mega (M) = 1,000,000 = 1 10 0 1 10 Basic unit = meter, gram, liter, secnd
More informationLecture 16 Thermodynamics II
Lecture 16 Thermdynamics II Calrimetry Hess s Law Enthalpy r Frmatin Cpyright 2013, 2011, 2009, 2008 AP Chem Slutins. All rights reserved. Fur Methds fr Finding H 1) Calculate it using average bnd enthalpies
More informationlecture 5: Nucleophilic Substitution Reactions
lecture 5: Nuclephilic Substitutin Reactins Substitutin unimlecular (SN1): substitutin nuclephilic, unimlecular. It is first rder. The rate is dependent upn ne mlecule, that is the substrate, t frm the
More informationChem 112, Fall 05 (Weis/Garman) Exam 4A, December 14, 2005 (Print Clearly) +2 points
+2 pints Befre yu begin, make sure that yur exam has all 7 pages. There are 14 required prblems (7 pints each) and tw extra credit prblems (5 pints each). Stay fcused, stay calm. Wrk steadily thrugh yur
More informationCHAPTER 6 / HARVEY A. CHEMICAL EQUILIBRIUM B. THERMODYNAMICS AND EQUILIBRIUM C. MANUPULATING EQUILIBRIUM CONSTANTS
CHPTER 6 / HRVEY. CHEMICL B. THERMODYNMICS ND C. MNUPULTING CONSTNTS D. CONSTNTS FOR CHEMICL RECTIONS 1. Precipitatin Reactins 2. cid-base Reactins 3. Cmplexatin Reactins 4. Oxidatin-Reductin Reactins
More informationVibrations. Matti Hotokka Department of Physical Chemistry Åbo Akademi University
Vibratins Matti Htkka Department f Physical Chemistry Åb Akademi University Harmnic scillatr V(r) Schrödinger s equatin Define q = r - r e V ( q) = 1 2 fq 2 α = f hν r e r 2 2 h d + V ( q) Ψ( q) = EΨ(
More informationComplex Reactions and Mechanisms (continued)
5.60 Spring 2005 Lecture #29 page 1 Cmplex Reactins and Mechanisms (cntinued) Sme cmments abut analyzing kinetic data A) Reactins with ne reactant: A prducts a) Plt r analyze [A vs. t ln[a vs. t 1/[A vs.
More informationNUPOC STUDY GUIDE ANSWER KEY. Navy Recruiting Command
NUPOC SUDY GUIDE ANSWER KEY Navy Recruiting Cmmand CHEMISRY. ph represents the cncentratin f H ins in a slutin, [H ]. ph is a lg scale base and equal t lg[h ]. A ph f 7 is a neutral slutin. PH < 7 is acidic
More information( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s
.9 Kinetic Mlecular Thery Calculate the effective (rms) speeds f the He and Ne atms in the He-Ne gas laser tube at rm temperature (300 K). Slutin T find the rt mean square velcity (v rms ) f He atms at
More informationA Few Basic Facts About Isothermal Mass Transfer in a Binary Mixture
Few asic Facts but Isthermal Mass Transfer in a inary Miture David Keffer Department f Chemical Engineering University f Tennessee first begun: pril 22, 2004 last updated: January 13, 2006 dkeffer@utk.edu
More informationAcids and Bases Lesson 3
Acids and Bases Lessn 3 The ph f a slutin is defined as the negative lgarithm, t the base ten, f the hydrnium in cncentratin. In a neutral slutin at 25 C, the hydrnium in and the hydrxide in cncentratins
More informationA. Lattice Enthalpies Combining equations for the first ionization energy and first electron affinity:
[15.1B Energy Cycles Lattice Enthalpy] pg. 1 f 5 CURRICULUM Representative equatins (eg M+(g) M+(aq)) can be used fr enthalpy/energy f hydratin, inizatin, atmizatin, electrn affinity, lattice, cvalent
More informationFunction notation & composite functions Factoring Dividing polynomials Remainder theorem & factor property
Functin ntatin & cmpsite functins Factring Dividing plynmials Remainder therem & factr prperty Can d s by gruping r by: Always lk fr a cmmn factr first 2 numbers that ADD t give yu middle term and MULTIPLY
More informationKinetic Model Completeness
5.68J/10.652J Spring 2003 Lecture Ntes Tuesday April 15, 2003 Kinetic Mdel Cmpleteness We say a chemical kinetic mdel is cmplete fr a particular reactin cnditin when it cntains all the species and reactins
