SUMMER REV: Half-Life DUE DATE: JULY 2 nd

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

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

Transcription

1 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 as billins f years. Many radiistpes are used by scientists t determine the age f ancient artifacts and rcks. Thse istpes with very shrt half-lives are als used in nuclear medicine since they d nt pse a lng-term radiatin hazard t patients. Since half-lives are cnstants fr radiistpes never altering r changing time they can be used t date artifacts, fssils, and rck samples. Success Criteria Calculate the amunt f time that has passed fr a sample with a knwn half-life. Calculate the half-life f a sample with a knwn decay amunt ver a set time perid. Calculate the amunt f a sample that will remain after a set time perid with a knwn half-life. Identify parent and daughter elements during a decay series. Infrmatin A half-life (t ½ ) is the time required fr ne-half f the nuclei f a radiistpe sample t decay t prducts. After each half-life, half f the existing radiactive atms (parent element) have decayed int atms f a new element (daughter element). Equatin ln [ A ] = ( ) t A 0 t ½ ln = natural lg (anti- ln = e x ) A t = amunt f radiactive istpe at time sample is taken A 0 = amunt f radiactive istpe at time = 0 (start) t = time t ½ = half-life Intrductry PhET: Radiactive Dating Game Prcedure: PhET Chemistry Radiactive Dating Game 1. Hw many prtns des Carbn-14 have? 2. Hw many neutrns des Carbn-14 have? 3. Add a Carbn-14 atm t the play area. What happens t that Carbn-14 atm? 4. Click the buttn at the bttm f the windw. 5. Click the buttn belw the Bucket Atms repeatedly, until there are n mre atms left in the bucket. 6. There are nw 100 carbn-14 atms n the screen. The half-life f carbn-14 is abut 5700 years. If yu left thse 100 carbn-14 atms t sit arund fr 5700 years, hw many wuld yu expect t decay during that time? 7. Click the Play buttn at the bttm f the windw. Watch the graph at the tp f the windw carefully. Was yur predictin frm #6 crrect? Was it clse?

2 S U M M E R R E V : H a l f - L i f e 2 8. Click and then repeat steps #4-7. Was yur predictin frm #6 crrect this time? Was it clse? 9. Is radiactive decay an exactly predictable prcess r a statistical prcess? 10. D all Carbn-14 s decay at the same time? 11. Add 50 Carbn-14s. What happens? 12. and Using 20 Carbn-14s, draw the pie graph at the fllwing time perids: 5000 Years years years Red the abve with 100 Carbn-14 atms and fill in the three bxes belw Years years years Hw d the pie graphs f 20 atms cmpare t thse f 100 atms? Generally, des the size f a radiactive sample affect half-life? Why/Why nt? Cnsider Uranium Carbn-14 s half-life was measured in thusands (5700) f years. Abut hw lng is Uranian- 238 s half-life? Hw many prtns des U-238 have? Hw many neutrns? Int what atm des Uranium-238 decay? Des the size f the sample f Uranium-238 affect its half-life? Abut that Unknwn Element. Hw wuld yu determine the half-life f this unknwn element? Write up a little plan here: Estimate the half-life f this element. secnds. 1. Click the Decay Rates tab at the tp f the screen. 2. On the right side f the screen, click the buttn next t Uraniam-238. This time we will watch the decay f this atm. Uranium-238 has a half-life f abut 4.5 billin years.

3 S U M M E R R E V : H a l f - L i f e 3 3. On the bucket f atms, there is a slider. Drag the slider all the way t the right and watch the graph at the bttm f the screen. 4. Fill in the answers in this table: After ne half-life (4.5 billin years), what percent f the riginal uranium remains? After tw half-lives (9 billin years), what percent f the riginal uranium remains? After three half-lives (13.5 billin years), what percent f the riginal uranium remains? After fur half-lives (18 billin years), what percent f the riginal uranium wuld remain? 5. Suppse yu fund a rck, and thrugh testing fund ut that it had just as much lead-206 as uranium-238 in it. Hw ld wuld yu cnclude the rck t be? Observe the decay curves ( % remaining vs time) fr Carbn-14 and Uranium-238. Sketch the decay curve fr thse istpes here: Carbn-14 Uranium-238 Mdel 1: Sample Decay Refer t the series f pictures belw t answer yur key questins. Dark pixels are radiactive atms, light pixels are stable atms. Each picture represents the passage f a half-life. 1. Wuld yu describe the pattern f radiactive decay f the nuclides t be in a specific rder r randm? Explain. 2. Des the rate f decay remain the same as yu prgress thrugh the pictures? Explain any changes yu see. 3. In Mdel 1, which atms are cnsidered t be the parent element and the daughter element?

