Electron and Ion Sources
|
|
- Hannah Day
- 5 years ago
- Views:
Transcription
1 Electrn and In Surces Layut Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Richard Scrivens, BE Dept, CERN. June
2 Electrn and In Surces Every acceleratr chain needs a surce! AWAKE LINAC4 2
3 Electrn and In Surces Every acceleratr chain needs a surce! Principles f the electrn guns, with therminic and pht cathdes Prtns Ins Principles f in surces, and the types used at CERN. 3
4 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 4
5 Electrn and In Surces Insulatr Electrn Surces - Basics Chamber E-field Beam Cathde (Electrn surce) HT Pwer Supply The classic Cathde Ray Experiment 5
6 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 6
7 Electrn and In Surces Electrns Therminic Emissin Electrns within a material are heated t energies abve that needed t escape the material. Cathde emissin is dminated by the Richardsn Dushmann equatin. Energy Electrns Energy difference between highest energy electrn and vacuum Wrk Functin f s Material 7
8 Electrn and In Surces Electrns Therminic Emissin (the maths) Cnducting materials cntain free electrns, wh fllw the Fermi-Dirac energy distributin inside the material. When a material is heated, the electrns energy distributin shifts frm the zer temperature Fermi distributin. 4 (2me ) n( E) de 3 h 3/ 2 E E E 1 exp kt Fermi E Fermi de T=0K T=1000K T=2000K These electrns can escape the material E-3 1E-4 1E-5 1E-6 1E-7 1E-8 ef wrk Electrn Energy (ev) Number f Free Electrns Free Electrns (arb units) 8
9 Electrn and In Surces Electrns Therminic Emissin (the maths) Therefre at high temperatures there is an ELECTRON CLOUD arund the material. The current density can then be fund by integrating the available electrns and their energy. J nev J AT 2 eu exp kt wrk This electrn current is available t be pulled ff the surface Richardsn-Dushmann equatin Rev. Md. Phys. 2, p382 (1930) A 4 2 emek Am K 3 h This factr A is nt achieved in practice (sme electrns are reflected frm the inner surface)
10 Element Melting Pint (C) A Acm -2 K -2 Electrn and In Surces Electrns Therminic Emissin U wrk ev W W Thriated Mixed Oxide Cesium Ta Cs/O/W 0.003* 0.72* LaB Emissin (Acm -2 ) E-3 Cs Cs/O/W LaB 6 Mixed Oxide Temperature (K) Element melting pint v wrk functin fr selected metals : Nature des nt prvide an ideal slutin Thriated W Ta W W Thriated W Mixed Oxide Caesium Ta Cs/O/W LaB6 *- A and wrk functin depend n the Cs/O layer Thickness and purity Wrk Functin (ev) 10
11 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 11
12 Electrn and In Surces Electrns Pht Emissin The energy f an electrn in a material can be increased abve the vacuum energy by absrbing phtns - phtelectric effect. E E a E U wrk U wrk E Fermi E GAP E Fermi METAL VACUUM SEMI-COND VACUUM c hc eu U wrk wrk Phtn Energy hc c E GAP hc E a E E GAP a U wrk (ev) c (nm) W Mg Cu E g +E a (ev) c (nm) GaAs Cs 2 Te ~ K 2 CsSb
13 Electrn and In Surces Electrns Pht Cathdes Quantum Efficiency = Electrns/phtn [ Q e () ] GaAs:Cs=17%, CsTe=12.4%, K2CsSb=29%, Cu~0.01%, Strngly wavelength dependent. c =590 nm 13
14 Electrn and In Surces Electrns Pht Cathdes METALS Lwer quantum efficiency requires high pwer lasers. But at high ptical pwers, a plasma is frmed. Very rbust and simple t use cathde material. SEMICONDUCTORS Can find materials ptical wavelengths with high quantum efficiency (cf Pht Cathde Tubes). Difficult t use in a high radiatin area f an electrn-gun (x-rays and ins cause decmpsitin and surface damage). Cs2Te (Cesium Telluride) High Quantum efficiency but needs UV lasers. 14
15 Electrn and In Surces CLIC Electrn Guns CTF3 has three electrn guns. 1. A therminic Gun fr the drive beam generatin 2. A test pht-emissin and RF gun as a test facility fr the drive beam. 3. A pht-emissin and RF gun fr the prbe beam. 15
16 Electrn and In Surces CLIC Drive Beam Therminic Gun Cathde Cathde System Test Stand The CLIC Drive Beam Electrn Gun is a Thermnic Gun. 16
