# Autumn 2012 CHEM452B Bruce H. Robinson 322 Gould Hall HW 10(A) Homework 10A KEY (there will not be a 10B) 2

Save this PDF as:

Size: px
Start display at page:

Download "Autumn 2012 CHEM452B Bruce H. Robinson 322 Gould Hall HW 10(A) Homework 10A KEY (there will not be a 10B) 2"

## Transcription

1 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) Hmewrk 0A KEY (there will nt be a 0B) QA) Let c be the speed f sund in air. he square f the speed f sund, () f the gas with respect t the change in the density ( ) f the gas, at cnstant entrpy (sund travels adiabatically) Yu might check ut the Wikipedia n Speed f Sund. c, equals the change in the pressure A) Re-express the abve wrds int an equatin (that then will need t be slved t determine the actual speed f sund). c U B) simplify the analysis f the equatin f A: Evaluate the derivative that relates the density t the mlar vlume. (Yu will need this t simplify the expressin f A); M M W WC d M W d MW C). Frm this expressin, and the cyclic rule, relate the speed f sund t the mlecular weight and the temperature assuming an ideal diatmic gas. Using the abve tw expressins, relate c t the derivative S S d d c n n d S nm S d W S S c S C nmw S nm W C IG.. R nm W M W c C C C C C C IG.. 7 D) At rm temperature, 5 C, what is the speed f sund fr an average air atm weighing 9 g/mle. Cmpare yur answer t the actual speed f sund. Assume air behaves as an ideal gas. 7 7 c R R 45m 5 M W 5 M W sec his answer is extremely clse t the experimental speed f sund. E) what is the mean square velcity f the gas under the same cnditins as D)? Why is the rt-means-square velcity different frm the speed f sund? m v R v rms v R 506 m M W sec he speed f sund is a unidirectinal prpagatin which des arise frm the mbility f the gas mlecules. It seems t make sense that the velcity f directed infrmatin wuld be slwer than the randm mtin f the mlecules. But realize, the mlecular mtin is what causes sund t prpagate in a medium at all. 5

2 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) Q) Shw that the reversible wrk W=-d cannt be an equatin f state. Use the Universal Equatin f state t shw this is nt pssible. First use the fact that is a state functin t relate beta and kappa: ln ln Nw, using that use the Euler test n the wrk: dw d d d w w 0 Q) Fr a simple A t B transitin (which can include a chemical reactin), it is instructive t realize all needed quantities fllw frm the chemical ptential. rimarily we are thinking f a transitin such as ice t water but it applies t a change between any tw states. he general expressins are given: B A Using dg Expressin d Sd d Let us assume that the chemical ptential has a simple dependence n the pressure and temperature: [his dependence is nt necessarily true fr any system, it is made up t shw hw the chemical ptential is used t derive the phase transitin -- r the equilibrium status f a chemical reactin.] A) he first item is: Find the relatin f and when the tw phases are in equilibrium. 0 B) Shw that yu can get H and Sbth frm the chemical ptential. Give explicit equatins fr H and Sthis this particular cases f

3 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) S and H C) art B) gave H and S, frm the chemical ptential. Nw shw that H S equals the riginal. S H H S D) Shw, fr equilibrium (r cexistence) H S (Ntice this is nly true at equilibrium, nt all the time, but it is cnsistent with the riginal result in A). S H H S E) Derive frm the chemical ptential an expressin fr: F) Using the general frm f the chemical ptential, develp the Clausius Clapeyrn Equatin 0 d Sd d d S d d d H G) Slve the general Clausius-Clapeyrn equatin fr the specific frm f the enthalpy, H, yu fund in C) and btain a relatin between and. [It is nt suppsed t lk like anything else yu have seen.] H d H d d d d d d d 0

