Supporting information

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Supporting information"

Transcription

1 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 mechanism I. Katsunars, W.B. Schneider, J.C. Meier, U. Benedikt, P.U. Biedermann, A.A. Auer and K.J.J. Mayrhfer Supprting infrmatin Thermdynamic cnsideratins The thermdynamic analysis f is based n the electrchemical Reactins (1)-(3) and the nn-electrchemical bimlecular disprprtinatin Reactin (4). The crrespnding equatins fr the reactin free energies and the Nernst equatins are summarized in Table S1. Frmally the fur electrn reductin f xygen, Reactin (1), crrespnds t the sum f the Reactins () and (3). ence, the reactin free energy f (1) is equivalent t the cmbined reactin free energies standard ptential is given by E / / / /, and the 1 E 1 E (using = n). The / / disprprtinatin Reactin (4) can be frmally derived as the sum f Reactin (3) and the reversed Reactin (). Accrdingly the reactin free energy is. Equatin (8) defines an equilibrium / / cncentratin fr f ml l 1 at p = 1 atm. At higher cncentratins is unstable with respect t disprprtinatin int xygen and water.

2 Table S1: Reactins, ibbs free energies and Nernst equatins Reactin ibbs free energy Nernst equatin + 4e (1) 4 / / ln ( 4 / / / / = kj ml 1 ) 4 / / ln 4 F E E (7) ( / E +1.9 V) 1 + e + + () / / ln ( / / = kj ml 1 ) / / ln F E E (5) ( / E V) 1 + e + + (3) ln / / ( / / = 340. kj ml 1 ) / / ln F E E (6) ( / E V) 1 + (4) ln (8) / / = 06.1 kj ml 1 ) Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01

3 Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 Figure S1. Equilibrium ptentials fr hydrgen perxide xidatin (red), and reductin (green) as a functin f cncentratin at 1 atm. Fr cmparisn, the equilibrium ptential fr direct xygen reductin (blue) and the equilibrium cncentratin fr nn-electrchemical frmatin/decmpsitin (purple) are als shwn. Equilibrium lines at an xygen pressure f atm are dashed. The equilibrium ptentials fr the PRR as functin f the cncentratin are shwn in Figure S1. The ptentials are expressed with respect t the reversible hydrgen electrde (RE) ptential. The diagram is calculated fr p values < 11, where is undissciated (pka = 11.63) and an xygen partial pressure f 1 bar. The effect f the xygen pressure is indicated by dashed lines, which crrespnd t p = bar. The equilibrium lines f all fur Reactins (1)-(4) intersect in ne pint because the reactins are frmally interrelated (see abve). The intersectin pint crrespnds t a state where the thermdynamic driving frce fr all reactins vanishes. The Nernst ptential fr the fur electrn reductin f xygen t water is independent f the cncentratin and hence appears as a hrizntal line in Figure

4 Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 S1. It separates the regins f xygen reductin at ptentials belw +1.9 V RE (at p = 1 atm) frm the regins f xygen evlutin abve the equilibrium ptential. Figure S1 shws that at ptentials where the xygen reductin prceeds (<0.9 V), significant amunts f hydrgen perxide (>10 7 ml l 1 ) may be frmed by Reactin (). Furthermre, the driving frce fr reductin f is high. ence the thermdynamic analysis shws that under these cnditins the xygen reductin may prceed by the perx -mechanism via a shrt-lived intermediate. If is added t the electrlyte with cncentratins >10 18 ml l 1 it is metastable. At ptentials between the equilibrium lines fr perxide reductin (Equatin (6)) and perxide xidatin (Equatin (5)), reductin as well as xidatin f are thermdynamically favrable. At lwer ptentials (belw the red line in Figure S1), nly the reductin f has a strng thermdynamic driving frce. In summary, is stable nly at very lw cncentratins and may be prduced in significant amunts either at relatively high ptentials by xidatin f water, r at lw ptentials by reductin f xygen, prvided decmpsitin reactins are kinetically hindered. At intermediate ptentials (arund 1. V) and cncentratins > ml l 1, is unstable with respect t xidatin t xygen, reductin t water and disprprtinatin. Cyclic vltammetry at different hydrgen perxide cncentratin The PRR was studied in different cncentratins in the regin 1-0x10-3 M in a 0.1 M Cl 4 supprting electrlyte. The backgrund-crrected cyclic vltammgrams (nt depicted) scale with the cncentratin f in the whle ptential regin under study; as a cnsequence, the plts f the dimensinless currents vs. the ptential (i/i L vs. E) cincide fr all cncentratins (see Fig. S), as it is expected fr diffusin limited prcesses. Minr differences that are bserved in the transitin regin, particularly clse t the diffusin-limited currents, are attributed t uncmpensated resistance which was less than Ω. Nte that the measured current in this regin fr the highest cncentratin is in the rder f 10 ma.