More informationLecture 24: Flory-Huggins Theory
Lecture 24: 12.07.05 Flry-Huggins Thery Tday: LAST TIME...2 Lattice Mdels f Slutins...2 ENTROPY OF MIXING IN THE FLORY-HUGGINS MODEL...3 CONFIGURATIONS OF A SINGLE CHAIN...3 COUNTING CONFIGURATIONS FOR
More informationIn the half reaction I 2 2 I the iodine is (a) reduced (b) oxidized (c) neither of the above
6.3-110 In the half reactin I 2 2 I the idine is (a) reduced (b) xidized (c) neither f the abve 6.3-120 Vitamin C is an "antixidant". This is because it (a) xidizes readily (b) is an xidizing agent (c)
More informationUC A-G Chemistry. Gorman Learning Center (052344) Basic Course Information
UC A-G Chemistry Grman Learning Center (052344) Basic Curse Infrmatin Title: UC A-G Chemistry Transcript abbreviatins: A-G Chem / A-G Chem Length f curse: Full Year Subject area: Labratry Science ("d")
More informationhttps://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd
NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng
More informationChemical Equilibrium
0.110/5.60 Fall 005 Lecture #10 age 1 Chemical Equilibrium Ideal Gases Questin: What is the cmsitin f a reacting miture f ideal gases? e.g. ½ N (g, T, ) + 3/ H (g, T, ) = NH 3 (g, T, ) What are N,, and
More informationPhys. 344 Ch 7 Lecture 8 Fri., April. 10 th,
Phys. 344 Ch 7 Lecture 8 Fri., April. 0 th, 009 Fri. 4/0 8. Ising Mdel f Ferrmagnets HW30 66, 74 Mn. 4/3 Review Sat. 4/8 3pm Exam 3 HW Mnday: Review fr est 3. See n-line practice test lecture-prep is t
More informationChapters 29 and 35 Thermochemistry and Chemical Thermodynamics
Chapters 9 and 35 Thermchemistry and Chemical Thermdynamics 1 Cpyright (c) 011 by Michael A. Janusa, PhD. All rights reserved. Thermchemistry Thermchemistry is the study f the energy effects that accmpany
More informationChE 471: LECTURE 4 Fall 2003
ChE 47: LECTURE 4 Fall 003 IDEL RECTORS One f the key gals f chemical reactin engineering is t quantify the relatinship between prductin rate, reactr size, reactin kinetics and selected perating cnditins.
More informationChemistry 132 NT. Electrochemistry. Review
Chemistry 132 NT If yu g flying back thrugh time, and yu see smebdy else flying frward int the future, it s prbably best t avid eye cntact. Jack Handey 1 Chem 132 NT Electrchemistry Mdule 3 Vltaic Cells
More informationCHEM 103 Calorimetry and Hess s Law
CHEM 103 Calrimetry and Hess s Law Lecture Ntes March 23, 2006 Prf. Sevian Annuncements Exam #2 is next Thursday, March 30 Study guide, practice exam, and practice exam answer key are already psted n the
More informationEstimation of Thermodynamic Properties and Ionic Equilibria of Cobalt Chloride Solution at 298 K
Materials Transactins, Vl., N. () pp. 117 t 11 # The Japan Institute f Metals Estimatin f Thermdynamic Prperties and Inic Equilibria f Cbalt Chlride Slutin at 98 K Man-seung Lee 1 and Yung-j Oh 1 Department
More informationCHM 152 Practice Final
CM 152 Practice Final 1. Of the fllwing, the ne that wuld have the greatest entrpy (if cmpared at the same temperature) is, [a] 2 O (s) [b] 2 O (l) [c] 2 O (g) [d] All wuld have the same entrpy at the
More informationChapter 4 Thermodynamics and Equilibrium
Chapter Thermdynamics and Equilibrium Refer t the fllwing figures fr Exercises 1-6. Each represents the energies f fur mlecules at a given instant, and the dtted lines represent the allwed energies. Assume
More informationCHEM 1001 Problem Set #3: Entropy and Free Energy
CHEM 1001 Prblem Set #3: Entry and Free Energy 19.7 (a) Negative; A liquid (mderate entry) cmbines with a slid t frm anther slid. (b)psitive; One mle f high entry gas frms where n gas was resent befre.