17 Electrn and In Surces CTF3 Therminic Gun bunching the beam RF bunching The therminic gun prduces a 1.5us pulse f electrns. RF cavities are then used t prduce bunches, which can lead t transverse emittance grwth. 17
18 Electrn and In Surces CLEAR Electrn Gun CLEAR uses the PHIN Pht Cathde RF Gun. The CTF3 facility is nw cnverted t CLEAR as a facility fr users. It uses a pht cathde RF gun fr the electrn surce. 18
19 Electrn and In Surces CTF3 CALIFES prbe beam pht gun Nd:YLF 4x frequency -> UV Pht cathde The RF gun accelerates t 5MeV in ~15cm, which cmbats space charge frces. The shrt laser pulses (~6ps) generate shrt electrn bunches frm the CsTe pht cathde. The laser can pulse at a different harmnic f the RF system. 1.5GHz laser-electrn bunches are created, using RF 3GHz acceleratin. 19
20 Electrn and In Surces CTF3 CALIFES RF Pht injectr Electrn Current Electrn Energy Emittance Pulse 0.9 A 5-6 MeV 20 mm.mrad 5 Hz 20
21 Electrn and In Surces CTF3 Pht Emissin and yu need a laser 21
22 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 22
23 Electrn and In Surces In Surces - Basics An In Surce requires an in prductin regin and an in extractin system. In mst (but nt all) cases, in prductin ccurs in a plasma. A plasma r discharge chamber A hle t let the ins ut! Material input Pwer t create a plasma / discharge An extractin system 23
24 Electrn and In Surces In Surces - Basics 24
25 Electrn and In Surces In Surces - Basics Hydrgen plasma (fr prtns r H-) frm an RF surce. Hydrgen plasma emits a pink light frm an atmic transitin. 25
26 Plasma Prcesses Electrn and In Surces In Surces - Basics Electrn heating Plasma cnfinement (electric and magnetic) Cllisins (e-e, e-i, i-e, i-i + residual gas) Atmic prcesses (inisatin, excitatin, disassciatin, recmbinatin) Surface physics (catings + desrbtin, e-emissin) Mechanical prcesses (chamber heating+cling, ersin) In Surce Gal -> Optimise these prcesses t prduce the required in type and pulse parameters. AND maximize reliability, minimize emittance, pwer and material cnsumptin. 26
27 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Plasmas and their particle s mtin Prtns ECR In Surce Negative Ins Radiactive Ins 27
28 Electrn and In Surces The recipe fr ins In many in surces we use electrn impact inizatin. We need t create electrns, accelerate them t a few times the inizatin ptential f the material, and get them t interact with atms. Crss Sectin (cm 2 ) Inizatin Crss Sectin by Electrn Impact R. Rejub, B. G. Lindsay, and R. F. Stebbings, Phys. Rev. A 65, (2002) Except H: Y.-K. Kim and M.E. Rudd, Phys. Rev. A 50, 3954 (1994) H He Ne Ar Kr Xe Sme in surces will use pht-inizatin, r surface interactins Electrn Energy (ev) 28
29 Electrn and In Surces Cntrlling the ins In rder t cntrl the electrns and ins, we make use f magnetic and electric fields t alter their paths. 29
30 Electrn and In Surces Plasma Particle Mtin E B B 2mE c, c eb eb m v drift E B 2 B 30
31 Electrn and In Surces Plasma Particle Mtin B D ~ 2 c c ~ 2m p eb E 2 1 T 3/ 2 m m e p 1/ 2 ~ m T 1/ 2 p 1/ 2 cf: ppsite t classical energy velcity equatin! v 1/ 2 2E m 31
32 Electrn and In Surces ECR Surce Magnetic Mirrr y A frce acts in the ppsite directin t the Increasing B field x F2 F1 B2 B1 v Vdrift Energy is transferred frm Vdrift t Vecr v drift 2 m mv 2B 2 K B) 1/ 2 = magnetic mment K = ttal kinetic energy 32
33 Electrn and In Surces In Surce Gas Discharge Many surces wrk n the principle f a cathde ande gas discharge The gas can be a cmpund frm (e.g. Carbn frm CO) r frm a vapur (e.g. lead vapur frm an ven). Electrns frm a ht cathde are accelerated int the gas by a cathde t ande vltage, and inize the gas atms/mlecules with electrn impact inizatin. At lw gas pressures, mst electrns d nt cause inizatin and the in density remains lw. At higher pressures, the electrns cause inizatin, which als leads t new electrns t be accelerated and cause inizatin. 33
34 Electrn and In Surces By applying an magnetic field, electrns can have lnger path lengths inside the surce, and the chance f inizatin is increased. A E Plasmatrn C A E Duplasmatrn Magnetrn B C C B A E C: Cathde A: Ande E: Extractin Electrde B: Magnetic field : Plasma : Beam : Magnetic steel C E Penning B A C 34