5 Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 Figure S. Dimensinless currents vs. the ptential (i/i L vs. E) (psitive scan) in different cncentratins f (in the regin between 1x10-3 M and 0x10-3 M ). The inset shws the diffusin-limited reductin current vs. the bulk cncentratin f hydrgen perxide. Supprting electrlyte: 0.1 M Cl 4. Rtatin rate: 1600 rpm. Scan rate: 0.1 V s 1. The diffusin limited current fr bth the xidatin and the reductin f depends linearly n its cncentratin, as it is expected frm the Levich equatin. Using this equatin and the slpe f the diagram f i L,c vs. cncentratin (see inset in Fig. S), the diffusin cefficient f in 0.1 M Cl 4 was calculated as 1.8x10 5 cm s 1. Electrlysis experiments The electrlysis experiments were perfrmed using the fllwing methdlgy, which is schematically depicted in Scheme S1: i) First, the electrde was plarized fr tw minutes at the apprpriate ptential, while it was rtated with a rate f 500 rpm. ii) Then, three cyclic vltammgrams were recrded between +0.3 and +1.7 V RE with a scan rate f 0. V s 1, whereas the rtatin rate was 400 rpm. iii) The first step was repeated again.

6 Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 Scheme S1. Methdlgy fr the electrlysis experiments The cyclic vltammgrams in between the cnstant ptential steps were perfrmed fr tw reasns: (i) the surface was cleaned because accumulatin f impurities (especially at the lw ptentials) takes place rapidly due t the high rtatin rate and (ii) the cncentratin f culd be directly determined by the diffusin limited current fr the xidatin f during the psitive sweep in the 3rd cycle. The switching f the rtatin rate frm 500 rpm (in the cnstant ptential step) t 400 rpm (in the sweeping experiment) was necessary in rder t minimize the cntributin f the latter (which lasts in ttal 4 s fr 3 cycles) t the depletin f, nevertheless still being able t determine the cncentratin f hydrgen perxide frm the diffusinlimited current. It shuld be nted that fr the calculatin f the expected cncentratin vs. time using Levich and Faraday equatins, the rate f decmpsitin f during bth steps f the experiment (cnstant ptential and ptential sweep) was taken int accunt, cnsidering the time needed in the tw different steps and that tw different rtatin rates were applied. Mrever, the diffusin cefficient that we determined frm cyclic vltammetry (D = cm s 1 ) was used instead f any literature value. In the additinal experiment at pen circuit as mentined in the text, the current was cntrlled at zer minutes instead f hlding a cnstant ptential; all ther cnditins f the experiment were the same.

7 Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 Experiment at pen circuit in 0.1 M Cl M electrlyte Figure S3 shws the cncentratin f hydrgen perxide vs. time in the experiment at pen circuit that was perfrmed in a 0.1 M Cl M electrlyte. The cmparisn with the slid line, which represents the expected cncentratin decay if the reactin rate is diffusin limited, shws that this is true even in this high cncentratin f perxide. The way this experiment was perfrmed, was the same as described abve. If the cncentratin decay is expressed in terms f dimensinless cncentratin (C(t)/C(0) vs. time, where C(t) is the cncentratin at time t and C(0) the initial cncentratin f hydrgen perxide), then all cncentratin prfiles cincide, regardless f the applied ptential r the initial cncentratin f. This reveals that the rate f decmpsitin is linearly prprtinal t the bulk cncentratin, which is characteristic fr a diffusin-cntrlled prcess. Figure S3. Cncentratin f vs. time during the experiment at pen circuit in 0.1 M Cl M. The slid line represents the expected cncentratin decay fr a diffusin limited reactin rate, using Levich and Faraday equatins as described in the paper. Cyclic vltammetry at different rtatin rates Figure S4 shws the backgrund-crrected cyclic vltammgrams in 0.1 M Cl M slutin at different rtatin rates f the platinum wrking electrde. The data used here are the same as thse shwn in Fig. 3(c). The current is prprtinal t the square rt f the rtatin rate in the whle ptential regin, even in the transitin regin. This indicates that the shape f the cyclic vltammgram des nt

8 Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 change with the change f the diffusin layer thickness. In the inset f Fig. S4, the cyclic vltammgrams fr each rtatin rate are nrmalized t the crrespnding diffusinlimited xidatin current, where ne can see that the dimensinless cyclic vltammgrams cincide fr all rtatin rates. Figure S4. Cyclic vltammgrams at different rtatin rates in 0.1 M Cl M. The inset shws the cyclic vltammgrams fr each rtatin rate nrmalized t the crrespnding diffusin-limited xidatin current. References (1) are, J. P. In Standard ptentials in aqueus slutin; Bard, A. J.; Parsns, R.; Jrdan, J. Ed.; Marcel Dekker: New Yrk, 1985; p. 49. () Purbaix, M. Atlas f electrchemical equilibria in aqueus slutins; Pergamn Press: Brussels, 1966; p. 99.

Chapter 8 Reduction and oxidation

Chapter 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 information

Chapter 19. Electrochemistry. Dr. Al Saadi. Electrochemistry

Chapter 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 information

University Chemistry Quiz /04/21 1. (10%) Consider the oxidation of ammonia:

University 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 information

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium Lecture 17: 11.07.05 Free Energy f Multi-phase Slutins at Equilibrium Tday: LAST TIME...2 FREE ENERGY DIAGRAMS OF MULTI-PHASE SOLUTIONS 1...3 The cmmn tangent cnstructin and the lever rule...3 Practical

More information

CHEM 116 Electrochemistry at Non-Standard Conditions, and Intro to Thermodynamics

CHEM 116 Electrochemistry at Non-Standard Conditions, and Intro to Thermodynamics CHEM 116 Electrchemistry at Nn-Standard Cnditins, and Intr t Thermdynamics Imprtant annuncement: If yu brrwed a clicker frm me this semester, return it t me at the end f next lecture r at the final exam