4 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) H) Shw that the result f as a functin f is the same as yu fund in A), but nw yu went thrugh the differential frms and the expressin fr the enthalpy. Frm A gt that 0 nw we get the analgus answer that 0 0 d. 4A) Breathalyzer tests are based n Henry s law. A sample f breath taken frm a driver has a partial pressure f ethanl which is atm. What is the percentage by weight f ethanl in the breath? Assume ethanl frms a Henry s Law slutin in the saliva and that ethanl in the breath is in equilibrium with ethanl in the saliva. Assume the Henry s Law cnstant fr ethanl is.0 0 atm. he vapr pressure f pure ethanl is much higher than water. Ethanl bils at 78.4C, and at 5C has a vapr pressure f 59. mmhg r trr. K H HO We nw have the mle fractin but need the weight fractin. Assume in water f 8g/mle, ethanl is 46 g/mle. In an arbitrary vlume,, the mass fractin f ethanl is: met met net 46 f % msl mwater nwater 8 Is the persn drunk? In the breath finding 0. mg in liter f air (breath) cnverts t 0.0 g in a deciliter f bld (this 0.0% f alchl). he legal max limit is 0.08% in the bld. he density f water is gram/cc r kg/liter r 00 grams in ne deciliter. Using the abve mass fractin then there is 0.6 grams f ethanl in the persn s bld which is indeed way ver the limit 6/8 = times legal max. Q5) Imagine an ideal slutin in equilibrium with its vapr. Let the mle fractin f cmpnent i in slutin = x i. Let the mle fractin f cmpnent i in vapr = y i. he partial pressures f the gaseus cmpnents are i = y i where is the ttal pressure and i = and y i =.One way f writing Rault s Law is i = x i, where x i =. (Reading Sectin 8. in the text will be useful fr answering these questins) he pint f the exercise is simply t understand smething abut bubble pints, dew pints, and biling pints f mixtures. a. Fr a binary mixture f tw cmpnents ( and ), find an equatin fr using nly,, and x. his is the bubble pint line. If the pressure n a binary slutin is reduced frm a high value, nce the pressure crsses the bubble pint, bubbles f vapr will frm in slutin. hink f a bttle f Cke r beer. he cntents are under pressure. When yu pen the bttle, the pressure drps and bubbles frm in slutin. x y i x x x x i i i i b. Find an equatin fr y using nly,, and x. Answer : y x y x x x y x x

5 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) c. Rearrange the equatin frm part (b) t find an equatin fr x using nly,, and y. x y x y y x x y x y y y d. Use the infrmatin abve t verify that: x y y x y y y x x y y his equatin relates the ttal pressure t the mle fractin f cmpnent in the vapr phase. his is the equatin fr the dew pint line. At lw pressures the system is in a vapr. When the pressure is raised t when it crsses the dew pint line, cndensatin causes drplets f liquid t frm. e. he same definitins abve can be used t understand hw slutins bil. Given that a tluene-benzene slutin bils at 00 C at.00 atm, and that = 0.74 atm and =.800 atm, find: i. the mle fractin x f tluene in the slutin (Answer: x = 0.76) x y x y.80 x x ii. the mle fractin y f tluene in the vapr (Answer: y = 0.56) x y Q6) Benzene (Bnz) and Acetne (Ace) frm an ideal slutin at 00K (i.e. the mixture beys Rault's law). and Ace 50. rr and Bnz 00. rr.[yu shuld sketch a pressure v. cmpsitin diagram. It might help in grading.] A) he pressure is reduced n the liquid (mixture) until the first vapr frms and the vapr at this pint is 75% benzene, ybnz What is the ttal pressure n the vapr at this pint? he best way t wrk this n an exam is g in a different rder. he direct expressin is rather awkward and takes a while t develp, but as we have it abve, trr y B) What is the mle fractin f the acetne in the liquid?

6 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) x y y x C) If the pressure is reduced further, when the last trace f liquid disappears what is the mle fractin f acetne in the vapr? y 0.7, relative cmpsitin des nt change but we mve frm a liquid t a vapr (r gas). D) If the pressure is reduced further, at what pressure des the last trace f liquid disappear? Qualitatively we will be very clse (but abve) 00 trr. Given y 0.7, we can directly cmpute the ttal pressure. x y y i xi i i i E) What is the mle fractin f acetne in the last trace f liquid? x y x y y x It is almst pure benzene at this pint. Just as the vapr is enriched by the mre vlatile cmpnent, nw the liquid is enriched by the less vlatile cmpnent (the benzene). Additinal practice questin fr the final exam: EQ) Osmtic ressure he Clumbia river drains int the acific Ocean at a rate f 7,500 m f water/sec. he river is fresh water, and the cean is salt water, which is abut M in ins ttal (nt wrrying abut which kind, but basically NaCl). A) If there were a semi-permeable membrane that let water thrugh but nt salt, hw great wuld the smtic pressure be between the cean and the river? c R Atm slute B) One atmsphere f smtic pressure will raise water feet r 0 meters. Using the smtic pressure hw high wuld the cean rise cmpared t the fresh water? h meters C) his membrane then culd act like a dam with the height given by part B). Hw much energy wuld be captured by a turbine run by the water falling ver a barrier such as this? [Hint: Cmpute the ptential energy difference fr the water frm the tp t the bttm f a height generated by the smtic pressure.] he mass f water is kg/liter r 0 kg/m. E mgh J.4 MJ m m D) [Fllwing what yu did in part C).] What is the ptential energy utput (in Jules) fr ne cubic meter f water t fall 00 meters? E mgh J.9 MJ m m

