Chapter 3 Chemical Equations and Stoichiometry

Size: px
Start display at page:

Download "Chapter 3 Chemical Equations and Stoichiometry"

Transcription

1 Chptr Chmicl Equtions nd Stoichiomtry Homwork (This is VERY importnt chptr) Chptr 27, 29, 1, 9, 5, 7, 9, 55, 57, 65, 71, 75, 77, 81, 87, 91, 95, 99, 101, 111, 117, Introduction Up until now w hv n tlking out compounds nd lmnts nd how to writ nd undrstnd wht thy mn. Chmistry in mor thn just tht. Whn w think o chmistry, w think o chmicl rctions. In ordr to undrstnd chmicl rction, w nd to study stoichiomtry nd th chmicl qution. Stoichiomtry: th quntittiv study o chmicl rctions. Chmicl qution: writtn rprsnttion o chmicl rction, showing th rctnts nd products, thir physicl stts, nd th dirction in Th Mol Whn two chmicls rct with ch othr, w wnt to know how mny toms or molculs o ch r usd do tht ormul o th product cn stlishd. This mns w nd wy to count toms, ut HOW? Th solution to this prolm is to din convnint unit o mttr tht contins know numr o prticls. 1 mols prticls This vlu is commonly known hs Avogdro s numr. Rmmr tht on mol lwys contins th sm numr o prticls, no mttr wht th sustnc. which th rction procds. Molr Th mss o on mol o toms o ny lmnt is th molr mss, which is numriclly qul to th tomic mss, ut in grms. Exmpl: 1 mol o sodium wighs g This not only tru or toms, ut lso or molculs, ut w us th molculr mss instd o th tomic mss. To dtrmin th molculr mss o molcul, w dd up th tomic msss o th lmnts tht mk up th molcul. Exmpl: CCl W hv 1 cron nd chlorins g/mol + (5.527 g/mol) g/mol Thror, i w hv 1 mol o CCl it would wigh Molculs, Compounds, nd Th Mol Thinking out mols with rspct to molculs nd compounds is not ll tht dirnt thn with toms. I I hv 1 mol o CH : 1. How mny CH molculs do I hv? I hv molculs o CH 2. How much dos it wigh? g. How mny cron toms do I hv? How mny hydrogn toms do I hv? g. 5 6

2 MOLES r th CENTER prticls ) Multiply y Avogdro s Numr ) Divid y Avogdro s Numr c) Multiply y th molculr wight o X d) Divid y th molculr wight o X mols o X c d Vol. o n idl STP ) Multiply y 22. L / mol ) Divid y 22. L / mol 7 Wht is th mss, in grms, o 1.5 mols o silicon? g How mny mols r rprsntd y 5 g o sulur? How mny toms? 1.2 mols toms EXAMPLES At irst ths concpts r diicult to undrstnd, ut working prolms is th st wy to com comortl with ths concpts. Clcult th molr mss o CCO (limston) g/mol I you hv 5 g o CCO, how mny mols do you hv? How mny molculs? How mny toms o oxygn?.5 mols molculs tom o O 8 Prcnt Composition Empiricl nd Molculr Formuls Prcnt Composition Th prcntg o th mss o compound rprsntd y ch o its constitunt lmnts. According to th lw o constnt composition, ny smpl o pur compound lwys consists o th sm lmnts comind in th sm proportion y mss. Exmpl: Wht is th prcnt composition o N nd H in mmoni (NH )? Prcnt N in NH o N in 1 mol o NH 1.01 g N 100 o 1 mol o NH 17.0 g NH 82.27% Prcnt H in NH o H in 1 mol o NH (1.008) g H 100 o 1 mol o NH 17.0 gnh 17.76% 9 W hv discussd molculr ormuls Empiricl ormuls A molculr ormul showing th simplst possil rtio o toms in molcul. From prcnt compositions w cn dtrmin mpiricl nd molculr ormuls y th ollowing procdur. % A g A x mols A x mol A % B g B x mols B Find mol y mol B rtio Rtio givs ormul A x B y 10 Exmpl Eugnol is th ctiv componnt o oil o clovs. It hs molr mss o 16.2 g/mol nd is 7.1% C nd 7.7% H; th rmindr is oxygn. Wht r mpiricl nd molculr ormuls or ugnol? Whr to strt?! 11 Exmpl Eugnol is th ctiv componnt o oil o clovs. It hs molr mss o 16.2 g/mol nd is 7.1% C nd 7.7% H; th rmindr is oxygn. Wht r mpiricl nd molculr ormuls or ugnol? Whr to strt?! 1. Wht is th % o oxygn? 100% - (7.1% + 7.7%) 19.9% 2. How mny grms o C, H, nd O? Assum you hv 100 g o th compound thror your prcntgs r th numr o grms o C, H, nd O. 7.1 g o C 7.7 g o H 19.9 g o O. Chng th grms into mols. 7.1 g o C 1 mol o C / g o C 6.09 mols o C 7.7 g o H 1 mol o H / g o H 7.1 mols o H 19.9 g o O 1 mol o O / g o O 1.22 mols o O. Find th mol rtios (divid th lrg mount(s) o mols y th smllst mount o mols) mols o C / 1.22 mols o O 5 mols o C to 1 mol o O 7.7 mols o H / 1.22 mols o O 6 mols o H to 1 mol o O 5. So wht dos this mn? C 5 H 6 O is th mpiricl ormul 6. How to gt th molculr ormul? Molculr wight o th mpiricl ormul. 82 g/mol Divid th molculr wight o ugnol y th molculr wight mpiricl ormul g/mol / 82 g/mol 2 So thr r 2 units o th mpiricl ormul. 12 (C 5H 6O) 2 C 10H 12O 2