More information

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s

( ) 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 information

Chem 163 Section: Team Number: ALE 24. Voltaic Cells and Standard Cell Potentials. (Reference: 21.2 and 21.3 Silberberg 5 th edition)

Chem 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 information

Thermodynamics and Equilibrium

Thermodynamics 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 information

Chem 75 February 16, 2017 Exam 2 Solutions

Chem 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 information

CHAPTER 6 / HARVEY A. CHEMICAL EQUILIBRIUM B. THERMODYNAMICS AND EQUILIBRIUM C. MANUPULATING EQUILIBRIUM CONSTANTS

CHAPTER 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 information

Electrochemistry. Half-Reactions 1. Balancing Oxidation Reduction Reactions in Acidic and Basic Solutions

Electrochemistry. Half-Reactions 1. Balancing Oxidation Reduction Reactions in Acidic and Basic Solutions Electrchemistry Half-Reactins 1. Balancing Oxidatin Reductin Reactins in Acidic and Basic Slutins Vltaic Cells 2. Cnstructin f Vltaic Cells 3. Ntatin fr Vltaic Cells 4. Cell Ptential 5. Standard Cell Ptentials

More information

Electrochemistry. Learning Objectives. Half-Reactions 1. Balancing Oxidation Reduction Reactions in Acidic and Basic Solutions

Electrochemistry. Learning Objectives. Half-Reactions 1. Balancing Oxidation Reduction Reactions in Acidic and Basic Solutions Electrchemistry 1 Learning Objectives Electrchemistry Balancing Oxidatin Reductin Reactins in Acidic and Basic Slutins a. Learn the steps fr balancing xidatin reductin reactins using the half-reactin methd.

More information

Spontaneous Processes, Entropy and the Second Law of Thermodynamics

Spontaneous Processes, Entropy and the Second Law of Thermodynamics Chemical Thermdynamics Spntaneus Prcesses, Entrpy and the Secnd Law f Thermdynamics Review Reactin Rates, Energies, and Equilibrium Althugh a reactin may be energetically favrable (i.e. prducts have lwer

More information

Making and Experimenting with Voltaic Cells. I. Basic Concepts and Definitions (some ideas discussed in class are omitted here)

Making 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 information

CHEMISTRY 16 HOUR EXAM IV KEY April 23, 1998 Dr. Finklea. 1. The anti-cancer drug cis-platin is the complex: cis-[pt(nh ) (Cl) ]. In this complex, the

CHEMISTRY 16 HOUR EXAM IV KEY April 23, 1998 Dr. Finklea. 1. The anti-cancer drug cis-platin is the complex: cis-[pt(nh ) (Cl) ]. In this complex, the CHEMISTRY 16 HOUR EXAM IV KEY April 23, 1998 Dr. Finklea Sme useful cnstants: ln(10) = 2.303, R = 8.314 J/ml@K, F = 96,00 cul/ml, 2.303RT/F = 0.0916 V at 2EC. Assume a temperature f 2EC unless tld therwise.

More information

1.0 Fundamentals. Fig Schematic diagram of an electrochemical cell.

1.0 Fundamentals. Fig Schematic diagram of an electrochemical cell. 1 1.0 Fundamentals This chapter intrduces the electrchemical cell, its cmpnents, basic definitins, and the prcesses that take place during electrlysis. The difference between thermdynamics and kinetics

More information

**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!**

**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 information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

Strategy Write the two half-cell reactions and identify the oxidation and reduction reactions. Pt H2 (g) H + (aq)

Strategy Write the two half-cell reactions and identify the oxidation and reduction reactions. Pt H2 (g) H + (aq) Slutins manual fr Burrws et.al. Chemistry 3 Third editin 16 Electrchemistry Answers t wrked examples WE 16.1 Drawing a cell diagram (n p. 739 in Chemistry 3 ) Draw a cell diagram fr an electrchemical cell

More information

Electrochemical Reactions

Electrochemical Reactions Electrchemical Reactins The first chemical prcess t prduce electricity was described in 1800 by the Italian scientist Alessandr Vlta, a frmer high schl teacher. Acting n the hypthesis that tw dissimilar

More information

Synchronous Motor V-Curves

Synchronous Motor V-Curves Synchrnus Mtr V-Curves 1 Synchrnus Mtr V-Curves Intrductin Synchrnus mtrs are used in applicatins such as textile mills where cnstant speed peratin is critical. Mst small synchrnus mtrs cntain squirrel

More information

Finding the Earth s magnetic field

Finding the Earth s magnetic field Labratry #6 Name: Phys 1402 - Dr. Cristian Bahrim Finding the Earth s magnetic field The thery accepted tday fr the rigin f the Earth s magnetic field is based n the mtin f the plasma (a miture f electrns

More information

MANIPAL INSTITUTE OF TECHNOLOGY

MANIPAL INSTITUTE OF TECHNOLOGY MANIPAL INSTITUTE OF TECHNOLOGY MANIPAL UNIVERSITY, MANIPAL SECOND SEMESTER B.Tech. END-SEMESTER EXAMINATION - MAY 013 SUBJECT: ENGINEERING PHYSICS (PHY101/10) Time: 3 Hrs. Max. Marks: 50 Nte: Answer any