7 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) 6 E) A typical pwer plant generates 600 MW r J sec. Given that the Clumbia drains 7,500 m sec f water hw many pwer plants culd be replaced by a 00 meter high dam at the muth f the Clumbia? [he US uses abut 5000 such plants fr the entire US electrical need.] E MJ 7.50 m 50 MJ m sec sec 50 MJ E sec 5 pwer plants 600 MJ sec/ pwer plant kj vap. mle EQ) Water bils at 00C at ne atmsphere, the heat f vaprizatin is H 40 [Explain what apprximatins yu use t determine yur results?] Water is 55M, r A) What is the partial pressure f the water abve a.0 M NaCl slutin f water at 00C? he chemical ptentials f the water is lwered, s the gas must d the same (at 00C). g g g R ln R ln g g salt g Atm At 00C, expect water t be nearly biling, but nw salt is added and this reduces the partial pressure by making the liquid mre stable. B) At what temperature will the slutin frm part A) bil? Use the C.C. equatin and ntice that the pressure is.97 at 00C and want t find where =Atm H ln R 40 ln C mle

8 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) EQ) Benzene and luene frm an ideal slutin at 00K (i.e. the mixture beys Rault's law). 0.0rr and 90.0rr. he liquid is cmpsed f mles f tluene and mles f tluene Benzene benzene. [Yu may want t sketch a pressure vs. cmpsitin diagram.] B=benzene, A=tluene a) At what pressure des the first vapr frm? x trr i i i ure liquid is.4 mle fractin Benzene, and.6 luene. b) What is the cmpsitin f the first trace f vapr frmed? x y x i i.490 yi 0.67 trr Benzene 54 c) If the pressure is reduced further, at what pressure des the last trace f liquid disappear? Benzene 0.4 yi.4.6 xi i trr d) What is the cmpsitin f the last trace f liquid? y x y y i 0.44 xi 0.8 trr Benzene i 90 his set f questins is very similar t the ne abve with Acetne and Benzene. Nw the benzene is the mre vlatile cmpnent. EQ4) he partial pressure f ethanl and water as a functin f the mle fractin, at 5C, are given. trr trr HO

9 Autumn 0 CHEM45B Bruce H. Rbinsn Guld Hall HW 0(A) Using this data determine Henry s cnstant fr ethanl in water and water in ethanl. As develped in class the Henry s cnstant is fund in the limit as the mle fractin f ethanl ges t zer fr the Henry s law cnstant f ethanl, where the water is taken t satisfy Rault s law (in this limit, as the slvent). K trr trr HO HO K K H lim K H 0 HO HO = =trr=0.atm

### 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

### Chemistry 114 First Hour Exam

Chemistry 114 First Hur Exam Please shw all wrk fr partial credit Name: (4 pints) 1. (12 pints) Espress is made by frcing very ht water under high pressure thrugh finely grund, cmpacted cffee. (Wikipedia)

### " 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 Tutorial at

Answer each questin in the space prvided; use back f page if extra space is needed. Answer questins s the grader can READILY understand yur wrk; nly wrk n the exam sheet will be cnsidered. Write answers,

### A.P. CHEMISTRY. SOLUTIONS AND ACID BASE CHEMISTRY. p 1

A.P. CHEMISTRY. SOLUTIONS AND ACID BASE CHEMISTRY. p 1 (Nte: questins 1 t 14 are meant t be dne WITHOUT calculatrs!) 1.Which f the fllwing is prbably true fr a slid slute with a highly endthermic heat