3 Hydrtd Compounds I ionic compounds r prprd wtr solution nd thn isoltd s solids, th crystls otn hv molculs o wtr trppd in th lttic. Compounds in which molculs o wtr r ssocitd with th ions o th compound r clld hydrtd compounds. Exmpls: NiCl 2 6H 2 O CSO 2H 2 O But wht out th molr mss? (Do I dd th wtr?) YES! NiCl 2 6H 2 O 27.7 g/mol g/mol rom NiCl g/mol rom 6H 2 O Dtrmining th Units o Hydrtion Exmpl: Th ollowing rction tks plc g o CuSO x H 2 O + ht 0.65 g CuSO +? g H 2 O Find th units o hydrtion. Stp 1: dtrmin th mss o wtr 1.02 g o CuSO x H 2 O 0.65 g o CuSO 0.69 g o wtr Stp 2: dtrmin th numr o mols 0.69 g o wtr 1 mol o wtr / g o wtr mols o wtr 0.65 g CuSO 1 mols CuSO / g CuSO mols CuSO Stp : dtrmin th molr rtio mol H2O mol CuSO So, w know tht w strtd with 1.02 g o CuSO 5 H 2 O CSO 2H 2 O g/mol mol H2O 1.00 mol CuSO Chmicl Eqution A writtn rprsnttion o chmicl rction, showing th rctnts nd products, thir physicl stts, nd th dirction in which th rction procds. Exmpl: 2 Al(s) + Br 2 (l) Al 2 Br 6 (s) So it tks: 2 toms (or mols) o solid luminum molculs (or mols) o liquid romin rctnts To mk: 1 molcul (or mol) o solid Al 2 Br 6 product(s) Th givn rction is n xmpl o lncd qution, which is our nxt topic. Exmpl: F(s) + O 2 (g) 2 F 2 O (s) Wht r th stoichiomtric coicints? I you usd 8000 toms o F, how mny molculs o O2 r rquird to consum th iron compltly? molculs o O 8000 toms o F toms o F molculs o O2 15 Blncing Chmicl Equtions W hv sn wht lncd chmicl qution looks lik. Blncing chmicl qutions is n ppliction o oth th modrn tomic thory nd th lw o consrvtion o mttr. Th numr o on kind o tom on th rctnts sid must qul to th numr o th sm kind o tom on th product sid. 16 Exmpl Blncing Chmicl Equtions Exmpl: writ th lncd qution or th complt comustion o propn (C H 8 ). Comustion is th procss o urning compound in th prsnc o oxygn (O 2 ) to orm CO 2 gs nd H 2 O liquid. This is th unlncd chmicl qution. Blnc th numr o C toms How mny on th lt? How mny o th right? 1 So, w nd to dd thr C toms to th right, how? Chng th stoichiomtric coicint. Blnc th numr o H toms How mny on th lt? 8 How mny on th right? 2 So, w nd to dd 6 H toms to th right, y chnging th stoichiomtric coicint, ut nd up with totl o 8 H toms on th right. Blnc th numr o O toms How mny on th lt? 2 How mny on th right? 10 So, w nd to dd 8 O toms to th lt nd nd up with totl o 10 on th lt. Mor Exmpls Comustion o utn (C H 10 ). 2C H 10 (g) + 1 O 2 (g) 8CO 2 (g) + 10 H 2 O(l) Comustion o pntn (C 5 H 12 ). C 5 H 12 (g) + 8O 2 (g) 5 CO 2 (g) + 6 H 2 O(l) C H 8 (g) + 5O 2 (g) CO 2 (g) + H 2 O(l) 17 18

4 Figur.12: Hydrogn nd nitrogn rct to orm mmoni ccording to th qution N 2 + H 2 2NH. Th POWER o Blncd Chmicl Eqution With lnc chmicl qution, w cn do mny things. Dtrmin how much (mols & grms) o our products w will mk with known mount o rctnts. Dtrmin how much rctnts (mols & grms) w will nd to crt known mount o product. For xmpl w wnt to mk 6 g o H 2 O(l) rom th comustion o mthn (CH ), how much mthn nd oxygn will w nd? CH (g) + 2 O 2 (g) CO 2 (g) + 2 H 2 O(l) 6 g o H 2 O.56 mols o H 2 O.56 mols o H 2 O 1 mol o CH / 2 mols o H 2 O 1.78 mols o CH.56 mols o H 2 O 2 mol o O 2 / 2 mols o H 2 O.56 mols o O 2 How did I do tht? From Chptr MOLES r th CENTER prticls Vol. o n idl STP Using th Blncd Eqution Vol. o n idl STP Vol. o nd idl STP ) Multiply y Avogdro s Numr ) Divid y Avogdro s Numr c) Multiply y th molculr wight o X d) Divid y th molculr wight o X mols o X c d ) Multiply y 22. L / mol ) Divid y 22. L / mol 21 prticls ) Multiply y Avogdro s Numr ) Divid y Avogdro s Numr c) Multiply y th molculr wight o X or Y d) Divid y th molculr wight o X or Y g mols o X mols o Y c x d x h g) Multiply y th stoichiomtric coicint o Y nd divid y th stoichiomtric coicint o X. h) Multiply y th stoichiomtric coicint o X nd divid y th stoichiomtric coicint o Y. c y d y prticls ) Multiply y 22. L / mol ) Divid y 22. L / mol 22 Exmpl I 5 g o propn (C H 8 ) is urnd, wht mss o oxygn (in grms) is rquird or complt comustion nd wht msss o cron dioxid nd wtr (in grms) r ormd? C H 8 (g) + 5 O 2 (g) CO 2 (g) + H 2 O(l) 5 g o C H 8 1 mol o C H 8 /.10 g o C H mols o C H mols o C H 8 5 mols o O 2 / 1 mol o C H mols o O g/mol 168 g o O mols o C H 8 mols o CO 2 / 1 mol o C H mols o CO 2.0 g/mol 160 g o CO mols o C H 8 mols o H 2 O / 1 mol o C H mols o H 2 O 18.0 g/mol 72 g o H 2 O 2 Limiting Rctnt Limiting Rctnts Th rctnt prsnt in limitd supply tht dtrmins th mount o product ormd. In othr words, on o our rctnts in chmicl rction will run out irst nd this dictts th mount products ormd. Exmpl: 225 g o SiCl is mixd with 225 g o Mg, which compound is th limiting rctnt nd how much Si (s) will producd. SiCl (l) + 2 Mg(s) Si(s) + 2 MgCl 2 (s) 225 g o SiCl 1 mol o SiCl / g o SiCl 1.2 mols o SiCl 1.2 mols o SiCl 1 mol o Si(s) / 1 mol o SiCl (l) 1.2 mols o Si(s) 225 g o Mg 1 mol o Mg / g o Mg 9.26 mols o Mg 9.26 mols o Mg 1 mol o Si(s) / 2 mol o Mg.6 mols o Si(s) So, SiCl (l) is th limiting rctnt cus it only will orm 1.2 mols o Si(s). 1.2 mols o Si(s) g / 1 mol 7.1 g o Si(s). 2