More information

Lead/Lag Compensator Frequency Domain Properties and Design Methods

Lead/Lag Compensator Frequency Domain Properties and Design Methods Lectures 6 and 7 Lead/Lag Cmpensatr Frequency Dmain Prperties and Design Methds Definitin Cnsider the cmpensatr (ie cntrller Fr, it is called a lag cmpensatr s K Fr s, it is called a lead cmpensatr Ntatin

More information

Chapter 17 Free Energy and Thermodynamics

Chapter 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 information

(1.1) V which contains charges. If a charge density ρ, is defined as the limit of the ratio of the charge contained. 0, and if a force density f

(1.1) V which contains charges. If a charge density ρ, is defined as the limit of the ratio of the charge contained. 0, and if a force density f 1.0 Review f Electrmagnetic Field Thery Selected aspects f electrmagnetic thery are reviewed in this sectin, with emphasis n cncepts which are useful in understanding magnet design. Detailed, rigrus treatments

More information

Department of Economics, University of California, Davis Ecn 200C Micro Theory Professor Giacomo Bonanno. Insurance Markets

Department of Economics, University of California, Davis Ecn 200C Micro Theory Professor Giacomo Bonanno. Insurance Markets Department f Ecnmics, University f alifrnia, Davis Ecn 200 Micr Thery Prfessr Giacm Bnann Insurance Markets nsider an individual wh has an initial wealth f. ith sme prbability p he faces a lss f x (0

More information

Find 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? 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 information

LCAO APPROXIMATIONS OF ORGANIC Pi MO SYSTEMS The allyl system (cation, anion or radical).

LCAO 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 information

2.303 [ OH ] [ H ] CT

2.303 [ 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 information

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is Length L>>a,b,c Phys 232 Lab 4 Ch 17 Electric Ptential Difference Materials: whitebards & pens, cmputers with VPythn, pwer supply & cables, multimeter, crkbard, thumbtacks, individual prbes and jined prbes,

More information

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y=

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y= Intrductin t Vectrs I 21 Intrductin t Vectrs I 22 I. Determine the hrizntal and vertical cmpnents f the resultant vectr by cunting n the grid. X= y= J. Draw a mangle with hrizntal and vertical cmpnents

More information

Recitation 06. n total = P total V/RT = (0.425 atm * 10.5 L) / ( L atm mol -1 K -1 * 338 K) = mol

Recitation 06. n total = P total V/RT = (0.425 atm * 10.5 L) / ( L atm mol -1 K -1 * 338 K) = mol Recitatin 06 Mixture f Ideal Gases 1. Chapter 5: Exercise: 69 The partial pressure f CH 4 (g) is 0.175 atm and that f O 2 (g) is 0.250 atm in a mixture f the tw gases. a. What is the mle fractin f each

More information

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd

https://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 information

Chapters 29 and 35 Thermochemistry and Chemical Thermodynamics

Chapters 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 information

3. Mass Transfer with Chemical Reaction

3. Mass Transfer with Chemical Reaction 8 3. Mass Transfer with Chemical Reactin 3. Mass Transfer with Chemical Reactin In the fllwing, the fundamentals f desrptin with chemical reactin, which are applied t the prblem f CO 2 desrptin in ME distillers,

More information

Thermochemistry. The study of energy changes that occur during chemical : at constant volume ΔU = q V. no at constant pressure ΔH = q P

Thermochemistry. 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 information

Computational modeling techniques

Computational modeling techniques Cmputatinal mdeling techniques Lecture 11: Mdeling with systems f ODEs In Petre Department f IT, Ab Akademi http://www.users.ab.fi/ipetre/cmpmd/ Mdeling with differential equatins Mdeling strategy Fcus

More information

Solution to HW14 Fall-2002

Solution 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 information

Advanced Heat and Mass Transfer by Amir Faghri, Yuwen Zhang, and John R. Howell

Advanced Heat and Mass Transfer by Amir Faghri, Yuwen Zhang, and John R. Howell 6.5 Natural Cnvectin in Enclsures Enclsures are finite spaces bunded by walls and filled with fluid. Natural cnvectin in enclsures, als knwn as internal cnvectin, takes place in rms and buildings, furnaces,

More information

OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION

OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION U. S. FOREST SERVICE RESEARCH PAPER FPL 50 DECEMBER U. S. DEPARTMENT OF AGRICULTURE FOREST SERVICE FOREST PRODUCTS LABORATORY OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION

More information

Surface and Contact Stress

Surface and Contact Stress Surface and Cntact Stress The cncept f the frce is fundamental t mechanics and many imprtant prblems can be cast in terms f frces nly, fr example the prblems cnsidered in Chapter. Hwever, mre sphisticated

More information

Chem 116 POGIL Worksheet - Week 3 - Solutions Intermolecular Forces, Liquids, Solids, and Solutions

Chem 116 POGIL Worksheet - Week 3 - Solutions Intermolecular Forces, Liquids, Solids, and Solutions Chem 116 POGIL Wrksheet - Week 3 - Slutins Intermlecular Frces, Liquids, Slids, and Slutins Key Questins 1. Is the average kinetic energy f mlecules greater r lesser than the energy f intermlecular frces