### 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

### Chem 116 POGIL Worksheet - Week 4 Properties of Solutions

Chem 116 POGIL Wrksheet - Week 4 Prperties f Slutins Key Questins 1. Identify the principal type f slute-slvent interactin that is respnsible fr frming the fllwing slutins: (a) KNO 3 in water; (b) Br 2

### Experiment #3. Graphing with Excel

Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-

### ALE 21. Gibbs Free Energy. At what temperature does the spontaneity of a reaction change?

Name Chem 163 Sectin: Team Number: ALE 21. Gibbs Free Energy (Reference: 20.3 Silberberg 5 th editin) At what temperature des the spntaneity f a reactin change? The Mdel: The Definitin f Free Energy S

### 1/2 and e0 e s ' 1+ imm w 4 M s 3 πρ0 r 3 m. n 0 ktr. .Also,since n 0 ktr 1,wehave. 4 3 M sπρ 0 r 3. ktr. 3 M sπρ 0

Chapter 6 6.1 Shw that fr a very weak slutin drplet (m 4 3 πr3 ρ 0 M s ), (6.8) can be written as e 0 ' 1+ a r b r 3 where a σ 0 /n 0 kt and b imm w / 4 3 M sπρ 0. What is yur interpretatin f thecnd and

### CHM112 Lab Graphing with Excel Grading Rubric

Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline

### Lecture 12: Chemical reaction equilibria

3.012 Fundamentals f Materials Science Fall 2005 Lecture 12: 10.19.05 Chemical reactin equilibria Tday: LAST TIME...2 EQUATING CHEMICAL POTENTIALS DURING REACTIONS...3 The extent f reactin...3 The simplest

### CHEM 116 Concentrations and Colligative Properties

UMass stn, Chem 116 CHEM 116 Cncentratins and Clligative Prperties FSG is Mndays 11:00 am Lecture 10 Prf. Sevian and Tuesdays 3:30 pm bth in S-1-89 Tday s agenda Ways f expressing cncentratin Clligative

### 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,

### Edexcel IGCSE Chemistry. Topic 1: Principles of chemistry. Chemical formulae, equations and calculations. Notes.

Edexcel IGCSE Chemistry Tpic 1: Principles f chemistry Chemical frmulae, equatins and calculatins Ntes 1.25 write wrd equatins and balanced chemical equatins (including state symbls): fr reactins studied

### AP 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

### Thermodynamics 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!)

### Chapter Outline 4/28/2014. P-V Work. P-V Work. Isolated, Closed and Open Systems. Exothermic and Endothermic Processes. E = q + w

Islated, Clsed and Open Systems 9.1 Energy as a Reactant r a Prduct 9.2 Transferring Heat and Ding Wrk 9.5 Heats f Reactin and Calrimetry 9.6 Hess s Law and Standard Heats f Reactin 9.7 Heats f Reactin

### CHEM-443, Fall 2013, Section 010 Midterm 2 November 4, 2013

CHEM-443, Fall 2013, Sectin 010 Student Name Midterm 2 Nvember 4, 2013 Directins: Please answer each questin t the best f yur ability. Make sure yur respnse is legible, precise, includes relevant dimensinal

### Unit 11 Solutions- Guided Notes. What are alloys? What is the difference between heterogeneous and homogeneous mixtures?

Name: Perid: Unit 11 Slutins- Guided Ntes Mixtures: What is a mixture and give examples? What is a pure substance? What are allys? What is the difference between hetergeneus and hmgeneus mixtures? Slutins:

### 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

### Differentiation Applications 1: Related Rates

Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

### 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

### General 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

### Semester 2 AP Chemistry Unit 12

Cmmn In Effect and Buffers PwerPint The cmmn in effect The shift in equilibrium caused by the additin f a cmpund having an in in cmmn with the disslved substance The presence f the excess ins frm the disslved

### ( ) 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

### 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

### Compressibility Effects

Definitin f Cmpressibility All real substances are cmpressible t sme greater r lesser extent; that is, when yu squeeze r press n them, their density will change The amunt by which a substance can be cmpressed

### 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

### SPH3U1 Lesson 06 Kinematics

PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.