35 In Surces at CERN. Electrn and In Surces In Surces - Basics Linac2 Prtns - Duplasmatrn Linac3 Ins (Pb, O, Ar) ECR ISOLDE Radiactive ins Surface, laser, Electrn Bmbardment. Linac4 Negative Hydrgen RF 35
36 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 36
37 Electrn and In Surces In Surce Duplasmatrn Linac2 Slenid Cathde Ande Prtn Current Prtn Energy Emittance Pulse fr LHC 200 ma 90 kev ~0.4 mm.mrad 1 Hz Gas feed Expansin Cup # prtns / pulse 2.5x10 13 # LHC bunches ~24 * * Creatin f LHC bunches is a cmplicated prcess, this is an example fr 50ns LHC bunches 37
38 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 38
39 Electrn and In Surces In Surce ECR Linac3 Electrn Cycltrn Resnance In Surce (ECR) Fr a given magnetic field, nn-relativistic electrns have a fixed revlutin frequency. The plasma electrns will absrb energy at this frequency (just as particles in a cycltrn). If cnfined in a magnetic bttle, the electrns can be heated t the kev and even MeV range. Ins als trapped by the charge f the electrns, but fr milli-secnds allwing mutliple inisatin. The slenid magnetic field still allws lsses n axis these ins make the beam. eb c m f [ GHz] 28 B[T] c Electrn rbit ½ RF perid later Frf Frf 39
40 Electrn and In Surces In Surce ECR CERN ECR4 Built by GANIL 40
41 Electrn and In Surces In Surce ECR High charge states N filament is needed, greatly increasing the surce lifetime. Singly, multiply and highly charged ins can be prduced by these surces (althugh the surce cnstructin will influence this). A A+ A2+ A3+ Stepwise inisatin. Current in Fararday cup 1 (µa) Scan f Bending magnet Current -11/04/03 -JCh Pb26+ & O Pb27+ Pb O3+ 20 Pb Bending Magnet Current (A) Gaseus ins are easily made. Metallic ins cme frm an OVEN r frm a cmpund gas (e.g UF6 fr uranium). 14.5GHz Frward Pwer In Current (In21+) In the afterglw mde, the in intensity increases AFTER switching ff the micr-waves Time (ms) 41
42 Electrn and In Surces In Surce ECR High charge states + industry slutins Plasma density increases with frequency and assciated magnetic field. Example: VENUS surce and Berkeley, Ca, uses supercnducting slenid and sextaple magnets. Industry can nw prvide turnkey slutins fr ECR ins surces, usually using permanent magnets. 42
43 Electrn and In Surces Lead (Pb) is evapurated frm a micr ven in the surce 43
44 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 44
45 Electrn and In Surces In Surces Negative Ins Negative in surces allw: Charge exchange injectin int synchrtrns. Charge exchange extractin frm cycltrns. Tandem acceleratrs. Electrn Affinity (ev) H He <0 Li Be <0 B C N <0 O F The bnding energy fr an electrn nt an atm is the Electrn Affinity. Ea < 0 fr Nble Gases Large Ea fr Halgens Tw categries f negative in surces Surface an atm n a surface can be desrbed with an extra electrn (whse wave-functin verlapped the atm). Vlume Thrugh cllisins, e-capture and mlecular dissciatin, negative ins can be frmed. AB + e A- + B A + B A- + B+ AB* + e A- + B A+ + B A- + B2+ 45
46 Electrn and In Surces H- Surface In Prductin Surface Cs e- H- H+, H 2 + e- Prtns frm the plasma are accelerated t the cathde, which has a cating f caesium. The prtns desrbed frm the lw wrk functin surface, with an additinal electrn. The plasma must nt be t ht, t avid inising the H-. Penning, Magnetrn, etc, surces prduce H this way. 46
47 Electrn and In Surces In Surces Negative Ins Linac4 Plasma is created using 2MHz RF in a slenid cil. A surface near the extractin is cated with cesium, evaprated frm an ven at the back f the surce. The plasma prtns strike the cesium surface and H- are emitted. Plt shws the beam current increasing as cesium is added t the Linac4 in surce. Estimatin is a few tens f nm f Cs surface cating. 47