4 Mdel 2: Parent and Daughter Atms S U M M E R R E V : H a l f - L i f e 4 4. What is the relatinship between a parent atm and a daughter atm? 5. After tw half-lives, hw many parent atms remain radiactive? Hw many daughter atms were frmed? 6. What is the mathematical relatinship between the decay f the parent atm and the frmatin f the daughter element? Mdel 3: Half-Lives f Radiactive Elements Sdium-24 has a half-life f 15 hurs. The fllwing shws the decay rate if we start with 64 grams f 24 Na. # Of Half-Lives Time (+ 15h) 0h 15h 30h 45h 60h 75h 90h 105h Mass f 24 Na 64g 32g 16g 8g 4g 2g 1g 0.5g 7. Why is the number f half-lives and time recrded as zer fr the starting amunt f 24 Na? 8. Hw much time is added t each half-life? Why? 9. Hw much des the mass f radiactive sdium-24 decrease fr each half-life? Why? 10. What happens t the 24 Na atms that decay? (Where d they g?)

5 S U M M E R R E V : H a l f - L i f e 5 Practice 11. Manganese-56 is a beta emitter with a half-life f 2.6 hurs. What is the mass f manganese-56 in a 1.0 mg sample remaining at the end f 13.0 hurs? Cmplete the table belw fr yur answer. # Of Half-Lives Time (+ 2.6h) 0h 2.6h 5.2h 7.8h 10.4h 13.0h Mass 56 Mn 1.0mg 12. The mass f a cbalt-60 sample is fund t have decreased frm g t g in a perid f 10.5 years. Frm this infrmatin, calculate the half-life f cbalt-60. (Hint: Cmplete the Mass rw first, then fill in the rest.) # Of Half-Lives 0 Time (+?) 0y Mass 60 C 0.800g 13. Carbn-14 has a half-life f 5730 years. After an rganism dies, it stps taking in radiactive carbn-14 frm the envirnment. If the carbn-14:carbn-12 rati in a piece f petrified wd is ne sixteenth (1/16) f the rati in living matter, hw ld is the rck? (Hint: Start ff with a sample size f 1 and use fractins fr yur amunts.) # Of Half-Lives 0 Time 0y Amunt f 14 C 1

6 S U M M E R R E V : H a l f - L i f e 6 MODEL 4: The Half-life Equatin Nt all f yur half-life prblems will be in whle half-lives. Fr thse that d nt, yu will need t calculate them using the natural lg (ln). [A] = Amunt f A r the amunt f yur radiactive istpe remaining 14. Can yu write the slpe intercept (y = mx + b) equatin fr the half-life graph n the LEFT? Explain yur answer. 15. Which f the fllwing is the prper slpe intercept equatin fr the equatin n the RIGHT? Explain yur answer. a. ln[a] = kt + ln[a 0 ] b. ln[a] = kt - ln[a 0 ] c. ln[a] = -kt + ln[a 0 ] The equatin in #2 can be slved we can shw yu the math if yu want fr half-life (t ½ ) and rewritten as: ln [ A ] = ( ) t A 0 t ½ Practice Prblems 16. The half-life f 161 Tb is 6.9 days. Hw many grams f an riginal 5.70-g sample will remain after 27 days? 17. If yu start with a 325-g sample f 188 Au, hw lng will it take t decay t 247 g? (t 1/2 = 8.8 min)

Accelerated Chemistry POGIL: Half-life

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

More information

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

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

More information

Differentiation Applications 1: Related Rates

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

More information

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

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

More information

SPH3U1 Lesson 06 Kinematics

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.

More information

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

**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!** Tpics lists: UV-Vis Absrbance Spectrscpy Lab & ChemActivity 3-6 (nly thrugh 4) I. UV-Vis Absrbance Spectrscpy Lab Beer s law Relates cncentratin f a chemical species in a slutin and the absrbance f that

More information

Name: Period: Date: ATOMIC STRUCTURE NOTES ADVANCED CHEMISTRY

Name: 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 information

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

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

More information

Math 105: Review for Exam I - Solutions

Math 105: Review for Exam I - Solutions 1. Let f(x) = 3 + x + 5. Math 105: Review fr Exam I - Slutins (a) What is the natural dmain f f? [ 5, ), which means all reals greater than r equal t 5 (b) What is the range f f? [3, ), which means all