### 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

### CHEM 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

### Chapter 17: Thermodynamics: Spontaneous and Nonspontaneous Reactions and Processes

Chapter 17: hermdynamics: Spntaneus and Nnspntaneus Reactins and Prcesses Learning Objectives 17.1: Spntaneus Prcesses Cmparing and Cntrasting the hree Laws f hermdynamics (1 st Law: Chap. 5; 2 nd & 3

### Unit 9: The Mole- Guided Notes What is a Mole?

Unit 9: The Mle- Guided Ntes What is a Mle? A mle is a name fr a specific f things Similar t a r a One mle is equal t 602 602,000,000,000,000,000,000,000 That s 602 with zers A mle is NOT an abbreviatin

### 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

### 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 keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring

### Chapter 4 Thermodynamics and Equilibrium

Chapter Thermdynamics and Equilibrium Refer t the fllwing figures fr Exercises 1-6. Each represents the energies f fur mlecules at a given instant, and the dtted lines represent the allwed energies. Assume

### Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion

Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals f Diffusin Diffusin: Transprt in a slid, liquid, r gas driven by a cncentratin gradient (r, in the case f mass transprt, a chemical ptential

### Entropy, Free Energy, and Equilibrium

Nv. 26 Chapter 19 Chemical Thermdynamics Entrpy, Free Energy, and Equilibrium Nv. 26 Spntaneus Physical and Chemical Prcesses Thermdynamics: cncerned with the questin: can a reactin ccur? A waterfall runs

### CHAPTER Read Chapter 17, sections 1,2,3. End of Chapter problems: 25

CHAPTER 17 1. Read Chapter 17, sectins 1,2,3. End f Chapter prblems: 25 2. Suppse yu are playing a game that uses tw dice. If yu cunt the dts n the dice, yu culd have anywhere frm 2 t 12. The ways f prducing

### A Few Basic Facts About Isothermal Mass Transfer in a Binary Mixture

Few asic Facts but Isthermal Mass Transfer in a inary Miture David Keffer Department f Chemical Engineering University f Tennessee first begun: pril 22, 2004 last updated: January 13, 2006 dkeffer@utk.edu

### AP Physics Kinematic Wrap Up

AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x

### 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

### CHAPTER 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

### O C S polar - greater force. H polar greater force. H polar. polar H-bond

hapter 10 : 29, 30, 31, 33, 36, 40, 46, 48, 50, 72, 87, 91, 93, 110 29. a. Lndn e. Lndn b. diple-diple f. diple-diple c. -bnding g. in-in d. in-in 30. a. in-in e. -bnding b. Lndn f. diple-diple c. Lndn

### Chemistry/ Biotechnology Reference Sheets

Cmmn Metric Prefixes: Giga (G) = 1,000,000,000 = Kil (k) = 1,000 = Deci (d) =.1 = Milli (m) =.001 = Nan (n) =.000000001 = 9 6 1 10 Mega (M) = 1,000,000 = 1 10 0 1 10 Basic unit = meter, gram, liter, secnd

### Process Engineering Thermodynamics E (4 sp) Exam

Prcess Engineering Thermdynamics 42434 E (4 sp) Exam 9-3-29 ll supprt material is allwed except fr telecmmunicatin devices. 4 questins give max. 3 pints = 7½ + 7½ + 7½ + 7½ pints Belw 6 questins are given,

### GASES. 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

### This section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving.

Sectin 3.2: Many f yu WILL need t watch the crrespnding vides fr this sectin n MyOpenMath! This sectin is primarily fcused n tls t aid us in finding rts/zers/ -intercepts f plynmials. Essentially, ur fcus

### 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 keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring

### MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b

. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but

### Unit 14 Thermochemistry Notes

Name KEY Perid CRHS Academic Chemistry Unit 14 Thermchemistry Ntes Quiz Date Exam Date Lab Dates Ntes, Hmewrk, Exam Reviews and Their KEYS lcated n CRHS Academic Chemistry Website: https://cincchem.pbwrks.cm

### Thermochemistry. Thermochemistry

Thermchemistry Petrucci, Harwd and Herring: Chapter 7 CHEM 1000A 3.0 Thermchemistry 1 Thermchemistry The study energy in chemical reactins A sub-discipline thermdynamics Thermdynamics studies the bulk