5 Prcnt Yild Prcnt Yild Th ctul yild o chmicl rction s prcntg o its thorticl yild. ctul yild Prcnt y ild 100% thorticl yild Exmpl: mthnol (CH OH) dcomposs to orm hydrogn nd cron monoxid gs. I 125 g o mthnol dcomposs wht is th thorticl yild o hydrogn gs? I you otind only 1.6 g o hydrogn, wht is th prcnt yild o th gs? CH OH(l) 2 H 2 (g) + CO(g) 125 g o CH OH 1 mol o CH OH / 2.02 g o CH OH.90 mols o CH OH(l).90 mol o CHOH(l) 2 mols o H 2 (g) / 1 mol o CHOH(l) 7.8 mols o H 2 (g) 7.8 mols o H 2 (g) g o H 2 (g) / 1 mol o H 2 (g) g o H 2 (g) 1.6 / % yild 25

Higher. Exponentials and Logarithms 160

Higher. Exponentials and Logarithms 160 hsn uknt Highr Mthmtics UNIT UTCME Eponntils nd Logrithms Contnts Eponntils nd Logrithms 6 Eponntils 6 Logrithms 6 Lws of Logrithms 6 Eponntils nd Logrithms to th Bs 65 5 Eponntil nd Logrithmic Equtions

More information

Chemical Composition. Introductory Chemistry: A Foundation FOURTH EDITION. Atomic Masses. Atomic Masses. Atomic Masses. Chapter 8

Chemical Composition. Introductory Chemistry: A Foundation FOURTH EDITION. Atomic Masses. Atomic Masses. Atomic Masses. Chapter 8 Introductory Chemistry: A Foundation FOURTH EDITION by Steven S. Zumdahl University of Illinois Chemical Composition Chapter 8 1 2 Atomic Masses Balanced equation tells us the relative numbers of molecules

More information

Fundamentals of Tensor Analysis

Fundamentals of Tensor Analysis MCEN 503/ASEN 50 Chptr Fundmntls of Tnsor Anlysis Fll, 006 Fundmntls of Tnsor Anlysis Concpts of Sclr, Vctor, nd Tnsor Sclr α Vctor A physicl quntity tht cn compltly dscrid y rl numr. Exmpl: Tmprtur; Mss;

More information

AC Circuits Three-Phase Circuits

AC Circuits Three-Phase Circuits AC Circuits Thr-Phs Circuits Contnts Wht is Thr-Phs Circuit? Blnc Thr-Phs oltgs Blnc Thr-Phs Connction Powr in Blncd Systm Unblncd Thr-Phs Systms Aliction Rsidntil Wiring Sinusoidl voltg sourcs A siml

More information

Reading. Minimum Spanning Trees. Outline. A File Sharing Problem. A Kevin Bacon Problem. Spanning Trees. Section 9.6

Reading. Minimum Spanning Trees. Outline. A File Sharing Problem. A Kevin Bacon Problem. Spanning Trees. Section 9.6 Rin Stion 9.6 Minimum Spnnin Trs Outlin Minimum Spnnin Trs Prim s Alorithm Kruskl s Alorithm Extr:Distriut Shortst-Pth Alorithms A Fil Shrin Prolm Sy unh o usrs wnt to istriut il monst thmslvs. Btwn h

More information

LECTURE #05. Learning Objectives. How does atomic packing factor change with different atom types? How do you calculate the density of a material?

LECTURE #05. Learning Objectives. How does atomic packing factor change with different atom types? How do you calculate the density of a material? LECTURE #05 Chpter : Pcking Densities nd Coordintion Lerning Objectives es How does tomic pcking fctor chnge with different tom types? How do you clculte the density of mteril? 2 Relevnt Reding for this

More information

MOLES AND MOLE CALCULATIONS

MOLES AND MOLE CALCULATIONS 35 MOLES ND MOLE CLCULTIONS INTRODUCTION The purpose of this section is to present some methods for calculating both how much of each reactant is used in a chemical reaction, and how much of each product

More information

Study Guide For Chapter 7

Study Guide For Chapter 7 Name: Class: Date: ID: A Study Guide For Chapter 7 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The number of atoms in a mole of any pure substance

More information

Binary Representation of Numbers Autar Kaw

Binary Representation of Numbers Autar Kaw Binry Representtion of Numbers Autr Kw After reding this chpter, you should be ble to: 1. convert bse- rel number to its binry representtion,. convert binry number to n equivlent bse- number. In everydy

More information

Last time Interprocedural analysis Dimensions of precision (flow- and context-sensitivity) Flow-Sensitive Pointer Analysis

Last time Interprocedural analysis Dimensions of precision (flow- and context-sensitivity) Flow-Sensitive Pointer Analysis Flow-Insnsitiv Pointr Anlysis Lst tim Intrprocurl nlysis Dimnsions of prcision (flow- n contxt-snsitivity) Flow-Snsitiv Pointr Anlysis Toy Flow-Insnsitiv Pointr Anlysis CIS 570 Lctur 12 Flow-Insnsitiv

More information

Question 3: How do you find the relative extrema of a function?

Question 3: How do you find the relative extrema of a function? ustion 3: How do you find th rlativ trma of a function? Th stratgy for tracking th sign of th drivativ is usful for mor than dtrmining whr a function is incrasing or dcrasing. It is also usful for locating

More information

Chapter 1: Moles and equations. Learning outcomes. you should be able to:

Chapter 1: Moles and equations. Learning outcomes. you should be able to: Chapter 1: Moles and equations 1 Learning outcomes you should be able to: define and use the terms: relative atomic mass, isotopic mass and formula mass based on the 12 C scale perform calculations, including

More information

1. How many hydrogen atoms are in 1.00 g of hydrogen?

1. How many hydrogen atoms are in 1.00 g of hydrogen? MOLES AND CALCULATIONS USING THE MOLE CONCEPT INTRODUCTORY TERMS A. What is an amu? 1.66 x 10-24 g B. We need a conversion to the macroscopic world. 1. How many hydrogen atoms are in 1.00 g of hydrogen?

More information

Molar Mass Worksheet Answer Key

Molar Mass Worksheet Answer Key Molar Mass Worksheet Answer Key Calculate the molar masses of the following chemicals: 1) Cl 2 71 g/mol 2) KOH 56.1 g/mol 3) BeCl 2 80 g/mol 4) FeCl 3 162.3 g/mol 5) BF 3 67.8 g/mol 6) CCl 2 F 2 121 g/mol

More information

Level 3. Monday FRACTIONS ⅔ ⅗ 2) ⅔ =?/18. 1) What is a) ⅕ of 30? b) ⅖ of 30?