48 Electrn and In Surces In Surces Negative Ins Linac4 Electrns (yellw) are extracted alng with negative ins (red). Electrns can be separated with a diple B field in extractin. In the Linac4 RF surce (withut cesium) >1A f electrns are extracted. -45kV -25kV -35kV 0kV 48
49 Electrn and In Surces Electrn Surces Therminic Pht-Cathdes In Surces Particle mtin in plasmas Prtns ECR In Surce Negative Ins Radiactive Ins 49
50 Electrn and In Surces In Surce Radiactive Ins ISOLDE A gas/vapur f new istpes is prduced frm 1.4GeV prtns nt a target. The in surce is used t inize the gas. The ins will be mass selected in an in spectrmeter. An imprtant gal is t have a high cnversin rate f the desired gas t ins. The surces must be rbust with the extreme radiatin envirnment. Fr example minimize use f any rganic cmpunds. The surces can help t reduce the cntaminatin (i.e. stable/ther istpes f the same mass) thrugh sme selective prcess (e.g. using lasers t selectively inize). 50
51 Electrn and In Surces Fr surces, all we have seen s far is the in generatin. Yu still have t add the high vltage systems, pumping, cling, pwer cnvertrs, cntrls 51
52 Electrn and In Surces Summary Electrn Surce Summary Therminic Surce. Sme thermal electrns are abve the Wrk-Functin. Use lw wrk-functin r high melting pint materials t btain the mst electrns Pht-cathdes Use phtns abve the wrk-functin r E g +E a. Metals Stable but have a lw quantum efficiency Semicnductrs high Q, but can be unstable and degrade in use. In Surce Summary Plasmas are a cmmn prductin methd fr ins. There are many ways t prduce, heat and cnfine a plasma, leading t many surce types. CERN already uses quite an array f these types. 52
53 Electrn and In Surces Further Reading Handbk f In Surce, B. Wlf, Bca Ratn, FL: CRC Press, 1995 In Surces, Zhang Hua Shun, Berlin: Springer, The Physics and Technlgy f In Surce, I. G. Brwn, New Yrk, NY: Wiley, 1989 Large In Beams: Fundamentals f Generatin and Prpagatin, T. A.Frrester, New Yrk, NY: Wiley, 1988 CAS 5 th General Schl (CERN ) and Cycltrns, Linacs (CERN ) 53
54 Electrn and In Surces Thank yu fr yur attentin. 54
55 Electrn and In Surces A: Richardsn-Dushman cnstant B: Magnetic field D: Diffusin rate E: Particle Kinetic Energy E: Electric field J: Current density m: Particle Mass n: Particle density T: Temperature U,V: Vltage v: Particle velcity v drift : Particle drift velcity b: Relativistic beta g: Relativistic gamma f s : Wrk Functin (Vltage) n: Cllisin Frequency c : Cycltrn Radius c : Cycltrn Frequency 55
11. DUAL NATURE OF RADIATION AND MATTER
11. DUAL NATURE OF RADIATION AND MATTER Very shrt answer and shrt answer questins 1. Define wrk functin f a metal? The minimum energy required fr an electrn t escape frm the metal surface is called the
More informationTo get you thinking...
T get yu thinking... 1.) What is an element? Give at least 4 examples f elements. 2.) What is the atmic number f hydrgen? What des a neutral hydrgen atm cnsist f? Describe its "mtin". 3.) Hw des an atm
More informationd sinθ = mλ Interference and diffraction double slit or diffraction grating d sinθ = mλ d sinθ is the path difference x (small angle approximation)
Wave Optics Wave prperties f light The clrs in a rainbw are ROY G. BIV (Red, range, yellw, green, blue, indig, vilet). White light is a cmbinatin f all clrs Black is the absence f light Wavelength determines
More informationEdexcel GCSE Physics
Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns
More informationTOPPER 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 informationMeasurement of Radial Loss and Lifetime. of Microwave Plasma in the Octupo1e. J. C. Sprott PLP 165. Plasma Studies. University of Wisconsin DEC 1967
Measurement f Radial Lss and Lifetime f Micrwave Plasma in the Octup1e J. C. Sprtt PLP 165 Plasma Studies University f Wiscnsin DEC 1967 1 The number f particles in the tridal ctuple was measured as a
More informationChapter 9: Quantization of Light
Chapter 9: Quantizatin Light 9.1 Planck s Quantum Thery 9.1.1 Distinguish between Planck s quantum thery and classical thery energy The undatin the Planck s quantum thery is a thery black bdy radiatin.