More informationCHEM 2400/2480. Lecture 19
Lecture 19 Metal In Indicatr - a cmpund whse clur changes when it binds t a metal in - t be useful, it must bind the metal less strngly than EDTA e.g. titratin f Mg 2+ with EDTA using erichrme black T
More informationFind this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.
Find this material useful? Yu can help ur team t keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring
More information[ ] CEE October 2010 FIRST EXAM. Closed book, one page of notes allowed.
CEE 680 19 Octber 0 IRST EXAM Clsed bk, ne page f ntes alled. Anser all questins. Please state any additinal assumptins yu made, and sh all rk. Yu are elcme t use a graphical methd f slutin if it is apprpriate.
More informationGOAL... ability to predict
THERMODYNAMICS Chapter 18, 11.5 Study f changes in energy and transfers f energy (system < = > surrundings) that accmpany chemical and physical prcesses. GOAL............................. ability t predict
More informationSolution to HW14 Fall-2002
Slutin t HW14 Fall-2002 CJ5 10.CQ.003. REASONING AND SOLUTION Figures 10.11 and 10.14 shw the velcity and the acceleratin, respectively, the shadw a ball that underges unirm circular mtin. The shadw underges
More informationUniversity Chemistry Quiz /04/21 1. (10%) Consider the oxidation of ammonia:
University Chemistry Quiz 3 2015/04/21 1. (10%) Cnsider the xidatin f ammnia: 4NH 3 (g) + 3O 2 (g) 2N 2 (g) + 6H 2 O(l) (a) Calculate the ΔG fr the reactin. (b) If this reactin were used in a fuel cell,
More informationA.P. CHEMISTRY. SOLUTIONS AND ACID BASE CHEMISTRY. p 1
A.P. CHEMISTRY. SOLUTIONS AND ACID BASE CHEMISTRY. p 1 (Nte: questins 1 t 14 are meant t be dne WITHOUT calculatrs!) 1.Which f the fllwing is prbably true fr a slid slute with a highly endthermic heat
More information4 Fe + 3 O 2 2 Fe 2 O 3
UNIT 7: STOICHIOMETRY NOTES (chapter 9) INTRO TO STOICHIOMETRY Reactin Stichimetry: Stichimetry is simply a way t shw f smething this is. Relatinship between a given and an unknwn: GIVEN UNKNOWN Type 1
More informationCambridge Assessment International Education Cambridge Ordinary Level. Published
Cambridge Assessment Internatinal Educatin Cambridge Ordinary Level ADDITIONAL MATHEMATICS 4037/1 Paper 1 Octber/Nvember 017 MARK SCHEME Maximum Mark: 80 Published This mark scheme is published as an aid
More informationMATHEMATICS SYLLABUS SECONDARY 5th YEAR
Eurpean Schls Office f the Secretary-General Pedaggical Develpment Unit Ref. : 011-01-D-8-en- Orig. : EN MATHEMATICS SYLLABUS SECONDARY 5th YEAR 6 perid/week curse APPROVED BY THE JOINT TEACHING COMMITTEE
More information( ) + θ θ. ω rotation rate. θ g geographic latitude - - θ geocentric latitude - - Reference Earth Model - WGS84 (Copyright 2002, David T.