More information

Student Exploration: Cell Energy Cycle

Student Exploration: Cell Energy Cycle Name: Date: Student Explratin: Cell Energy Cycle Vcabulary: aerbic respiratin, anaerbic respiratin, ATP, cellular respiratin, chemical energy, chlrphyll, chlrplast, cytplasm, glucse, glyclysis, mitchndria,

More information

EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017

EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017 OBJECTIVES 1. Ft Pressure EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017 Determine the surface area f an bject. Given the weight and surface area, calculate the pressure. 2. Measuring Vlume & Mass Prvided a

More information

AQA GCSE Physics. Topic 4: Atomic Structure. Notes. (Content in bold is for Higher Tier only)

AQA 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 information

Physics 2010 Motion with Constant Acceleration Experiment 1

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

More information

EXAM #1 PHYSICAL SCIENCE 103 Spring, 2016

EXAM #1 PHYSICAL SCIENCE 103 Spring, 2016 OBJECTIVES 1. Ft Pressure EXAM #1 PHYSICAL SCIENCE 103 Spring, 2016 Determine the surface area f an bject. Given the weight and surface area, calculate the pressure. 2. Measuring Vlume & Mass Prvided a

More information

3. Classify the following Numbers (Counting (natural), Whole, Integers, Rational, Irrational)

3. Classify the following Numbers (Counting (natural), Whole, Integers, Rational, Irrational) After yu cmplete each cncept give yurself a rating 1. 15 5 2 (5 3) 2. 2 4-8 (2 5) 3. Classify the fllwing Numbers (Cunting (natural), Whle, Integers, Ratinal, Irratinal) a. 7 b. 2 3 c. 2 4. Are negative

More information

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

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

More information

/ / Chemistry. Chapter 1 Chemical Foundations

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

More information

Session #22: Homework Solutions

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

More information

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

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s .9 Kinetic Mlecular Thery Calculate the effective (rms) speeds f the He and Ne atms in the He-Ne gas laser tube at rm temperature (300 K). Slutin T find the rt mean square velcity (v rms ) f He atms at

More information

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

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

More information

Chemistry 114 First Hour Exam

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)

More information

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

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

More information

CHM 152 Practice Final

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

More information

Weathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science

Weathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science Weathering Title: Chemical and Mechanical Weathering Grade Level: 9-12 Subject/Cntent: Earth and Space Science Summary f Lessn: Students will test hw chemical and mechanical weathering can affect a rck

More information

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)

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

More information

Thermodynamics and Equilibrium

Thermodynamics and Equilibrium Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,

More information

1. 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 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 information

Section 5.1 Organizing the Elements (pages

Section 5.1 Organizing the Elements (pages ,f Name Class Date The Peridic Table Sectin 5.1 rganizing the Elements (pages 126-1291 This sectin explains hw Mendeleea rganized elements int a peridic table, It als discusses the predictins he made abut

More information

Lim f (x) e. Find the largest possible domain and its discontinuity points. Why is it discontinuous at those points (if any)?

Lim f (x) e. Find the largest possible domain and its discontinuity points. Why is it discontinuous at those points (if any)? THESE ARE SAMPLE QUESTIONS FOR EACH OF THE STUDENT LEARNING OUTCOMES (SLO) SET FOR THIS COURSE. SLO 1: Understand and use the cncept f the limit f a functin i. Use prperties f limits and ther techniques,

More information

Relationships Between Frequency, Capacitance, Inductance and Reactance.

Relationships Between Frequency, Capacitance, Inductance and Reactance. P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead

More information

Introduction to Smith Charts

Introduction to Smith Charts Intrductin t Smith Charts Dr. Russell P. Jedlicka Klipsch Schl f Electrical and Cmputer Engineering New Mexic State University as Cruces, NM 88003 September 2002 EE521 ecture 3 08/22/02 Smith Chart Summary

More information

Unit 1 Study Guide Name Date Scientific Method Notes

Unit 1 Study Guide Name Date Scientific Method Notes Unit 1 Study Guide Name Date Scientific Methd Ntes 1) What is the difference between an bservatin and an inference? 2) What are the tw types f bservatins? Give examples f each type. 3) Define the fllwing:

More information

Experiment #3. Graphing with Excel

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-

More information

CHAPTER PRACTICE PROBLEMS CHEMISTRY

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

More information

Biochemistry Summer Packet

Biochemistry Summer Packet Bichemistry Summer Packet Science Basics 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.