More information

" 1 = # $H vap. Chapter 3 Problems

 1 = # $H vap. Chapter 3 Problems Chapter 3 rblems rblem At 1 atmsphere pure Ge melts at 1232 K and bils at 298 K. he triple pint ccurs at =8.4x1-8 atm. Estimate the heat f vaprizatin f Ge. he heat f vaprizatin is estimated frm the Clausius

More information

Hess Law - Enthalpy of Formation of Solid NH 4 Cl

Hess Law - Enthalpy of Formation of Solid NH 4 Cl Hess Law - Enthalpy f Frmatin f Slid NH 4 l NAME: OURSE: PERIOD: Prelab 1. Write and balance net inic equatins fr Reactin 2 and Reactin 3. Reactin 2: Reactin 3: 2. Shw that the alebraic sum f the balanced

More information

AP Statistics Practice Test Unit Three Exploring Relationships Between Variables. Name Period Date

AP Statistics Practice Test Unit Three Exploring Relationships Between Variables. Name Period Date AP Statistics Practice Test Unit Three Explring Relatinships Between Variables Name Perid Date True r False: 1. Crrelatin and regressin require explanatry and respnse variables. 1. 2. Every least squares

More information

arxiv:hep-ph/ v1 2 Jun 1995

arxiv:hep-ph/ v1 2 Jun 1995 WIS-95//May-PH The rati F n /F p frm the analysis f data using a new scaling variable S. A. Gurvitz arxiv:hep-ph/95063v1 Jun 1995 Department f Particle Physics, Weizmann Institute f Science, Rehvt 76100,

More information

Lyapunov Stability Stability of Equilibrium Points

Lyapunov Stability Stability of Equilibrium Points Lyapunv Stability Stability f Equilibrium Pints 1. Stability f Equilibrium Pints - Definitins In this sectin we cnsider n-th rder nnlinear time varying cntinuus time (C) systems f the frm x = f ( t, x),

More information

CHEM 103 Calorimetry and Hess s Law

CHEM 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 information

18:00-21:00, 15 April, 2016 (Total Score: 106 points)

18:00-21:00, 15 April, 2016 (Total Score: 106 points) Chemistry II Midterm Exam 18:00-21:00, 15 April, 2016 (Ttal Scre: 106 pints) R = 0.08206 atm L/ml K = 8.314 J/ ml K = 0.08314 bar L/ml K F = 96500 C/ml 1. Please answer the fllwing questins. (ttal 16%)

More information

Example 1. A robot has a mass of 60 kg. How much does that robot weigh sitting on the earth at sea level? Given: m. Find: Relationships: W

Example 1. A robot has a mass of 60 kg. How much does that robot weigh sitting on the earth at sea level? Given: m. Find: Relationships: W Eample 1 rbt has a mass f 60 kg. Hw much des that rbt weigh sitting n the earth at sea level? Given: m Rbt = 60 kg ind: Rbt Relatinships: Slutin: Rbt =589 N = mg, g = 9.81 m/s Rbt = mrbt g = 60 9. 81 =

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

AMERICAN PETROLEUM INSTITUTE API RP 581 RISK BASED INSPECTION BASE RESOURCE DOCUMENT BALLOT COVER PAGE

AMERICAN PETROLEUM INSTITUTE API RP 581 RISK BASED INSPECTION BASE RESOURCE DOCUMENT BALLOT COVER PAGE Ballt ID: Title: USING LIFE EXTENSION FACTOR (LEF) TO INCREASE BUNDLE INSPECTION INTERVAL Purpse: 1. Prvides a methd t increase a bundle s inspectin interval t accunt fr LEF. 2. Clarifies Table 8.6.5 Als

More information

A Chemical Reaction occurs when the of a substance changes.

A Chemical Reaction occurs when the of a substance changes. Perid: Unit 8 Chemical Reactin- Guided Ntes Chemical Reactins A Chemical Reactin ccurs when the f a substance changes. Chemical Reactin: ne r mre substances are changed int ne r mre new substances by the

More information

ABSORPTION OF GAMMA RAYS

ABSORPTION OF GAMMA RAYS 6 Sep 11 Gamma.1 ABSORPTIO OF GAMMA RAYS Gamma rays is the name given t high energy electrmagnetic radiatin riginating frm nuclear energy level transitins. (Typical wavelength, frequency, and energy ranges

More information

Lecture 24: Flory-Huggins Theory

Lecture 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 information

Copyright Paul Tobin 63

Copyright Paul Tobin 63 DT, Kevin t. lectric Circuit Thery DT87/ Tw-Prt netwrk parameters ummary We have seen previusly that a tw-prt netwrk has a pair f input terminals and a pair f utput terminals figure. These circuits were

More information

Investigating the lift force of a toy helicopter

Investigating the lift force of a toy helicopter Investigating the lift frce f a ty helicpter I am an active member f my schl s aernautics club. We ccasinally fly gas pwered mdel aircraft and we spend endless hurs at the realistic cntrls f a cmputer

More information

Hydrogen Permeability of Palladium Alloy Membrane at High Temperatures in the Impurity Gases Co-existing Atmospheres

Hydrogen Permeability of Palladium Alloy Membrane at High Temperatures in the Impurity Gases Co-existing Atmospheres WEC 6 / 3-6 une 006 Lyn France ydrgen Permeability f Palladium Ally Membrane at igh Temperatures in the Impurity Gases C-existing Atmspheres A. Unemt a,*, A. Kaimai a, T. Otake a, K. Yashir a, T. Kawada