More informationName: Period: Date: ATOMIC STRUCTURE NOTES ADVANCED CHEMISTRY
Name: Perid: Date: ATOMIC STRUCTURE NOTES ADVANCED CHEMISTRY Directins: This packet will serve as yur ntes fr this chapter. Fllw alng with the PwerPint presentatin and fill in the missing infrmatin. Imprtant
More informationElectric Current and Resistance
Electric Current and Resistance Electric Current Electric current is the rate f flw f charge thrugh sme regin f space The SI unit f current is the ampere (A) 1 A = 1 C / s The symbl fr electric current
More information1. Write a balanced nuclear equation for each decay process indicated. a. The isotope Th-234 decays by an alpha emission.
1. Write a balanced nuclear equatin fr each decay prcess indicated. a. The istpe Th-234 decays by an alpha emissin. b. The istpe Fe-59 decays by a beta emissin. c. The istpe Tc-99 decays by a gamma emissin.
More informationMANIPAL 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 informationCHE 105 EXAMINATION III November 11, 2010
CHE 105 EXAMINATION III Nvember 11, 2010 University f Kentucky Department f Chemistry READ THESE DIRECTIONS CAREFULLY BEFORE STARTING THE EXAMINATION! It is extremely imprtant that yu fill in the answer
More informationCBSE Board Class XII Physics Set 1 Board Paper 2008 (Solution)
CBSE Bard Class XII Physics Set 1 Bard Paper 2008 (Slutin) 1. The frce is given by F qv B This frce is at right angles t &. 2. Micrwaves. It is used in radar & cmmunicatin purpses. 3. Or As m e e m S,
More informationPhys102 Final-061 Zero Version Coordinator: Nasser Wednesday, January 24, 2007 Page: 1
Crdinatr: Nasser Wednesday, January 4, 007 Page: 1 Q1. Tw transmitters, S 1 and S shwn in the figure, emit identical sund waves f wavelength λ. The transmitters are separated by a distance λ /. Cnsider
More informationChem 115 POGIL Worksheet - Week 8 Thermochemistry (Continued), Electromagnetic Radiation, and Line Spectra
Chem 115 POGIL Wrksheet - Week 8 Thermchemistry (Cntinued), Electrmagnetic Radiatin, and Line Spectra Why? As we saw last week, enthalpy and internal energy are state functins, which means that the sum
More informationChapter 23 Electromagnetic Waves Lecture 14
Chapter 23 Electrmagnetic Waves Lecture 14 23.1 The Discvery f Electrmagnetic Waves 23.2 Prperties f Electrmagnetic Waves 23.3 Electrmagnetic Waves Carry Energy and Mmentum 23.4 Types f Electrmagnetic
More informationAQA GCSE Physics. Topic 4: Atomic Structure. Notes. (Content in bold is for Higher Tier only)
AQA GCSE Physics Tpic 4: Atmic Structure Ntes (Cntent in bld is fr Higher Tier nly) Atmic Structure Psitively charged nucleus (which cntains neutrns and prtns) surrunded by negatively charged electrns.
More informationMultipole Vortices in an ECR Plasma
J. Plasma Fusin Res. SERIES, Vl. 4 (2001) 363-36'l Multiple Vrtices in an ECR Plasma OKAMOTO Atsushi*, ISHIHARA Tatsuz, NAGAOKA Kenichi, YOSHIMURA Shinjit and TANAKA Masayshi y.r Nagya University, Nagya
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 informationQ1. In figure 1, Q = 60 µc, q = 20 µc, a = 3.0 m, and b = 4.0 m. Calculate the total electric force on q due to the other 2 charges.
Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 1 Q1. In figure 1, Q = 60 µc, q = 0 µc, a = 3.0 m, and b = 4.0 m. Calculate the ttal electric frce n q due t the ther
More informationLecture 19: Electronic Contributions to OCV in Batteries and Solar Cells. Notes by MIT Student (and MZB) March 18, 2009
Lecture 19: lectrnic Cntributins t OCV in Batteries and Slar Cells Ntes by MIT Student (and MZB) March 18, 2009 -In many situatins the µ e cnstant fr metal electrdes, this due t the abundance and freedm
More informationSodium D-line doublet. Lectures 5-6: Magnetic dipole moments. Orbital magnetic dipole moments. Orbital magnetic dipole moments
Lectures 5-6: Magnetic diple mments Sdium D-line dublet Orbital diple mments. Orbital precessin. Grtrian diagram fr dublet states f neutral sdium shwing permitted transitins, including Na D-line transitin
More informationQ1. A) 48 m/s B) 17 m/s C) 22 m/s D) 66 m/s E) 53 m/s. Ans: = 84.0 Q2.