### Part a: Writing the nodal equations and solving for v o gives the magnitude and phase response: tan ( 0.25 )

+ - Hmewrk 0 Slutin ) In the circuit belw: a. Find the magnitude and phase respnse. b. What kind f filter is it? c. At what frequency is the respnse 0.707 if the generatr has a ltage f? d. What is the

### / / 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

### [COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t o m a k e s u r e y o u a r e r e a d y )

(Abut the final) [COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t m a k e s u r e y u a r e r e a d y ) The department writes the final exam s I dn't really knw what's n it and I can't very well

### **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

### Physics 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

### CHM 152 Practice Final

CM 152 Practice Final 1. Of the fllwing, the ne that wuld have the greatest entrpy (if cmpared at the same temperature) is, [a] 2 O (s) [b] 2 O (l) [c] 2 O (g) [d] All wuld have the same entrpy at the

### Introduction to Spacetime Geometry

Intrductin t Spacetime Gemetry Let s start with a review f a basic feature f Euclidean gemetry, the Pythagrean therem. In a twdimensinal crdinate system we can relate the length f a line segment t the

### Types of Energy COMMON MISCONCEPTIONS CHEMICAL REACTIONS INVOLVE ENERGY

CHEMICAL REACTIONS INVOLVE ENERGY The study energy and its transrmatins is knwn as thermdynamics. The discussin thermdynamics invlve the cncepts energy, wrk, and heat. Types Energy Ptential energy is stred

### Accelerated 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

### 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

### REVIEW QUESTIONS Chapter 13

Chemistry 11 ANSWERE KEY REVIEW QUESIONS Chapter 1 1. Cmmercial nitric acid has a density 1.2 g/ml and is 16. M. Calculate the mass percent and mlality HNO in this slutin. Assume 1 L slutin: 6.2 g 16.

### Trigonometric Ratios Unit 5 Tentative TEST date

1 U n i t 5 11U Date: Name: Trignmetric Ratis Unit 5 Tentative TEST date Big idea/learning Gals In this unit yu will extend yur knwledge f SOH CAH TOA t wrk with btuse and reflex angles. This extensin

### o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions.

BASD High Schl Frmal Lab Reprt GENERAL INFORMATION 12 pt Times New Rman fnt Duble-spaced, if required by yur teacher 1 inch margins n all sides (tp, bttm, left, and right) Always write in third persn (avid

### Chemistry 1A Fall 2000

Chemistry 1A Fall 2000 Midterm Exam III, versin B Nvember 14, 2000 (Clsed bk, 90 minutes, 155 pints) Name: SID: Sectin Number: T.A. Name: Exam infrmatin, extra directins, and useful hints t maximize yur

### 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 keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring

### CHEM 1413 Chapter 6 Homework Questions TEXTBOOK HOMEWORK

CHEM 1413 Chapter 6 Hmewrk Questins TEXTBOOK HOMEWORK 6.25 A 27.7-g sample f the radiatr clant ethylene glycl releases 688 J f heat. What was the initial temperature f the sample if the final temperature

### ChE 471: LECTURE 4 Fall 2003

ChE 47: LECTURE 4 Fall 003 IDEL RECTORS One f the key gals f chemical reactin engineering is t quantify the relatinship between prductin rate, reactr size, reactin kinetics and selected perating cnditins.

### Three 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)

### CHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came.

MATH 1342 Ch. 24 April 25 and 27, 2013 Page 1 f 5 CHAPTER 24: INFERENCE IN REGRESSION Chapters 4 and 5: Relatinships between tw quantitative variables. Be able t Make a graph (scatterplt) Summarize the

### Part 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

### Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law

Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential

### 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

### Chapter 3 Kinematics in Two Dimensions; Vectors

Chapter 3 Kinematics in Tw Dimensins; Vectrs Vectrs and Scalars Additin f Vectrs Graphical Methds (One and Tw- Dimensin) Multiplicatin f a Vectr b a Scalar Subtractin f Vectrs Graphical Methds Adding Vectrs

### How can standard heats of formation be used to calculate the heat of a reaction?

Answer Key ALE 28. ess s Law and Standard Enthalpies Frmatin (Reerence: Chapter 6 - Silberberg 4 th editin) Imprtant!! Fr answers that invlve a calculatin yu must shw yur wrk neatly using dimensinal analysis

