Experiment #3. Graphing with Excel

Save this PDF as:

Size: px
Start display at page:

Download "Experiment #3. Graphing with Excel"

Transcription

1 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 menu.html. The "help" functin f Excel als can be useful t answer specific questins. Nte that Excel can eliminate the need t make manual calculatins fr example, in this exercise, instead f using a calculatr t find the natural lg (ln) values, simply type the fllwing in the cell where the ln data is t be put: =ln(x1), where x is the clumn and 1 is the rw f the cell cntaining the data yu want t take the natural lg f. Similarly, t btain the reciprcal f the temperature data, simply type the fllwing in the cell where yu want the reciprcal: =1/x1, where x is the clumn and 1 is the rw f the cell cntaining the temperature data yu want t take the reciprcal f. Yu can use the cut and paste functins t cpy frmulas such as this int the ther cells in the clumn s yu dn't have t retype the frmula each time Excel will autmatically enter the crrespnding VP r T data frm the same rw. If yu take sme time t practice, Excel can becme a very pwerful tl fr yu. Relatinship f Vapr Pressure t Temperature: Develping the Clausius- Clapeyrn Equatin 1. Type in the temperature and vapr pressure data fr Tluene (clumns 1 and 2) int an Excel spreadsheet as seen belw. Label the tp cell in each clumn and include that cell when yu plt the data. T ( C) VP (Trr) T in K 1/T in K VP (Trr) ln (Vapr Pressure) (A) Make clumn 3 by cnverting the temperature in clumn 1 int Kelvin. (B) Make clumn 4 by taking the inverse f the temperature in Kelvin (1/T). (C) Cpy clumn 2 int clumn 5. (D) Make clumn 6 by taking the natural lgarithm (ln) f the VP in Trr. (clumn 5) 3. Yu will be making a series f XY scatter plts. Temperature in sme frm will be the x axis and Vapr Pressure in sme frm will be the y axis. The gal is t find a mathematical relatinship between the x and y data. In chemistry we like straight lines. If the plt yields a straight line then the equatin: y = mx + b can be used. T generate a graph in excel, select the clumns yu want t plt by dragging the cursr while hlding the cntrl buttn (r cmmand buttn n Macs). Excel will autmatically plt the left- hand clumn n the x- axis and the right hand clumn n the y- axis. In this exercise, be sure that yur selected temperature data is n the left side f yur VP data, therwise yur graph will be inverted. This is why we repasted the VP data after the temperature data in ur table.

2 Once the apprpriate data are highlighted, chse the type f graph yu want t generate in Excel. In this class we will always graph using the Marked Scatter Plt ptin in Excel. D nt chse plt ptins that have lines. When we want lines n ur Excel graphs we will add them using the trendline feature. Yu are nt finished! The graph autmatically generated by Excel is never crrectly frmatted fr submissin in a science curse. Belw are features f a gd graph. Be sure any graph yu turn in fr this class adheres t these guidelines. Each versin f excel has different ways t change graph frmatting. If yur versin is different frm the ne in the lab vide n the CHM112 website, yu may need t use yur help buttn t learn hw t make these changes. Give the graph a descriptive title. Dn t just repeat the infrmatin in the axes titles. Pressure vs Temperature fr what? Lk in the instructins abve t find what substance this data is fr. Yur title shuld describe what the experiment was abut. Label axes with the type f unit and the unit itself. Fr example: Temperature ( C). Axes shuld be at the bttm and left f the graph nt in the middle f the data. Remve the legend if it prvides n infrmatin. Mst Excel versins default t having legends fr every graph. If yu are nly pltting ne set f data per graph, the legend cntributes nthing get rid f it. Change the start and end pints f each axis s that the data takes up the majrity f the graph. Excel usually defaults t having bth axes start at zer. This ften leads t the graph having a lt f white space, which we d nt want. Change the minimum value f each axis s that it starts just belw yur lwest data pint. Add a trendline when apprpriate. If yu want t find a mathematical relatinship in the data, be sure t include a trendline and t check the bx t display the equatin n the chart. Yu can als chse t display the R 2 value. The clser the value f R 2 is t 1, the better the fit. Yu will add trendlines t all three graphs in the exercise. Add mre gridlines when apprpriate. In this exercise we are nly cncerned with the trendline, but in sme labs yu will need t estimate a value ff the graph after printing. If this is the case, be sure t add enugh gridlines s that yu can accurately estimate yur value. If yu need t read a value t the nearest 0.1 ml, but yur x- axis nly has gridlines every 5 ml, yur estimate will be pr. Print yur graphs at a reasnable size. Usually abut ½ page is apprpriate. Als print the spreadsheet when asked. With the data in yur tables, generate and print the fllwing graphs as well as yur spreadsheet data and attach them t this lab. (A) Plt VP vs T in K. Add trendlines (bth linear and expnential) and display the equatins fr bth trendlines n the chart. (B) Plt VP vs 1/T in K. Add trendlines (bth linear and expnential) and display the equatins n the chart. (C) Plt ln(vp) vs 1/T in K. Add a linear trendline and display the equatin n the chart.

3 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 equatins displayed) Graph 1 2 Graph 2 2 Graph 3 2 Questin 1 (1 pint each part) 1 Questin 2 (1 pint each part) 6 Questin 3 1 Questin 4 1 Questin 5 (1 pint each part) 5 Ttal 20 Subject t additinal penalties at the discretin f the instructr.