1 Reference Earth Mdel - WGS84 (Cpyright, David T. Sandwell) ω spherid c θ θ g a parameter descriptin frmula value/unit GM e (WGS84) 3.9864418 x 1 14 m 3 s M e mass f earth - 5.98 x 1 4 kg G gravitatinal
More information**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!**
Tpics lists: UV-Vis Absrbance Spectrscpy Lab & ChemActivity 3-6 (nly thrugh 4) I. UV-Vis Absrbance Spectrscpy Lab Beer s law Relates cncentratin f a chemical species in a slutin and the absrbance f that
More informationSupporting information
Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 ydrgen perxide electrchemistry n platinum: twards understanding the xygen reductin reactin
More informationINTRODUCTION TO ENZYME KINETICS
Bilgy 00; Lecture 0 INTRODUCTION TO ENZYME INETICS enzye actie (catalytic) sites. stabilize substrate binding with sae cllectin f nn-calent interactins which theseles stabilize enzye 3-D cnfratins H-bnds,
More informationBIT Chapters = =
BIT Chapters 17-0 1. K w = [H + ][OH ] = 9.5 10 14 [H + ] = [OH ] =.1 10 7 ph = 6.51 The slutin is neither acidic nr basic because the cncentratin f the hydrnium in equals the cncentratin f the hydride
More informationMODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
More informationMaking and Experimenting with Voltaic Cells. I. Basic Concepts and Definitions (some ideas discussed in class are omitted here)
Making xperimenting with Vltaic Cells I. Basic Cncepts Definitins (sme ideas discussed in class are mitted here) A. Directin f electrn flw psitiveness f electrdes. If ne electrde is mre psitive than anther,
More informationBASIC DIRECT-CURRENT MEASUREMENTS
Brwn University Physics 0040 Intrductin BASIC DIRECT-CURRENT MEASUREMENTS The measurements described here illustrate the peratin f resistrs and capacitrs in electric circuits, and the use f sme standard
More informationx x
Mdeling the Dynamics f Life: Calculus and Prbability fr Life Scientists Frederick R. Adler cfrederick R. Adler, Department f Mathematics and Department f Bilgy, University f Utah, Salt Lake City, Utah
More information2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS
2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS 6. An electrchemical cell is cnstructed with an pen switch, as shwn in the diagram abve. A strip f Sn and a strip f an unknwn metal, X, are used as electrdes.
More informationMore Tutorial at
Answer each questin in the space prvided; use back f page if extra space is needed. Answer questins s the grader can READILY understand yur wrk; nly wrk n the exam sheet will be cnsidered. Write answers,
More informationChem 163 Section: Team Number: ALE 24. Voltaic Cells and Standard Cell Potentials. (Reference: 21.2 and 21.3 Silberberg 5 th edition)
Name Chem 163 Sectin: Team Number: ALE 24. Vltaic Cells and Standard Cell Ptentials (Reference: 21.2 and 21.3 Silberberg 5 th editin) What des a vltmeter reading tell us? The Mdel: Standard Reductin and
More informationSession #22: Homework Solutions
Sessin #22: Hmewrk Slutins Prblem #1 (a) In the cntext f amrphus inrganic cmpunds, name tw netwrk frmers, tw netwrk mdifiers, and ne intermediate. (b) Sketch the variatin f mlar vlume with temperature
More information2.303 [ OH ] [ H ] CT
CEE 680 25 Octber 2011 FIRST EXAM Clsed bk, ne page f ntes allwed. Answer all questins. Please state any additinal assumptins yu made, and shw all wrk. Yu are welcme t use a graphical methd f slutin if
More informationWork and Heat Definitions
Wrk and eat Deinitins FL- Surrundings: Everything utside system + q -q + System: he part S the rld e are bserving. Wrk, : transer energy as a result unbalanced rces - eat, q: transer energy resulting rm
More informationChapter 15 Conjugated Systems
Chapter 15 Cnjugated Systems What makes a cnjugated system? When yu have alternating duble bnds, the electrns f the pi system can flw ver a lnger length. This is cnjugatin. Stabilities f Dienes Cnjugated
More information