More information

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

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

More information

Regents Chemistry Period Unit 3: Atomic Structure. Unit 3 Vocabulary..Due: Test Day

Regents Chemistry Period Unit 3: Atomic Structure. Unit 3 Vocabulary..Due: Test Day Name Skills: 1. Interpreting Mdels f the Atm 2. Determining the number f subatmic particles 3. Determine P, e-, n fr ins 4. Distinguish istpes frm ther atms/ins Regents Chemistry Perid Unit 3: Atmic Structure

More information

Chem 75 February 16, 2017 Exam 2 Solutions

Chem 75 February 16, 2017 Exam 2 Solutions 1. (6 + 6 pints) Tw quick questins: (a) The Handbk f Chemistry and Physics tells us, crrectly, that CCl 4 bils nrmally at 76.7 C, but its mlar enthalpy f vaprizatin is listed in ne place as 34.6 kj ml

More information

Unit 14 Thermochemistry Notes

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

More information

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

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

More information

Name AP CHEM / / Chapter 1 Chemical Foundations

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.

More information

If (IV) is (increased, decreased, changed), then (DV) will (increase, decrease, change) because (reason based on prior research).

If (IV) is (increased, decreased, changed), then (DV) will (increase, decrease, change) because (reason based on prior research). Science Fair Prject Set Up Instructins 1) Hypthesis Statement 2) Materials List 3) Prcedures 4) Safety Instructins 5) Data Table 1) Hw t write a HYPOTHESIS STATEMENT Use the fllwing frmat: If (IV) is (increased,

More information

1.2.1 Vectors. 1 P age. Examples What is the reference vector angle for a vector that points 50 degrees east of south?

1.2.1 Vectors. 1 P age. Examples What is the reference vector angle for a vector that points 50 degrees east of south? 1.2.1 Vectrs Definitins Vectrs are represented n paper by arrws directin = magnitude = Examples f vectrs: Examples What is the reference vectr angle fr a vectr that pints 50 degrees east f suth? What is

More information

LHS Mathematics Department Honors Pre-Calculus Final Exam 2002 Answers

LHS Mathematics Department Honors Pre-Calculus Final Exam 2002 Answers LHS Mathematics Department Hnrs Pre-alculus Final Eam nswers Part Shrt Prblems The table at the right gives the ppulatin f Massachusetts ver the past several decades Using an epnential mdel, predict the

More information

PHYS 219 Spring semester Lecture 28: Radioactive Decay. Ron Reifenberger Birck Nanotechnology Center Purdue University

PHYS 219 Spring semester Lecture 28: Radioactive Decay. Ron Reifenberger Birck Nanotechnology Center Purdue University PHYS 219 Spring semester 2014 Lecture 28: Radiactive Decay Rn Reifenberger Birck Nantechnlgy Center Purdue University PHYS 219 Test III Friday; May 9, 2014 1 PM-3 PM PHYS 1 Lecture 28 1 Radiactivity Early

More information

M thematics. National 5 Practice Paper D. Paper 1. Duration 1 hour. Total marks 40

M thematics. National 5 Practice Paper D. Paper 1. Duration 1 hour. Total marks 40 N5 M thematics Natinal 5 Practice Paper D Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain

More information

CHM112 Lab Graphing with Excel Grading Rubric

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

More information

You need to be able to define the following terms and answer basic questions about them:

You need to be able to define the following terms and answer basic questions about them: CS440/ECE448 Sectin Q Fall 2017 Midterm Review Yu need t be able t define the fllwing terms and answer basic questins abut them: Intr t AI, agents and envirnments Pssible definitins f AI, prs and cns f

More information

Kepler's Laws of Planetary Motion

Kepler's Laws of Planetary Motion Writing Assignment Essay n Kepler s Laws. Yu have been prvided tw shrt articles n Kepler s Three Laws f Planetary Mtin. Yu are t first read the articles t better understand what these laws are, what they

More information

Isotopes. Isotopes. Isotopes. Stable Isotopes C 13 C 14 C. Oxygen Isotopes

Isotopes. Isotopes. Isotopes. Stable Isotopes C 13 C 14 C. Oxygen Isotopes Istpes Istpes Same Z, different A (variable # f neutrns) General ntatin fr a nuclide: 4 6C Reading: Winter, Chapter 9, pp. 67-80 Istpes Have the same Z but different A (variable # f neutrns) General ntatin

More information

, which yields. where z1. and z2

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

More information

11. DUAL NATURE OF RADIATION AND MATTER

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 information

PHOTOSYNTHESIS THE PRACTICALS 16 APRIL 2014

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

More information

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

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

More information

Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1

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

More information

Activity Guide Loops and Random Numbers

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

More information

UNIT 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 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 information