Level 3. Monday FRACTIONS ⅔ ⅗ 2) ⅔ =?/18. 1) What is a) ⅕ of 30? b) ⅖ of 30? 2014 Th Wkly Pln. All rights rsrv. Mony 2) ⅔ =?/18 1) Wht is ) ⅕ o 30? ) ⅖ o 30? 4) Us or = to show th rltionship twn th ollowing rtions: 3) Writ n quivlnt rtion or ½ ⅔ ⅗ 5) Brook pik ouqut o 24 lowrs.

More information

Moles, Molecules, and Grams Worksheet Answer Key

Moles, Molecules, and Grams Worksheet Answer Key Moles, Molecules, and Grams Worksheet Answer Key 1) How many are there in 24 grams of FeF 3? 1.28 x 10 23 2) How many are there in 450 grams of Na 2 SO 4? 1.91 x 10 24 3) How many grams are there in 2.3

More information

Important result on the first passage time and its integral functional for a certain diffusion process

Important result on the first passage time and its integral functional for a certain diffusion process Lcturs Mtmátics Volumn 22 (21), págins 5 9 Importnt rsult on th first pssg tim nd its intgrl functionl for crtin diffusion procss Yousf AL-Zlzlh nd Bsl M. AL-Eidh Kuwit Univrsity, Kuwit Abstrct. In this

More information

Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100

Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100 hsn.uk.net Higher Mthemtics UNIT 3 OUTCOME 1 Vectors Contents Vectors 18 1 Vectors nd Sclrs 18 Components 18 3 Mgnitude 130 4 Equl Vectors 131 5 Addition nd Subtrction of Vectors 13 6 Multipliction by

More information

Firm Objectives. The Theory of the Firm II. Cost Minimization Mathematical Approach. First order conditions. Cost Minimization Graphical Approach

Firm Objectives. The Theory of the Firm II. Cost Minimization Mathematical Approach. First order conditions. Cost Minimization Graphical Approach Pro. Jy Bhttchry Spring 200 The Theory o the Firm II st lecture we covered: production unctions Tody: Cost minimiztion Firm s supply under cost minimiztion Short vs. long run cost curves Firm Ojectives

More information

Chapter 4. Chemical Composition. Chapter 4 Topics H 2 S. 4.1 Mole Quantities. The Mole Scale. Molar Mass The Mass of 1 Mole

Chapter 4. Chemical Composition. Chapter 4 Topics H 2 S. 4.1 Mole Quantities. The Mole Scale. Molar Mass The Mass of 1 Mole Chapter 4 Chemical Composition Chapter 4 Topics 1. Mole Quantities 2. Moles, Masses, and Particles 3. Determining Empirical Formulas 4. Chemical Composition of Solutions Copyright The McGraw-Hill Companies,

More information

Geometry 7-1 Geometric Mean and the Pythagorean Theorem

Geometry 7-1 Geometric Mean and the Pythagorean Theorem Geometry 7-1 Geometric Men nd the Pythgoren Theorem. Geometric Men 1. Def: The geometric men etween two positive numers nd is the positive numer x where: = x. x Ex 1: Find the geometric men etween the

More information

Calculating Atoms, Ions, or Molecules Using Moles

Calculating Atoms, Ions, or Molecules Using Moles TEKS REVIEW 8B Calculating Atoms, Ions, or Molecules Using Moles TEKS 8B READINESS Use the mole concept to calculate the number of atoms, ions, or molecules in a sample TEKS_TXT of material. Vocabulary

More information

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers. 2 Rtionl Numbers Integers such s 5 were importnt when solving the eqution x+5 = 0. In similr wy, frctions re importnt for solving equtions like 2x = 1. Wht bout equtions like 2x + 1 = 0? Equtions of this

More information

W1 WORKSHOP ON STOICHIOMETRY

W1 WORKSHOP ON STOICHIOMETRY INTRODUCTION W1 WORKSHOP ON STOICHIOMETRY These notes and exercises are designed to introduce you to the basic concepts required to understand a chemical formula or equation. Relative atomic masses of

More information

Operations with Polynomials

Operations with Polynomials 38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply

More information

Uses for Binary Trees -- Binary Search Trees

Uses for Binary Trees -- Binary Search Trees CS122 Algorithms n Dt Struturs MW 11:00 m 12:15 pm, MSEC 101 Instrutor: Xio Qin Ltur 10: Binry Srh Trs n Binry Exprssion Trs Uss or Binry Trs Binry Srh Trs n Us or storing n rtriving inormtion n Insrt,

More information

Lecture 3: Diffusion: Fick s first law

Lecture 3: Diffusion: Fick s first law Lctur 3: Diffusion: Fick s first law Today s topics What is diffusion? What drivs diffusion to occur? Undrstand why diffusion can surprisingly occur against th concntration gradint? Larn how to dduc th

More information

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O The Interntionl Assocition for the Properties of Wter nd Stem Lucerne, Sitzerlnd August 7 Relese on the Ioniztion Constnt of H O 7 The Interntionl Assocition for the Properties of Wter nd Stem Publiction

More information

Moles. Balanced chemical equations Molar ratios Mass Composition Empirical and Molecular Mass Predicting Quantities Equations

Moles. Balanced chemical equations Molar ratios Mass Composition Empirical and Molecular Mass Predicting Quantities Equations Moles Balanced chemical equations Molar ratios Mass Composition Empirical and Molecular Mass Predicting Quantities Equations Micro World atoms & molecules Macro World grams Atomic mass is the mass of an

More information

Instruction: Solving Exponential Equations without Logarithms. This lecture uses a four-step process to solve exponential equations:

Instruction: Solving Exponential Equations without Logarithms. This lecture uses a four-step process to solve exponential equations: 49 Instuction: Solving Eponntil Equtions without Logithms This lctu uss fou-stp pocss to solv ponntil qutions: Isolt th bs. Wit both sids of th qution s ponntil pssions with lik bss. St th ponnts qul to

More information

Schedule C. Notice in terms of Rule 5(10) of the Capital Gains Rules, 1993

Schedule C. Notice in terms of Rule 5(10) of the Capital Gains Rules, 1993 (Rul 5(10)) Shul C Noti in trms o Rul 5(10) o th Cpitl Gins Ruls, 1993 Sttmnt to sumitt y trnsror o shrs whr thr is trnsr o ontrolling intrst Prt 1 - Dtils o Trnsror Nm Arss ROC No (ompnis only) Inom Tx

More information

Network Analyzer Error Models and Calibration Methods

Network Analyzer Error Models and Calibration Methods Ntwork Anlyzr Error Modls nd Clirtion Mthods y Doug Rytting Pg This ppr is n ovrviw of rror modls nd clirtion mthods for vctor ntwork nlyzrs. Prsnttion Outlin Ntwork Anlyzr Block Digrm nd Error Modl ystm

More information

Unit 3 Notepack Chapter 7 Chemical Quantities Qualifier for Test

Unit 3 Notepack Chapter 7 Chemical Quantities Qualifier for Test Unit 3 Notepack Chapter 7 Chemical Quantities Qualifier for Test NAME Section 7.1 The Mole: A Measurement of Matter A. What is a mole? 1. Chemistry is a quantitative science. What does this term mean?