Phys10 Final-133 Zer Versin Crdinatr: A.A.Naqvi Wednesday, August 13, 014 Page: 1 Q1. A string, f length 0.75 m and fixed at bth ends, is vibrating in its fundamental mde. The maximum transverse speed
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 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 informationPhys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1
Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity
More informationName: Period: Date: PERIODIC TABLE NOTES ADVANCED CHEMISTRY
Name: Perid: Date: PERIODIC TABLE NOTES ADVANCED CHEMISTRY Directins: This packet will serve as yur ntes fr this chapter. Fllw alng with the PwerPint presentatin and fill in the missing infrmatin. Imprtant
More informationLecture 18 Title : Fine Structure : multi-electron atoms
Lecture 8 Title : Fine Structure : multi-electrn atms Page-0 In this lecture we will cncentrate n the fine structure f the multielectrn atms. As discussed in the previus lecture that the fine structure
More informationPhy 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 informationELECTRON CYCLOTRON HEATING OF AN ANISOTROPIC PLASMA. December 4, PLP No. 322
ELECTRON CYCLOTRON HEATING OF AN ANISOTROPIC PLASMA by J. C. SPROTT December 4, 1969 PLP N. 3 These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated. They are fr private
More informationName: Period: Date: PERIODIC TABLE NOTES HONORS CHEMISTRY
Name: Perid: Date: PERIODIC TABLE NOTES HONORS CHEMISTRY Directins: This packet will serve as yur ntes fr this chapter. Fllw alng with the PwerPint presentatin and fill in the missing infrmatin. Imprtant
More informationThe Solar Interior - The Standard Model. Topics to be covered: o Solar interior. Radiative Zone. Convective Zone
Lecture 1 - The Slar Interir Tpics t be cvered: Slar interir Cre Radiative zne Cnvectin zne Lecture 1 - The Slar Interir The Slar Interir - The Standard Mdel Cre Energy generated by nuclear fusin (the
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 informationFIELD 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 informationCollective effects in Beam Dynamics
Cllective effects in Beam Dynamics Givanni Ruml, Hannes Bartsik and Kevin Li USPAS, ne-week curse, 19-24 January, 2015 http://uspas.fnal.gv/index.shtml January 2015 USPAS lectures 2 Particle beam Nminal
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 informationLecture 02 CSE 40547/60547 Computing at the Nanoscale
PN Junctin Ntes: Lecture 02 CSE 40547/60547 Cmputing at the Nanscale Letʼs start with a (very) shrt review f semi-cnducting materials: - N-type material: Obtained by adding impurity with 5 valence elements
More informationPhysics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018
Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and
More informationOTHER USES OF THE ICRH COUPL ING CO IL. November 1975
OTHER USES OF THE ICRH COUPL ING CO IL J. C. Sprtt Nvember 1975 -I,," PLP 663 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated.
More informationMatter Content from State Frameworks and Other State Documents
Atms and Mlecules Mlecules are made f smaller entities (atms) which are bnded tgether. Therefre mlecules are divisible. Miscnceptin: Element and atm are synnyms. Prper cnceptin: Elements are atms with
More informationThe Jefferson Lab 200 kv Inverted Gun: Lifetime Measurements Using Strained Superlattice GaAs and K 2 CsSb Photocathodes
The Jeffersn Lab 200 kv Inverted Gun: Lifetime Measurements Using Strained Superlattice GaAs and K 2 CsSb Phtcathdes R. Suleiman, P. Adderley, M. BastaniNejad, J. Clark, S. Cvert, J. Grames, J. Hansknecht,
More informationABSORPTION 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 informationDispersion Ref Feynman Vol-I, Ch-31
Dispersin Ref Feynman Vl-I, Ch-31 n () = 1 + q N q /m 2 2 2 0 i ( b/m) We have learned that the index f refractin is nt just a simple number, but a quantity that varies with the frequency f the light.
More informationTherefore the atomic diameter is 5 orders of magnitude ( times) greater than the m
Orders f Magnitude Pwers f 10 are referred t as rders f magnitude e.g. smething a thusand times larger (10 3 ) is three rders f magnitude bigger. A prtn has a diameter f the rder ~10-15 m The diameter
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 informationInterference is when two (or more) sets of waves meet and combine to produce a new pattern.
Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme
More informationChapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance
summary C = ε A / d = πε L / ln( b / a ) ab C = 4πε 4πε a b a b >> a Chapter 16 Electric Energy and Capacitance Capacitance Q=CV Parallel plates, caxial cables, Earth Series and parallel 1 1 1 = + +..