More information

Topic 9 Nitrogen compounds Revision Notes

Topic 9 Nitrogen compounds Revision Notes Tpic 9 Nitrgen cmpunds Revisin Ntes 1) Amines - intrductin In primary amines, a nitrgen atm is attached t ne alkyl grup and tw hydrgen atms. The general frmula fr a primary amine is RNH2 The simplest amine

More information

State of matter characteristics solid Retains shape and volume

State of matter characteristics solid Retains shape and volume **See attachment fr graphs States f matter The fundamental difference between states f matter is the distance between particles Gas Ttal disrder Much empty space Particles have cmpletely freedm f mtin

More information

TOPPER SAMPLE PAPER 2 Class XII- Physics

TOPPER SAMPLE PAPER 2 Class XII- Physics TOPPER SAMPLE PAPER 2 Class XII- Physics Time: Three Hurs Maximum Marks: 70 General Instructins (a) All questins are cmpulsry. (b) There are 30 questins in ttal. Questins 1 t 8 carry ne mark each, questins

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

Weld Pool Oscillation during GTA Welding of Mild Steel

Weld Pool Oscillation during GTA Welding of Mild Steel Weld Pl scillatin during GT Welding f Mild Steel The scillatin behavir f the GT weld pl depends n the welding cnditins and can be used fr in-prcess cntrl f weld penetratin BY Y. H. XI ND G. DEN UDEN BSTRCT.

More information

Chem 115 POGIL Worksheet - Week 12 Molecular Shapes

Chem 115 POGIL Worksheet - Week 12 Molecular Shapes Chem 115 POGIL Wrksheet - Week 12 Mlecular Shapes Why? Cntrary t the impressin that Lewis structures may give, many mlecules have threedimensinal gemetries. These mlecular shapes are very imprtant t understanding

More information

Published in In Solid State Physics, eds. H. Ehrenreich and F. Spaepen, Elsevier, Amsterdam (2004), Vol. 59, I.

Published in In Solid State Physics, eds. H. Ehrenreich and F. Spaepen, Elsevier, Amsterdam (2004), Vol. 59, I. Published in In Slid State Physics, eds. H. Ehrenreich and F. Spaepen, Elsevier, Amsterdam (004), Vl. 59, 03-305 I. Intrductin Slid slutins f hydrgen in cmplex materials REINER KIRCHHEIM Institut für Materialphysik,

More information

Lecture 5: Equilibrium and Oscillations

Lecture 5: Equilibrium and Oscillations Lecture 5: Equilibrium and Oscillatins Energy and Mtin Last time, we fund that fr a system with energy cnserved, v = ± E U m ( ) ( ) One result we see immediately is that there is n slutin fr velcity if

More information

Lab 11 LRC Circuits, Damped Forced Harmonic Motion

Lab 11 LRC Circuits, Damped Forced Harmonic Motion Physics 6 ab ab 11 ircuits, Damped Frced Harmnic Mtin What Yu Need T Knw: The Physics OK this is basically a recap f what yu ve dne s far with circuits and circuits. Nw we get t put everything tgether

More information

Guide to Using the Rubric to Score the Caspase-3 Pre-Build Model for Science Olympiad National Competition

Guide to Using the Rubric to Score the Caspase-3 Pre-Build Model for Science Olympiad National Competition Guide t Using the Rubric t Scre the Caspase-3 Pre-Build Mdel fr Science Olympiad 2011-2012 Natinal Cmpetitin These instructins are t help the event supervisr and scring judges use the rubric develped by

More information

FIELD QUALITY IN ACCELERATOR MAGNETS

FIELD QUALITY IN ACCELERATOR MAGNETS FIELD QUALITY IN ACCELERATOR MAGNETS S. Russenschuck CERN, 1211 Geneva 23, Switzerland Abstract The field quality in the supercnducting magnets is expressed in terms f the cefficients f the Furier series

More information

rcrit (r C + t m ) 2 ] crit + t o crit The critical radius is evaluated at a given axial location z from the equation + (1 , and D = 4D = 555.

rcrit (r C + t m ) 2 ] crit + t o crit The critical radius is evaluated at a given axial location z from the equation + (1 , and D = 4D = 555. hapter 1 c) When the average bld velcity in the capillary is reduced by a factr f 10, the delivery f the slute t the capillary is liited s that the slute cncentratin after crit 0.018 c is equal t er at

More information

37 Maxwell s Equations

37 Maxwell s Equations 37 Maxwell s quatins In this chapter, the plan is t summarize much f what we knw abut electricity and magnetism in a manner similar t the way in which James Clerk Maxwell summarized what was knwn abut

More information

Intelligent Pharma- Chemical and Oil & Gas Division Page 1 of 7. Global Business Centre Ave SE, Calgary, AB T2G 0K6, AB.

Intelligent Pharma- Chemical and Oil & Gas Division Page 1 of 7. Global Business Centre Ave SE, Calgary, AB T2G 0K6, AB. Intelligent Pharma- Chemical and Oil & Gas Divisin Page 1 f 7 Intelligent Pharma Chemical and Oil & Gas Divisin Glbal Business Centre. 120 8 Ave SE, Calgary, AB T2G 0K6, AB. Canada Dr. Edelsys Cdrniu-Business

More information

Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10]

Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10] EECS 270, Winter 2017, Lecture 3 Page 1 f 6 Medium Scale Integrated (MSI) devices [Sectins 2.9 and 2.10] As we ve seen, it s smetimes nt reasnable t d all the design wrk at the gate-level smetimes we just

More information

The etching of InP in HCl solutions : a chemical mechanism Notten, P.H.L.