Hubble s Law PHYS 1301

Hubble s Law PHYS 1301 1 PHYS 1301 Hubble s Law Why: The lab will verify Hubble s law fr the expansin f the universe which is ne f the imprtant cnsequences f general relativity. What: Frm measurements f the angular size and

More information

Kinetic Model Completeness

Kinetic Model Completeness 5.68J/10.652J Spring 2003 Lecture Ntes Tuesday April 15, 2003 Kinetic Mdel Cmpleteness We say a chemical kinetic mdel is cmplete fr a particular reactin cnditin when it cntains all the species and reactins

More information

4 Fe + 3 O 2 2 Fe 2 O 3

4 Fe + 3 O 2 2 Fe 2 O 3 UNIT 7: STOICHIOMETRY NOTES (chapter 9) INTRO TO STOICHIOMETRY Reactin Stichimetry: Stichimetry is simply a way t shw f smething this is. Relatinship between a given and an unknwn: GIVEN UNKNOWN Type 1

More information

Unit 1: Introduction to Biology

Unit 1: Introduction to Biology Name: Unit 1: Intrductin t Bilgy Theme: Frm mlecules t rganisms Students will be able t: 1.1 Plan and cnduct an investigatin: Define the questin, develp a hypthesis, design an experiment and cllect infrmatin,

More information

Pipetting 101 Developed by BSU CityLab

Pipetting 101 Developed by BSU CityLab Discver the Micrbes Within: The Wlbachia Prject Pipetting 101 Develped by BSU CityLab Clr Cmparisns Pipetting Exercise #1 STUDENT OBJECTIVES Students will be able t: Chse the crrect size micrpipette fr

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

How do scientists measure trees? What is DBH?

How do scientists measure trees? What is DBH? Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between

More information

First Semester 6 th Grade Exam Review

First Semester 6 th Grade Exam Review Name: Perid First Semester 6 th Grade Exam Review Exam Schedule: Tuesday, Dec. 18 th -4 th Perid Wednesday, Dec 19 th - 2 nd & 7 th Perids Thursday, Dec. 20 th - 3 rd and 6 th Perids Friday, Dec. 21 th

More information

Find this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.

Find this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site. Find this material useful? Yu can help ur team t keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring

More information

Five Whys How To Do It Better

Five Whys How To Do It Better Five Whys Definitin. As explained in the previus article, we define rt cause as simply the uncvering f hw the current prblem came int being. Fr a simple causal chain, it is the entire chain. Fr a cmplex

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference 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 information

A B C. 2. Some genes are not regulated by gene switches. These genes are expressed constantly. What kinds of genes would be expressed constantly?

A B C. 2. Some genes are not regulated by gene switches. These genes are expressed constantly. What kinds of genes would be expressed constantly? STO-143 Gene Switches Intrductin Bacteria need t be very efficient and nly prduce specific prteins when they are needed. Making prteins that are nt needed fr everyday cell metablism wastes energy and raw

More information

Chapter 5: Diffusion (2)

Chapter 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 information

CHEMISTRY 1903 SHI-LING KOU 2011

CHEMISTRY 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 information

AP Physics Laboratory #4.1: Projectile Launcher

AP Physics Laboratory #4.1: Projectile Launcher AP Physics Labratry #4.1: Prjectile Launcher Name: Date: Lab Partners: EQUIPMENT NEEDED PASCO Prjectile Launcher, Timer, Phtgates, Time f Flight Accessry PURPOSE The purpse f this Labratry is t use the

More information

Find this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.

Find this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site. Find this material useful? Yu can help ur team t keep this site up and bring yu even mre cntent cnsider dnating via the link n ur site. Still having truble understanding the material? Check ut ur Tutring

More information

Hess Law - Enthalpy of Formation of Solid NH 4 Cl

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

More information

[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 )

[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

More information

4. Find a, b, and c. 6. Find x and y.

4. Find a, b, and c. 6. Find x and y. Grace Brethren Christian Schl Entering Trig/Analysis: Page f Summer Packet fr Students entering Trig/Analysis Review prblems frm Gemetry: Shw yur wrk!. Twice the cmplement f angle A is 35 less than the

More information

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

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

More information

ABSORPTION OF GAMMA RAYS

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

More information

d sinθ = mλ Interference and diffraction double slit or diffraction grating d sinθ = mλ d sinθ is the path difference x (small angle approximation)

d 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 information

Computational modeling techniques

Computational modeling techniques Cmputatinal mdeling techniques Lecture 2: Mdeling change. In Petre Department f IT, Åb Akademi http://users.ab.fi/ipetre/cmpmd/ Cntent f the lecture Basic paradigm f mdeling change Examples Linear dynamical

More information

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

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

More information

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

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

More information

The standards are taught in the following sequence.