More informationKinetics of Particles. Chapter 3
Kinetics f Particles Chapter 3 1 Kinetics f Particles It is the study f the relatins existing between the frces acting n bdy, the mass f the bdy, and the mtin f the bdy. It is the study f the relatin between
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 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 informationELECTROSTATIC FIELDS IN MATERIAL MEDIA
MF LCTROSTATIC FILDS IN MATRIAL MDIA 3/4/07 LCTURS Materials media may be classified in terms f their cnductivity σ (S/m) as: Cnductrs The cnductivity usually depends n temperature and frequency A material
More informationChapter 30. Inductance
Chapter 30 nductance 30. Self-nductance Cnsider a lp f wire at rest. f we establish a current arund the lp, it will prduce a magnetic field. Sme f the magnetic field lines pass thrugh the lp. et! be the
More informationModule 4: General Formulation of Electric Circuit Theory
Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated
More informationQ1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?
Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)
More informationNGSS High School Physics Domain Model
NGSS High Schl Physics Dmain Mdel Mtin and Stability: Frces and Interactins HS-PS2-1: Students will be able t analyze data t supprt the claim that Newtn s secnd law f mtin describes the mathematical relatinship
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 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 informationEE247B/ME218: Introduction to MEMS Design Lecture 7m1: Lithography, Etching, & Doping CTN 2/6/18
EE247B/ME218 Intrductin t MEMS Design Lecture 7m1 Lithgraphy, Etching, & Dping Dping f Semicnductrs Semicnductr Dping Semicnductrs are nt intrinsically cnductive T make them cnductive, replace silicn atms
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 informationCHEMISTRY 1903 SHI-LING KOU 2011
CHEMISTRY 1903 SHI-LING KOU 2011 THE ORIGINS OF MODERN CHEMISTRY Evlutin f the atmic thery Daltn s Atmic Thery (1808) Matter cnsists f indivisible particles (atms) Atms f ne element can t be cnverted int
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 informationLecture 13: Electrochemical Equilibria
3.012 Fundamentals f Materials Science Fall 2005 Lecture 13: 10.21.05 Electrchemical Equilibria Tday: LAST TIME...2 An example calculatin...3 THE ELECTROCHEMICAL POTENTIAL...4 Electrstatic energy cntributins
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 informationBIOLOGY 101. CHAPTER 10: Photosynthesis: Process that Feeds the Biosphere
BIOLOGY 101 CHAPTER 10: Phtsynthesis: Prcess that Feeds the Bisphere Phtsynthesis: Prcess that Feeds the Bisphere CONCEPTS: 10.1 Phtsynthesis cnverts light energy t the chemical energy f fd 10.2 The light
More informationFebruary 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 information800 Adenine Guanine. Gate Voltage (V)
I. SUPPLEMENTARY FIGURES Surce-Drain Current (µa) 14 Thymine cverage (M.L.) 135 13 125 12 6 5 4 3.26.48.71.85 2.8-4 -2 2 4 7 Cytsine cverage (M.L.).6.2.5 1.1 3 6 8 Adenine cverage (M.L.).4.8 6 4 2 55 Guanine
More informationLab 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 informationLecture 15. Physics 1202: Lecture 15 Today s Agenda
Physics 1202: Lecture 15 Tday s Agenda Annuncements: Team prblems tday Team 7: Cailin Catarina, Matthew Canapetti, Kervin Vincent Team 8: Natalie Kasir, Adam Antunes, Quincy Alexander Team 9: Garrett Schlegel,
More informationChapter 5: Diffusion (2)
Chapter 5: Diffusin () ISSUES TO ADDRESS... Nn-steady state diffusin and Fick s nd Law Hw des diffusin depend n structure? Chapter 5-1 Class Eercise (1) Put a sugar cube inside a cup f pure water, rughly
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 informationW V. (d) W. (3) Which one is used to determine the internal resistance of a cell
[CHAPT-13 CUNT LCTICITY] www.prfaminz.cm MULTIPL CHOIC QUSTIONS (1) In carbn resistr the gld band indicates tlerance f (a) 5% (b) % 0% (d) 10% () The wrk dne t mve a psitive charge frm ne pint t anther
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 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 informationSections 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 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 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 informationQCE Chemistry. Year 2015 Mark 0.00 Pages 20 Published Jan 31, Chemistry: Revision Notes. By Sophie (1 ATAR)
QCE Chemistry Year 2015 Mark 0.00 Pages 20 Published Jan 31, 2017 11 Chemistry: Revisin Ntes By Sphie (1 ATAR) Pwered by TCPDF (www.tcpdf.rg) Yur ntes authr, Sphie. Sphie achieved an ATAR f 1 in 2016 while