More information

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive

More information

Vectors 2. 1. Recap of vectors

Vectors 2. 1. Recap of vectors Vectors 2. Recp of vectors Vectors re directed line segments - they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms

More information

MOLECULAR MASS AND FORMULA MASS

MOLECULAR MASS AND FORMULA MASS 1 MOLECULAR MASS AND FORMULA MASS Molecular mass = sum of the atomic weights of all atoms in the molecule. Formula mass = sum of the atomic weights of all atoms in the formula unit. 2 MOLECULAR MASS AND

More information

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply?

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply? Assignment 3: Bohr s model nd lser fundmentls 1. In the Bohr model, compre the mgnitudes of the electron s kinetic nd potentil energies in orit. Wht does this imply? When n electron moves in n orit, the

More information

Calculate the molar mass of each of the following: (a) SnO 2. Calculate the molar mass of each of the following: (a) N 2 O 4

Calculate the molar mass of each of the following: (a) SnO 2. Calculate the molar mass of each of the following: (a) N 2 O 4 Calculate the molar mass of each of the following: (a SnO (b BaF (c Al (SO 3 (d MnCl Calculate the molar mass of each of the following: (a N O (b C 8 H 10 (c MgSO. 7 H O (d Ca(C H 3 O (a Mass in grams

More information

Calculation of Molar Masses. Molar Mass. Solutions. Solutions

Calculation of Molar Masses. Molar Mass. Solutions. Solutions Molar Mass Molar mass = Mass in grams of one mole of any element, numerically equal to its atomic weight Molar mass of molecules can be determined from the chemical formula and molar masses of elements

More information

Element of same atomic number, but different atomic mass o Example: Hydrogen

Element of same atomic number, but different atomic mass o Example: Hydrogen Atomic mass: p + = protons; e - = electrons; n 0 = neutrons p + + n 0 = atomic mass o For carbon-12, 6p + + 6n 0 = atomic mass of 12.0 o For chlorine-35, 17p + + 18n 0 = atomic mass of 35.0 atomic mass

More information

Percent Composition and Molecular Formula Worksheet

Percent Composition and Molecular Formula Worksheet Percent Composition and Molecular Formula Worksheet 1. What s the empirical formula of a molecule containing 65.5% carbon, 5.5% hydrogen, and 29.0% 2. If the molar mass of the compound in problem 1 is

More information

Name Date Class CHEMICAL QUANTITIES. SECTION 10.1 THE MOLE: A MEASUREMENT OF MATTER (pages 287 296)

Name Date Class CHEMICAL QUANTITIES. SECTION 10.1 THE MOLE: A MEASUREMENT OF MATTER (pages 287 296) 10 CHEMICAL QUANTITIES SECTION 10.1 THE MOLE: A MEASUREMENT OF MATTER (pages 287 296) This section defines the mole and explains how the mole is used to measure matter. It also teaches you how to calculate

More information

Or more simply put, when adding or subtracting quantities, their uncertainties add.

Or more simply put, when adding or subtracting quantities, their uncertainties add. Propgtion of Uncertint through Mthemticl Opertions Since the untit of interest in n eperiment is rrel otined mesuring tht untit directl, we must understnd how error propgtes when mthemticl opertions re

More information

The Mole and Molar Mass

The Mole and Molar Mass The Mole and Molar Mass 1 Molar mass is the mass of one mole of a substance. Molar mass is numerically equal to atomic mass, molecular mass, or formula mass. However the units of molar mass are g/mol.

More information

CHAPTER 4c. ROOTS OF EQUATIONS

CHAPTER 4c. ROOTS OF EQUATIONS CHAPTER c. ROOTS OF EQUATIONS A. J. Clark School o Enginring Dpartmnt o Civil and Environmntal Enginring by Dr. Ibrahim A. Aakka Spring 00 ENCE 03 - Computation Mthod in Civil Enginring II Dpartmnt o Civil

More information

Chapter Three: STOICHIOMETRY

Chapter Three: STOICHIOMETRY p70 Chapter Three: STOICHIOMETRY Contents p76 Stoichiometry - The study of quantities of materials consumed and produced in chemical reactions. p70 3-1 Counting by Weighing 3-2 Atomic Masses p78 Mass Mass

More information

602X10 21 602,000,000,000, 000,000,000,000 6.02X10 23. Pre- AP Chemistry Chemical Quan44es: The Mole. Diatomic Elements

602X10 21 602,000,000,000, 000,000,000,000 6.02X10 23. Pre- AP Chemistry Chemical Quan44es: The Mole. Diatomic Elements Pre- AP Chemistry Chemical Quan44es: The Mole Mole SI unit of measurement that measures the amount of substance. A substance exists as representa9ve par9cles. Representa9ve par9cles can be atoms, molecules,

More information

Chapter 5, Calculations and the Chemical Equation

Chapter 5, Calculations and the Chemical Equation 1. How many iron atoms are present in one mole of iron? Ans. 6.02 1023 atoms 2. How many grams of sulfur are found in 0.150 mol of sulfur? [Use atomic weight: S, 32.06 amu] Ans. 4.81 g 3. How many moles

More information

10 Cl atoms. 10 H2O molecules. 8.3 mol HCN = 8.3 mol N atoms 1 mol HCN. 2 mol H atoms 2.63 mol CH2O = 5.26 mol H atoms 1 mol CH O