The etching of InP in HCl solutions : a chemical mechanism Notten, P.H.L. The etching f np in HCl slutins : a chemical mechanism Ntten, P.H.L. Published in: Jurnal f the lectrchemical Sciety DO: 1.11491.2115375 Published: 111984 Dcument Versin Publisher s PDF, als knwn as Versin

More information

Relationship Between Amplifier Settling Time and Pole-Zero Placements for Second-Order Systems *

Relationship Between Amplifier Settling Time and Pole-Zero Placements for Second-Order Systems * Relatinship Between Amplifier Settling Time and Ple-Zer Placements fr Secnd-Order Systems * Mark E. Schlarmann and Randall L. Geiger Iwa State University Electrical and Cmputer Engineering Department Ames,

More information

Types of Gear Pg xxx. Spur Gear Teeth is parallel to axis of rotation Can transmit power between parallel shaft The simplest form for gear

Types of Gear Pg xxx. Spur Gear Teeth is parallel to axis of rotation Can transmit power between parallel shaft The simplest form for gear [Pg / 2] Gears Objectives. 2. 3. 4. 5. Cmpute the frces exerted n gear teeth as they rtate and transmit pwer. Use apprpriate stress analyses t determine the relatinships amng the applied frces, the gemetry

More information

CALCULATION OF MASS TRANSFER IN MULTHWASE FLOW NSF, I/CJCRCCORROSION IN MULTIPHASE SYSTEMS CENTER DEPARTMENT OF CHEMICAL ENGINEERING

CALCULATION OF MASS TRANSFER IN MULTHWASE FLOW NSF, I/CJCRCCORROSION IN MULTIPHASE SYSTEMS CENTER DEPARTMENT OF CHEMICAL ENGINEERING Paper 5 Nm CALCULATION OF MASS TRANSFER IN MULTHWASE FLOW L. WANG, M. GOPAL NSF, I/CJCRCCORROSION IN MULTIPHASE SYSTEMS CENTER DEPARTMENT OF CHEMICAL ENGINEERING OHIO UNIVERSITY, ATHENS, OHIO, USA ABSTRACT

More information

Wagon Markings Guidelines

Wagon Markings Guidelines Versin / Status: V 3.0 / apprved Wagn Markings Guidelines 1. Intrductin Article 4, para 4 f the Safety Directive (2004/49/EG amended by 2008/110/EC) stipulates the respnsibility f each manufacturer, maintenance

More information

MECHANISM OF HYDROGEN EVOLUTION REACTION ON GOLD IN AQUEOUS SULFURIC ACID AND SODIUM HYDROXIDE*)

MECHANISM OF HYDROGEN EVOLUTION REACTION ON GOLD IN AQUEOUS SULFURIC ACID AND SODIUM HYDROXIDE*) Title MCHANISM OF HYDROGN VOLUTION RACTION ON GOLD IN SODIUM HYDROXID Authr(s)SASAKI, Takeshi; MATSUDA, Akiya CitatinJOURNAL OF TH RSARCH INSTITUT FOR CATALYSIS HOKK Issue Date 1982-03 Dc URL http://hdl.handle.net/2115/25119

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

A solution of certain Diophantine problems

A solution of certain Diophantine problems A slutin f certain Diphantine prblems Authr L. Euler* E7 Nvi Cmmentarii academiae scientiarum Petrplitanae 0, 1776, pp. 8-58 Opera Omnia: Series 1, Vlume 3, pp. 05-17 Reprinted in Cmmentat. arithm. 1,

More information

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC. PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a high-perfrmance vltage surce

More information

CHAPTER 4 DIAGNOSTICS FOR INFLUENTIAL OBSERVATIONS

CHAPTER 4 DIAGNOSTICS FOR INFLUENTIAL OBSERVATIONS CHAPTER 4 DIAGNOSTICS FOR INFLUENTIAL OBSERVATIONS 1 Influential bservatins are bservatins whse presence in the data can have a distrting effect n the parameter estimates and pssibly the entire analysis,

More information

/ / Chemistry. Chapter 1 Chemical Foundations

/ / Chemistry. Chapter 1 Chemical Foundations Name Chapter 1 Chemical Fundatins Advanced Chemistry / / Metric Cnversins All measurements in chemistry are made using the metric system. In using the metric system yu must be able t cnvert between ne

More information

13. PO TREATMENT OF DEPT (DISTORTIONLESS ENHANCEMENT POLARIZATION TRANSFER)

13. PO TREATMENT OF DEPT (DISTORTIONLESS ENHANCEMENT POLARIZATION TRANSFER) 94 Prduct Operatr Treatment 3. PO TREATMENT OF DEPT (DISTORTIONLESS ENHANCEMENT POLARIZATION TRANSFER) DEPT is a ne-dimensinal sequence used as a tl fr unambiguus identificatin f the CH, CH, and CH 3 peaks

More information

Kinetic Investigation of CO 2 Reforming of CH 4 over Ni Catalyst Deposited on Silicon Wafer Using Photoacoustic Spectroscopy