### 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,

### Activity Guide Loops and Random Numbers

Unit 3 Lessn 7 Name(s) Perid Date Activity Guide Lps and Randm Numbers CS Cntent Lps are a relatively straightfrward idea in prgramming - yu want a certain chunk f cde t run repeatedly - but it takes a

### 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

### When a substance heats up (absorbs heat) it is an endothermic reaction with a (+)q

Chemistry Ntes Lecture 15 [st] 3/6/09 IMPORTANT NOTES: -( We finished using the lecture slides frm lecture 14) -In class the challenge prblem was passed ut, it is due Tuesday at :00 P.M. SHARP, :01 is

### General Chemistry II, Unit II: Study Guide (part 1)

General Chemistry II, Unit II: Study Guide (part 1) CDS Chapter 21: Reactin Equilibrium in the Gas Phase General Chemistry II Unit II Part 1 1 Intrductin Sme chemical reactins have a significant amunt

### 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 keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring

### Session #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

### CHAPTER 6 -- ENERGY. Approach #2: Using the component of mg along the line of d:

Slutins--Ch. 6 (Energy) CHAPTER 6 -- ENERGY 6.) The f.b.d. shwn t the right has been prvided t identify all the frces acting n the bdy as it mves up the incline. a.) T determine the wrk dne by gravity

### Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System

Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed

### Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System

Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed

### 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

### Functions. EXPLORE \g the Inverse of ao Exponential Function

ifeg Seepe3 Functins Essential questin: What are the characteristics f lgarithmic functins? Recall that if/(x) is a ne-t-ne functin, then the graphs f/(x) and its inverse,/'~\x}, are reflectins f each

### Chem 111 Summer 2013 Key III Whelan

Chem 111 Summer 2013 Key III Whelan Questin 1 6 Pints Classify each f the fllwing mlecules as plar r nnplar? a) NO + : c) CH 2 Cl 2 : b) XeF 4 : Questin 2 The hypthetical mlecule PY 3 Z 2 has the general

### N 2 (g) + 3H 2 (g) 2NH 3 (g) o Three mole ratios can be derived from the balanced equation above: Example: Li(s) + O 2 (g) Li 2 O(s)

Chapter 9 - Stichimetry Sectin 9.1 Intrductin t Stichimetry Types f Stichimetry Prblems Given is in mles and unknwn is in mles. Given is in mles and unknwn is in mass (grams). Given is in mass and unknwn

### Phy 212: General Physics II 1 Chapter 18 Worksheet 3/20/2008

Phy 1: General Physics II 1 hapter 18 rksheet 3/0/008 Thermal Expansin: 1. A wedding ring cmpsed f pure gld (inner diameter = 1.5 x 10 - m) is placed n a persn s finger (diameter = 1.5 x 10 - m). Bth the

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

Chem 116 POGIL Wrksheet - Week 3 Intermlecular Frces, Liquids, Slids, and Slutins Why? Mst substances can exist in either gas, liquid, r slid phase under apprpriate cnditins f temperature and pressure.

### 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

v07.08.04 007, Michael E. Hanyak, Jr., All Rights Reserved age 7-8 Energy Balance Intrductin Functinal frm: Hw t evaluate hmix,,? [ X H 0.60* + 0.40* + Δ () mix Ĥ is mlar enthalpy (kj/gml) f mixture at

### How can standard heats of formation be used to calculate the heat of a reaction?

Name Chem 161, Sectin: Grup Number: ALE 28. Hess s Law and Standard Enthalpies Frmatin (Reerence: Chapter 6 - Silberberg 5 th editin) Imprtant!! Fr answers that invlve a calculatin yu must shw yur wrk

### Name AP CHEM / / Chapter 1 Chemical Foundations

Name AP CHEM / / Chapter 1 Chemical Fundatins 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 value and anther.

### REVIEW QUESTIONS Chapter 18. H = H (Products) - H (Reactants) H (Products) = (1 x -125) + (3 x -271) = -938 kj

Chemistry 102 ANSWER KEY REVIEW QUESTIONS Chapter 18 1. Calculate the heat reactin ( H ) in kj/ml r the reactin shwn belw, given the H values r each substance: NH (g) + F 2 (g) NF (g) + HF (g) H (kj/ml)