10 Cl atoms. 10 H2O molecules. 8.3 mol HCN = 8.3 mol N atoms 1 mol HCN. 2 mol H atoms 2.63 mol CH2O = 5.26 mol H atoms 1 mol CH O Chem 100 Mole conversions and stoichiometry worksheet 1. How many Ag atoms are in.4 mol Ag atoms? 6.0 10 Ag atoms 4.4 mol Ag atoms = 1.46 10 Ag atoms 1 mol Ag atoms. How many Br molecules are in 18. mol

More information

The Mole. 6.022 x 10 23

The Mole. 6.022 x 10 23 The Mole 6.022 x 10 23 Background: atomic masses Look at the atomic masses on the periodic table. What do these represent? E.g. the atomic mass of Carbon is 12.01 (atomic # is 6) We know there are 6 protons

More information

December Homework- Week 1

December Homework- Week 1 Dcmbr Hmwrk- Wk 1 Mth Cmmn Cr Stndrds: K.CC.A.1 - Cunt t 100 by ns nd by tns. K.CC.A.2 - Cunt frwrd bginning frm givn numbr within th knwn squnc (instd f hving t bgin t 1). K.CC.B.4.A - Whn cunting bjcts,

More information

Chapter 3 Mass Relationships in Chemical Reactions

Chapter 3 Mass Relationships in Chemical Reactions Chapter 3 Mass Relationships in Chemical Reactions Student: 1. An atom of bromine has a mass about four times greater than that of an atom of neon. Which choice makes the correct comparison of the relative

More information

Distributed Systems Principles and Paradigms. Chapter 11: Distributed File Systems. Distributed File Systems. Example: NFS Architecture

Distributed Systems Principles and Paradigms. Chapter 11: Distributed File Systems. Distributed File Systems. Example: NFS Architecture Distriut Systms Prinipls n Prigms Mrtn vn Stn VU mstrm, Dpt. Computr Sin stn@s.vu.nl Chptr 11: Vrsion: Dmr 10, 2012 1 / 14 Gnrl gol Try to mk fil systm trnsprntly vill to rmot lints. 1. Fil mov to lint

More information

b. N 2 H 4 c. aluminum oxalate d. acetic acid e. arsenic PART 2: MOLAR MASS 2. Determine the molar mass for each of the following. a. ZnI 2 b.

b. N 2 H 4 c. aluminum oxalate d. acetic acid e. arsenic PART 2: MOLAR MASS 2. Determine the molar mass for each of the following. a. ZnI 2 b. CHEMISTRY DISCOVER UNIT 5 LOTS OF PRACTICE ON USING THE MOLE!!! PART 1: ATOMIC MASS, FORMULA MASS, OR MOLECULAR MASS 1. Determine the atomic mass, formula mass, or molecular mass for each of the following

More information

Physics 43 Homework Set 9 Chapter 40 Key

Physics 43 Homework Set 9 Chapter 40 Key Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nm-wide region t x

More information

= 11.0 g (assuming 100 washers is exact).

= 11.0 g (assuming 100 washers is exact). CHAPTER 8 1. 100 washers 0.110 g 1 washer 100. g 1 washer 0.110 g = 11.0 g (assuming 100 washers is exact). = 909 washers 2. The empirical formula is CFH from the structure given. The empirical formula

More information

Econ 371: Answer Key for Problem Set 1 (Chapter 12-13)

Econ 371: Answer Key for Problem Set 1 (Chapter 12-13) con 37: Answr Ky for Problm St (Chaptr 2-3) Instructor: Kanda Naknoi Sptmbr 4, 2005. (2 points) Is it possibl for a country to hav a currnt account dficit at th sam tim and has a surplus in its balanc

More information

Moles. Moles. Moles. Moles. Balancing Eqns. Balancing. Balancing Eqns. Symbols Yields or Produces. Like a recipe:

Moles. Moles. Moles. Moles. Balancing Eqns. Balancing. Balancing Eqns. Symbols Yields or Produces. Like a recipe: Like a recipe: Balancing Eqns Reactants Products 2H 2 (g) + O 2 (g) 2H 2 O(l) coefficients subscripts Balancing Eqns Balancing Symbols (s) (l) (aq) (g) or Yields or Produces solid liquid (pure liquid)

More information

Name Date Class CHEMICAL QUANTITIES. SECTION 10.1 THE MOLE: A MEASUREMENT OF MATTER (pages 287 296)

Name Date Class CHEMICAL QUANTITIES. SECTION 10.1 THE MOLE: A MEASUREMENT OF MATTER (pages 287 296) Name Date Class 10 CHEMICAL QUANTITIES SECTION 10.1 THE MOLE: A MEASUREMENT OF MATTER (pages 287 296) This section defines the mole and explains how the mole is used to measure matter. It also teaches

More information

2. Write the chemical formula(s) of the product(s) and balance the following spontaneous reactions.

2. Write the chemical formula(s) of the product(s) and balance the following spontaneous reactions. 1. Using the Activity Series on the Useful Information pages of the exam write the chemical formula(s) of the product(s) and balance the following reactions. Identify all products phases as either (g)as,

More information

Mole Calculations Multiple Choice Review PSI Chemistry

Mole Calculations Multiple Choice Review PSI Chemistry Mole Calculations Multiple Choice Review PSI Chemistry Name The Mole and Avogadro's Number 1)What is the SI unit for measurement of number of particles in a substance? A) kilogram B) ampere C) candela

More information

Solution. Practice Exercise. Concept Exercise

Solution. Practice Exercise. Concept Exercise Example Exercise 9.1 Atomic Mass and Avogadro s Number Refer to the atomic masses in the periodic table inside the front cover of this textbook. State the mass of Avogadro s number of atoms for each of

More information

Ratio and Proportion

Ratio and Proportion Rtio nd Proportion Rtio: The onept of rtio ours frequently nd in wide vriety of wys For exmple: A newspper reports tht the rtio of Repulins to Demorts on ertin Congressionl ommittee is 3 to The student/fulty

More information

The Mole. Chapter 10. Dimensional Analysis. The Mole. How much mass is in one atom of carbon-12? Molar Mass of Atoms 3/1/2015

The Mole. Chapter 10. Dimensional Analysis. The Mole. How much mass is in one atom of carbon-12? Molar Mass of Atoms 3/1/2015 The Mole Chapter 10 1 Objectives Use the mole and molar mass to make conversions among moles, mass, and number of particles Determine the percent composition of the components of a compound Calculate empirical