More informationPHYS College Physics II Final Examination Review
PHYS 1402- Cllege Physics II Final Examinatin Review The final examinatin will be based n the fllwing Chapters/Sectins and will cnsist f tw parts. Part 1, cnsisting f Multiple Chice questins, will accunt
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 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 informationGeneral Chemistry II, Unit I: Study Guide (part I)
1 General Chemistry II, Unit I: Study Guide (part I) CDS Chapter 14: Physical Prperties f Gases Observatin 1: Pressure- Vlume Measurements n Gases The spring f air is measured as pressure, defined as the
More informationShort Introduction to CLIC and CTF3, Technologies for Future Linear Colliders
Short Introduction to CLIC and CTF3, Technologies for Future Linear Colliders Explanation of the Basic Principles and Goals Visit to the CTF3 Installation Roger Ruber Collider History p p hadron collider
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 informationPOLARISATION VISUAL PHYSICS ONLINE. View video on polarisation of light
VISUAL PHYSICS ONLINE MODULE 7 NATURE OF LIGHT POLARISATION View vide n plarisatin f light While all the experimental evidence s far that supprts the wave nature f light, nne f it tells us whether light
More informationGAUSS' LAW E. A. surface
Prf. Dr. I. M. A. Nasser GAUSS' LAW 08.11.017 GAUSS' LAW Intrductin: The electric field f a given charge distributin can in principle be calculated using Culmb's law. The examples discussed in electric
More informationPHY 2054C Review guide Fall 2018 Chapter 17 Wave optics
PHY 2054C Review guide Fall 2018 Chapter 17 Wave ptics Light acts as a wave, ray, particle, and phtn. Refractive index n = c/v Light waves travel with speed c in a vacuum they slw dwn when they pass thrugh
More informationBeam Expander Basics: Not All Spots Are Created Equal
EARNING UNERSTANING INTROUCING APPYING Beam Expander Basics: Nt All Spts Are Created Equal A P P I C A T I O N N O T E S BEAM EXPANERS A laser beam expander is designed t increase the diameter f a cllimated
More informationLecture 23: Lattice Models of Materials; Modeling Polymer Solutions
Lecture 23: 12.05.05 Lattice Mdels f Materials; Mdeling Plymer Slutins Tday: LAST TIME...2 The Bltzmann Factr and Partitin Functin: systems at cnstant temperature...2 A better mdel: The Debye slid...3
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 informationSynchronous 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 informationPhys102 First Major-122 Zero Version Coordinator: Sunaidi Wednesday, March 06, 2013 Page: 1
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 1 Q1. An 8.00 m lng wire with a mass f 10.0 g is under a tensin f 25.0 N. A transverse wave fr which the wavelength is 0.100 m, and the amplitude is 3.70
More informationScintillation and Cherenkov light detection with a 3 mm 3mm Silicon PhotoMultiplier
Scintillatin and Cherenkv light detectin with a 3 mm 3mm Silicn PhtMultiplier Presented by P. S. Marrcchesia, M. G. Bagliesia, K. Batkva, G. Bigngiaria, M. Y. Kimb, T. Lmtadzeb, P. Maestra, F. Mrsanib,
More informationThree charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).
Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)
More informationUNIT 5: ATOMIC THEORY & THE PERIODIC TABLE CHEMISTRY 215, DUFFEY, CHAPTER 4 & SECTION 6.1
UNIT 5: ATOMIC THEORY & THE PERIODIC TABLE CHEMISTRY 215, DUFFEY, CHAPTER 4 & SECTION 6.1 BIG IDEAS (we will tuch n small parts f Chp.5 as well) 4.1 Early Ideas Abut Matter 4.2 Defining the Atm 4.3 Hw
More informationMidterm Review Notes - Unit 1 Intro
Midterm Review Ntes - Unit 1 Intr 3 States f Matter Slid definite shape, definite vlume, very little mlecular mvement Liquid definite vlume, takes shape f cntainer, mlecules mve faster Gas des nt have
More informationInformation for Physics 1201 Midterm I Wednesday, February 20
My lecture slides are psted at http://www.physics.hi-state.edu/~humanic/ Infrmatin fr Physics 1201 Midterm I Wednesday, February 20 1) Frmat: 10 multiple chice questins (each wrth 5 pints) and tw shw-wrk
More informationName 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 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 informationPhysics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1
Physics 1 Lecture 1 Tday's Cncept: Magnetic Frce n mving charges F qv Physics 1 Lecture 1, Slide 1 Music Wh is the Artist? A) The Meters ) The Neville rthers C) Trmbne Shrty D) Michael Franti E) Radiatrs
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