Kinetic Investigation of CO 2 Reforming of CH 4 over Ni Catalyst Deposited on Silicon Wafer Using Photoacoustic Spectroscopy Kinetics fr CO 2-CH 4 Reactin ver Ni/Si Wafer Bull. Krean Chem. Sc. 2010, Vl. 31, N. 5 1295 DOI 10.5012/bkcs.2010.31.5.1295 Kinetic Investigatin f CO 2 Refrming f CH 4 ver Ni Catalyst Depsited n Silicn

More information

ELECTRICAL FIELD EFFECTS ON CRYSTALLINE PERFECTION OF MBA-NP CRYSTALS BY MAPPING OF BRAGG-SURFACE DIFFRACTION

ELECTRICAL FIELD EFFECTS ON CRYSTALLINE PERFECTION OF MBA-NP CRYSTALS BY MAPPING OF BRAGG-SURFACE DIFFRACTION ELECTRICAL FIELD EFFECTS ON CRYSTALLINE PERFECTION OF MBA-NP CRYSTALS BY MAPPING OF BRAGG-SURFACE DIFFRACTION S.L. MORELHÃO*, L.H. AVANCI**, M.A. HAYASHI**, L.P. CARDOSO** *Dept f Applied Physics, University

More information

Section I5: Feedback in Operational Amplifiers

Section I5: Feedback in Operational Amplifiers Sectin I5: eedback in Operatinal mplifiers s discussed earlier, practical p-amps hae a high gain under dc (zer frequency) cnditins and the gain decreases as frequency increases. This frequency dependence

More information

Overview of the Molecule:

Overview of the Molecule: Prtein Mdeling Event Guide t Scring the Invitatinal Pre-Build Mdel Fr Science Olympiad 2016 Invitatinal Cmpetitin These instructins are t help the event supervisr and scring judges use the rubric develped

More information

PSU GISPOPSCI June 2011 Ordinary Least Squares & Spatial Linear Regression in GeoDa

PSU GISPOPSCI June 2011 Ordinary Least Squares & Spatial Linear Regression in GeoDa There are tw parts t this lab. The first is intended t demnstrate hw t request and interpret the spatial diagnstics f a standard OLS regressin mdel using GeDa. The diagnstics prvide infrmatin abut the

More information

Phy 213: General Physics III 6/14/2007 Chapter 28 Worksheet 1

Phy 213: General Physics III 6/14/2007 Chapter 28 Worksheet 1 Ph 13: General Phsics III 6/14/007 Chapter 8 Wrksheet 1 Magnetic Fields & Frce 1. A pint charge, q= 510 C and m=110-3 m kg, travels with a velcit f: v = 30 ˆ s i then enters a magnetic field: = 110 T ˆj.

More information

Name AP CHEM / / Chapter 8 Outline Bonding: General Concepts

Name AP CHEM / / Chapter 8 Outline Bonding: General Concepts Name AP CHEM / / Chapter 8 Outline Bnding: General Cncepts Types f Chemical Bnds Infrmatin abut the strength f a bnding interactin is btained by measuring the bnd energy, which is the energy required t

More information

PHOTOSYNTHESIS THE PRACTICALS 16 APRIL 2014

PHOTOSYNTHESIS THE PRACTICALS 16 APRIL 2014 PHOTOSYNTHESIS THE PRACTICALS 16 APRIL 2014 Lessn Descriptin In this lessn, we will: Review the prcess f phtsynthesis Study the starch test in leaves Study the varius practicals testing phtsynthesis Lk

More information

AP Statistics Notes Unit Two: The Normal Distributions

AP Statistics Notes Unit Two: The Normal Distributions AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).

More information

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) >

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) > Btstrap Methd > # Purpse: understand hw btstrap methd wrks > bs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(bs) > mean(bs) [1] 21.64625 > # estimate f lambda > lambda = 1/mean(bs);

More information

Phys102 Second Major-102 Zero Version Coordinator: Al-Shukri Thursday, May 05, 2011 Page: 1

Phys102 Second Major-102 Zero Version Coordinator: Al-Shukri Thursday, May 05, 2011 Page: 1 Crdinatr: Al-Shukri Thursday, May 05, 2011 Page: 1 1. Particles A and B are electrically neutral and are separated by 5.0 μm. If 5.0 x 10 6 electrns are transferred frm particle A t particle B, the magnitude

More information

Physics 2010 Motion with Constant Acceleration Experiment 1

Physics 2010 Motion with Constant Acceleration Experiment 1 . Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin

More information

Determining the Accuracy of Modal Parameter Estimation Methods

Determining the Accuracy of Modal Parameter Estimation Methods Determining the Accuracy f Mdal Parameter Estimatin Methds by Michael Lee Ph.D., P.E. & Mar Richardsn Ph.D. Structural Measurement Systems Milpitas, CA Abstract The mst cmmn type f mdal testing system

More information

L a) Calculate the maximum allowable midspan deflection (w o ) critical under which the beam will slide off its support.

L a) Calculate the maximum allowable midspan deflection (w o ) critical under which the beam will slide off its support. ecture 6 Mderately arge Deflectin Thery f Beams Prblem 6-1: Part A: The department f Highways and Public Wrks f the state f Califrnia is in the prcess f imprving the design f bridge verpasses t meet earthquake

More information