More information

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

Electrochemistry Worksheet

Electrochemistry Worksheet Electrochemistry Worksheet 1. Assign oxidation numbers to each atom in the following: a. P 4 O 6 b. BiO 3 c. N 2 H 4 d. Mg(BrO 4 ) 2 e. MnSO 4 f. Mn(SO 4 ) 2 2. For each of the reactions below identify

More information

Atomic mass is the mass of an atom in atomic mass units (amu)

Atomic mass is the mass of an atom in atomic mass units (amu) Micro World atoms & molecules Laboratory scale measurements Atomic mass is the mass of an atom in atomic mass units (amu) By definition: 1 atom 12 C weighs 12 amu On this scale 1 H = 1.008 amu 16 O = 16.00

More information

Linear Equations in Two Variables

Linear Equations in Two Variables Liner Equtions in Two Vribles In this chpter, we ll use the geometry of lines to help us solve equtions. Liner equtions in two vribles If, b, ndr re rel numbers (nd if nd b re not both equl to 0) then

More information

Chapter 3. Chemical Reactions and Reaction Stoichiometry. Lecture Presentation. James F. Kirby Quinnipiac University Hamden, CT

Chapter 3. Chemical Reactions and Reaction Stoichiometry. Lecture Presentation. James F. Kirby Quinnipiac University Hamden, CT Lecture Presentation Chapter 3 Chemical Reactions and Reaction James F. Kirby Quinnipiac University Hamden, CT The study of the mass relationships in chemistry Based on the Law of Conservation of Mass

More information

Part One: Mass and Moles of Substance. Molecular Mass = sum of the Atomic Masses in a molecule

Part One: Mass and Moles of Substance. Molecular Mass = sum of the Atomic Masses in a molecule CHAPTER THREE: CALCULATIONS WITH CHEMICAL FORMULAS AND EQUATIONS Part One: Mass and Moles of Substance A. Molecular Mass and Formula Mass. (Section 3.1) 1. Just as we can talk about mass of one atom of

More information

STOICHIOMETRY UNIT 1 LEARNING OUTCOMES. At the end of this unit students will be expected to:

STOICHIOMETRY UNIT 1 LEARNING OUTCOMES. At the end of this unit students will be expected to: STOICHIOMETRY LEARNING OUTCOMES At the end of this unit students will be expected to: UNIT 1 THE MOLE AND MOLAR MASS define molar mass and perform mole-mass inter-conversions for pure substances explain

More information

CLASS TEST GRADE 11. PHYSICAL SCIENCES: CHEMISTRY Test 6: Chemical change

CLASS TEST GRADE 11. PHYSICAL SCIENCES: CHEMISTRY Test 6: Chemical change CLASS TEST GRADE PHYSICAL SCIENCES: CHEMISTRY Test 6: Chemical change MARKS: 45 TIME: hour INSTRUCTIONS AND INFORMATION. Answer ALL the questions. 2. You may use non-programmable calculators. 3. You may

More information

How much does a single atom weigh? Different elements weigh different amounts related to what makes them unique.

How much does a single atom weigh? Different elements weigh different amounts related to what makes them unique. How much does a single atom weigh? Different elements weigh different amounts related to what makes them unique. What units do we use to define the weight of an atom? amu units of atomic weight. (atomic

More information

EQUATIONS OF LINES AND PLANES

EQUATIONS OF LINES AND PLANES EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint

More information

CUBIC-FOOT VOLUME OF A LOG

CUBIC-FOOT VOLUME OF A LOG CUBIC-FOOT VOLUME OF A LOG Wys to clculte cuic foot volume ) xylometer: tu of wter sumerge tree or log in wter nd find volume of wter displced. ) grphic: exmple: log length = 4 feet, ech section feet in

More information

Chem 115 POGIL Worksheet - Week 4 Moles & Stoichiometry

Chem 115 POGIL Worksheet - Week 4 Moles & Stoichiometry Chem 115 POGIL Worksheet - Week 4 Moles & Stoichiometry Why? Chemists are concerned with mass relationships in chemical reactions, usually run on a macroscopic scale (grams, kilograms, etc.). To deal with

More information

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1 PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses.

More information

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions. Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd

More information

The Mole Notes. There are many ways to or measure things. In Chemistry we also have special ways to count and measure things, one of which is the.

The Mole Notes. There are many ways to or measure things. In Chemistry we also have special ways to count and measure things, one of which is the. The Mole Notes I. Introduction There are many ways to or measure things. In Chemistry we also have special ways to count and measure things, one of which is the. A. The Mole (mol) Recall that atoms of

More information

Review guide for the final exam in Math 233

Review guide for the final exam in Math 233 Review guide for the finl exm in Mth 33 1 Bsic mteril. This review includes the reminder of the mteril for mth 33. The finl exm will be cumultive exm with mny of the problems coming from the mteril covered

More information

What s in a Mole? Molar Mass

What s in a Mole? Molar Mass LESSON 10 What s in a Mole? Molar Mass OVERVIEW Key Ideas Lesson Type Lab: Groups of 4 Chemists compare moles of substances rather than masses because moles are a way of counting atoms. When considering

More information

Writing and Balancing Chemical Equations

Writing and Balancing Chemical Equations Name Writing and Balancing Chemical Equations Period When a substance undergoes a chemical reaction, chemical bonds are broken and new bonds are formed. This results in one or more new substances, often

More information

Chemistry 65 Chapter 6 THE MOLE CONCEPT

Chemistry 65 Chapter 6 THE MOLE CONCEPT THE MOLE CONCEPT Chemists find it more convenient to use mass relationships in the laboratory, while chemical reactions depend on the number of atoms present. In order to relate the mass and number of

More information

8. Relax and do well.

8. Relax and do well. CHEM 1314 3:30 pm Section Exam II ohn II. Gelder October 16, 2002 Name TA's Name Lab Section INSTRUCTIONS: 1. This examination consists of a total of 8 different pages. The last three pages include a periodic

More information

Which substance contains positive ions immersed in a sea of mobile electrons? A) O2(s) B) Cu(s) C) CuO(s) D) SiO2(s)

Which substance contains positive ions immersed in a sea of mobile electrons? A) O2(s) B) Cu(s) C) CuO(s) D) SiO2(s) BONDING MIDTERM REVIEW 7546-1 - Page 1 1) Which substance contains positive ions immersed in a sea of mobile electrons? A) O2(s) B) Cu(s) C) CuO(s) D) SiO2(s) 2) The bond between hydrogen and oxygen in