The standards are taught in the following sequence. B L U E V A L L E Y D I S T R I C T C U R R I C U L U M MATHEMATICS Third Grade In grade 3, instructinal time shuld fcus n fur critical areas: (1) develping understanding f multiplicatin and divisin and

More information

Group Color: Subgroup Number: How Science Works. Grade 5. Module 2. Class Question: Scientist (Your Name): Teacher s Name: SciTrek Volunteer s Name:

Group Color: Subgroup Number: How Science Works. Grade 5. Module 2. Class Question: Scientist (Your Name): Teacher s Name: SciTrek Volunteer s Name: Grup Clr: Subgrup Number: Hw Science Wrks Grade 5 Mdule 2 Class Questin: Scientist (Yur Name): Teacher s Name: SciTrek Vlunteer s Name: VOCABULARY Science: The study f the material wrld using human reasn.

More information

AP Physics Kinematic Wrap Up

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

More information

Name: Period: Date: PERIODIC TABLE NOTES ADVANCED CHEMISTRY

Name: 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 information

Modelling of Clock Behaviour. Don Percival. Applied Physics Laboratory University of Washington Seattle, Washington, USA

Modelling of Clock Behaviour. Don Percival. Applied Physics Laboratory University of Washington Seattle, Washington, USA Mdelling f Clck Behaviur Dn Percival Applied Physics Labratry University f Washingtn Seattle, Washingtn, USA verheads and paper fr talk available at http://faculty.washingtn.edu/dbp/talks.html 1 Overview

More information

Introduction to Spacetime Geometry

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

More information

]] Representing Numbers

]] Representing Numbers g-i ]] Representing Numbers Represent 3-digit numbers in different ways. 1. Write each number as a numeral, a) three hundred twenty-ne 321 b) tw hundred ninety-five 295 c) five hundred sixty 5 Q. 2. Write

More information

Exponential Functions, Growth and Decay

Exponential Functions, Growth and Decay Name..Class. Date. Expnential Functins, Grwth and Decay Essential questin: What are the characteristics f an expnential junctin? In an expnential functin, the variable is an expnent. The parent functin

More information

Name: Period: Date: PERIODIC TABLE NOTES HONORS CHEMISTRY

Name: 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 information

Concept Category 2. Trigonometry & The Unit Circle

Concept Category 2. Trigonometry & The Unit Circle Cncept Categry 2 Trignmetry & The Unit Circle Skill Checklist Use special right triangles t express values f fr the six trig functins Evaluate sine csine and tangent using the unit circle Slve tw-step

More information

Associated Students Flacks Internship

Associated Students Flacks Internship Assciated Students Flacks Internship 2016-2017 Applicatin Persnal Infrmatin: Name: Address: Phne #: Years at UCSB: Cumulative GPA: E-mail: Majr(s)/Minr(s): Units Cmpleted: Tw persnal references (Different

More information

CHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review

CHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review Review Accrding t the 2 nd law f Thermdynamics, a prcess is spntaneus if S universe = S system + S surrundings > 0 Even thugh S system

More information

Lab 1 The Scientific Method

Lab 1 The Scientific Method INTRODUCTION The fllwing labratry exercise is designed t give yu, the student, an pprtunity t explre unknwn systems, r universes, and hypthesize pssible rules which may gvern the behavir within them. Scientific

More information

Trigonometric Ratios Unit 5 Tentative TEST date

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

More information

ENSC Discrete Time Systems. Project Outline. Semester

ENSC Discrete Time Systems. Project Outline. Semester ENSC 49 - iscrete Time Systems Prject Outline Semester 006-1. Objectives The gal f the prject is t design a channel fading simulatr. Upn successful cmpletin f the prject, yu will reinfrce yur understanding

More information

Review Problems 3. Four FIR Filter Types

Review Problems 3. Four FIR Filter Types Review Prblems 3 Fur FIR Filter Types Fur types f FIR linear phase digital filters have cefficients h(n fr 0 n M. They are defined as fllws: Type I: h(n = h(m-n and M even. Type II: h(n = h(m-n and M dd.

More information