More information

. At first sight a! b seems an unwieldy formula but use of the following mnemonic will possibly help. a 1 a 2 a 3 a 1 a 2

. At first sight a! b seems an unwieldy formula but use of the following mnemonic will possibly help. a 1 a 2 a 3 a 1 a 2 7 CHAPTER THREE. Cross Product Given two vectors = (,, nd = (,, in R, the cross product of nd written! is defined to e: " = (!,!,! Note! clled cross is VECTOR (unlike which is sclr. Exmple (,, " (4,5,6

More information

Algorithmic Aspects of Access Networks Design in B3G/4G Cellular Networks

Algorithmic Aspects of Access Networks Design in B3G/4G Cellular Networks Algorithmi Aspts o Ass Ntworks Dsign in BG/G Cllulr Ntworks Dvi Amzllg, Josph (Si) Nor,DnnyRz Computr Sin Dprtmnt Thnion, Hi 000, Isrl {mzllg,nny}@s.thnion..il Mirosot Rsrh On Mirosot Wy, Rmon, WA 980

More information

Chemistry Diagnostic Questions

Chemistry Diagnostic Questions Chemistry Diagnostic Questions Answer these 40 multiple choice questions and then check your answers, located at the end of this document. If you correctly answered less than 25 questions, you need to

More information

Other Stoich Calculations A. mole mass (mass mole) calculations. GIVEN mol A x CE mol B. PT g A CE mol A MOLE MASS :

Other Stoich Calculations A. mole mass (mass mole) calculations. GIVEN mol A x CE mol B. PT g A CE mol A MOLE MASS : Chem. I Notes Ch. 12, part 2 Using Moles NOTE: Vocabulary terms are in boldface and underlined. Supporting details are in italics. 1 MOLE = 6.02 x 10 23 representative particles (representative particles

More information

ME 612 Metal Forming and Theory of Plasticity. 6. Strain

ME 612 Metal Forming and Theory of Plasticity. 6. Strain Mtal Forming and Thory of Plasticity -mail: azsnalp@gyt.du.tr Makin Mühndisliği Bölümü Gbz Yüksk Tknoloji Enstitüsü 6.1. Uniaxial Strain Figur 6.1 Dfinition of th uniaxial strain (a) Tnsil and (b) Comprssiv.

More information

Got diabetes? Thinking about having a baby?

Got diabetes? Thinking about having a baby? Gt dibts? Thinking but hving bby? U.S. Dprtmnt f Hlth nd Humn Srvics Cntrs fr Diss Cntrl nd Prvntin Dibts nd Prgnncy Dibts is cnditin in which yur bdy cnnt us sugrs nd strchs (crbhydrts) frm fd t mk nrgy.

More information

LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES

LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES DAVID WEBB CONTENTS Liner trnsformtions 2 The representing mtrix of liner trnsformtion 3 3 An ppliction: reflections in the plne 6 4 The lgebr of

More information

NAMING QUIZ 3 - Part A Name: 1. Zinc (II) Nitrate. 5. Silver (I) carbonate. 6. Aluminum acetate. 8. Iron (III) hydroxide

NAMING QUIZ 3 - Part A Name: 1. Zinc (II) Nitrate. 5. Silver (I) carbonate. 6. Aluminum acetate. 8. Iron (III) hydroxide NAMING QUIZ 3 - Part A Name: Write the formulas for the following compounds: 1. Zinc (II) Nitrate 2. Manganese (IV) sulfide 3. Barium permanganate 4. Sulfuric acid 5. Silver (I) carbonate 6. Aluminum acetate

More information

and thus, they are similar. If k = 3 then the Jordan form of both matrices is

and thus, they are similar. If k = 3 then the Jordan form of both matrices is Homework ssignment 11 Section 7. pp. 249-25 Exercise 1. Let N 1 nd N 2 be nilpotent mtrices over the field F. Prove tht N 1 nd N 2 re similr if nd only if they hve the sme miniml polynomil. Solution: If

More information

5.2. LINE INTEGRALS 265. Let us quickly review the kind of integrals we have studied so far before we introduce a new one.

5.2. LINE INTEGRALS 265. Let us quickly review the kind of integrals we have studied so far before we introduce a new one. 5.2. LINE INTEGRALS 265 5.2 Line Integrls 5.2.1 Introduction Let us quickly review the kind of integrls we hve studied so fr before we introduce new one. 1. Definite integrl. Given continuous rel-vlued

More information

CP Chemistry Review for Stoichiometry Test

CP Chemistry Review for Stoichiometry Test CP Chemistry Review for Stoichiometry Test Stoichiometry Problems (one given reactant): 1. Make sure you have a balanced chemical equation 2. Convert to moles of the known substance. (Use the periodic

More information

1. When the following equation is balanced, the coefficient of Al is. Al (s) + H 2 O (l)? Al(OH) 3 (s) + H 2 (g)

1. When the following equation is balanced, the coefficient of Al is. Al (s) + H 2 O (l)? Al(OH) 3 (s) + H 2 (g) 1. When the following equation is balanced, the coefficient of Al is. Al (s) + H 2 O (l)? Al(OH) (s) + H 2 (g) A) 1 B) 2 C) 4 D) 5 E) Al (s) + H 2 O (l)? Al(OH) (s) + H 2 (g) Al (s) + H 2 O (l)? Al(OH)

More information

CHAPTER 3 Calculations with Chemical Formulas and Equations. atoms in a FORMULA UNIT

CHAPTER 3 Calculations with Chemical Formulas and Equations. atoms in a FORMULA UNIT CHAPTER 3 Calculations with Chemical Formulas and Equations MOLECULAR WEIGHT (M. W.) Sum of the Atomic Weights of all atoms in a MOLECULE of a substance. FORMULA WEIGHT (F. W.) Sum of the atomic Weights

More information

WRITING CHEMICAL FORMULA

WRITING CHEMICAL FORMULA WRITING CHEMICAL FORMULA For ionic compounds, the chemical formula must be worked out. You will no longer have the list of ions in the exam (like at GCSE). Instead you must learn some and work out others.

More information

Topic 4 National Chemistry Summary Notes. Formulae, Equations, Balancing Equations and The Mole

Topic 4 National Chemistry Summary Notes. Formulae, Equations, Balancing Equations and The Mole Topic 4 National Chemistry Summary Notes Formulae, Equations, Balancing Equations and The Mole LI 1 The chemical formula of a covalent molecular compound tells us the number of atoms of each element present

More information