4

5 Graphing with Excel: Pst Lab and Analysis Name: 1. Cnsider Graphs (A) and (B) 2. a) Which trendline was a better fit, the linear r the expnential? b) What was the equatin fr the best fitting trendline fr each graph? Equatin fr Graph A: Equatin fr Graph B: 3. Cnsider Graph (C) a) Did yu btain a linear relatinship fr the data pltted? b) What was the equatin f the best fitting trendline? c) What is the frm f the Clausius- Clapeyrn equatin that we use fr graphing? (the frm that can be written as y = mx + b). d) Based the equatin fr the best fit line (the equatin fr the trendline in C), calculate the enthalpy f vaprizatin (ΔH vap ) fr Tluene in kj/ml. (R = J/ml K.) Shw yur calculatins and all units. e) Is the sign f the ΔH vap that yu calculated psitive r negative? Des this fit with what yu knw abut heat f vaprizatin? Explain yur answer (yur explanatin must be chemistry based and nt mathematical). f) Lk up ΔH vap fr Tluene in a reliable surce (like the CRC handbk f Chemistry and Physics r the NIST Chemistry webbk ( ) and NOT Wikepedia). (Include prper units) ΔH vap = Surce frm where yu btained the data

6 4. Using the equatin fr the best fit line frm Graph C, calculate the vapr pressure f Tluene at 45.0 C. Shw yur wrk. 5. Using the equatin fr the best fit line frm Graph C, calculate the nrmal biling pint f Tluene in C. Recall that nrmal biling pint means that the pressure is 760 trr. Shw yur wrk in detail. 6. Ethanl and dimethyl ether have the same mlecular frmula (C 2 H 6 O) and mlar mass (apprx 46 g/ml). a) Lk up ΔH vap fr bth these cmpunds in a reliable surce (like the CRC handbk f Chemistry and Physics r the NIST Chemistry webbk ( and NOT Wikepedia). List the values belw with the crrect units. ΔH vap fr ethanl = ΔH vap fr dimethyl ether = Surce frm where yu btained the data b) Which f the tw cmpunds has the larger ΔH vap? c) Draw the Lewis structure fr bth cmpunds. d) list the IMFs present in each e) Use yur answers in c) & d) t explain why ne f the cmpunds has a larger ΔH vap.

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

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

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

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

Tutorial 3: Building a spectral library in Skyline

Tutorial 3: Building a spectral library in Skyline SRM Curse 2013 Tutrial 3 Spectral Library Tutrial 3: Building a spectral library in Skyline Spectral libraries fr SRM methd design and fr data analysis can be either directly added t a Skyline dcument

More information

More Tutorial at

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,

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

[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

NUMBERS, MATHEMATICS AND EQUATIONS

NUMBERS, MATHEMATICS AND EQUATIONS AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t

More information

" 1 = # $H vap. Chapter 3 Problems

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

More information

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007 CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is

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

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

AP Chemistry Assessment 2

AP Chemistry Assessment 2 AP Chemistry Assessment 2 DATE OF ADMINISTRATION: January 8 January 12 TOPICS COVERED: Fundatinal Tpics, Reactins, Gases, Thermchemistry, Atmic Structure, Peridicity, and Bnding. MULTIPLE CHOICE KEY AND

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

Lab #3: Pendulum Period and Proportionalities

Lab #3: Pendulum Period and Proportionalities Physics 144 Chwdary Hw Things Wrk Spring 2006 Name: Partners Name(s): Intrductin Lab #3: Pendulum Perid and Prprtinalities Smetimes, it is useful t knw the dependence f ne quantity n anther, like hw the

More information

Chemistry 1A Fall 2000

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

More information

2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS

2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS 2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS 6. An electrchemical cell is cnstructed with an pen switch, as shwn in the diagram abve. A strip f Sn and a strip f an unknwn metal, X, are used as electrdes.

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

Functions. EXPLORE \g the Inverse of ao Exponential Function

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

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

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

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

More information

Name: Block: Date: Science 10: The Great Geyser Experiment A controlled experiment

Name: Block: Date: Science 10: The Great Geyser Experiment A controlled experiment Science 10: The Great Geyser Experiment A cntrlled experiment Yu will prduce a GEYSER by drpping Ments int a bttle f diet pp Sme questins t think abut are: What are yu ging t test? What are yu ging t measure?

More information

AP Statistics Notes Unit Two: The Normal Distributions

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

More information

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

BASIC DIRECT-CURRENT MEASUREMENTS

BASIC DIRECT-CURRENT MEASUREMENTS Brwn University Physics 0040 Intrductin BASIC DIRECT-CURRENT MEASUREMENTS The measurements described here illustrate the peratin f resistrs and capacitrs in electric circuits, and the use f sme standard

More information

CHEM 103 Calorimetry and Hess s Law

CHEM 103 Calorimetry and Hess s Law CHEM 103 Calrimetry and Hess s Law Lecture Ntes March 23, 2006 Prf. Sevian Annuncements Exam #2 is next Thursday, March 30 Study guide, practice exam, and practice exam answer key are already psted n the

More information

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

Please Stop Laughing at Me and Pay it Forward Final Writing Assignment

Please Stop Laughing at Me and Pay it Forward Final Writing Assignment Kirk Please Stp Laughing at Me and Pay it Frward Final Writing Assignment Our fcus fr the past few mnths has been n bullying and hw we treat ther peple. We ve played sme games, read sme articles, read

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

Materials o o o o o o o o o

Materials o o o o o o o o o Experiment 3: Measurements, the Metric System & Density Objective The purpse f experiment is t becme familiar with the metric system by taking measurements using metric. Additinally, the purpse f this

More information

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

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

More information

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

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

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

ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION. Instructions: If asked to label the axes please use real world (contextual) labels

ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION. Instructions: If asked to label the axes please use real world (contextual) labels ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION Instructins: If asked t label the axes please use real wrld (cntextual) labels Multiple Chice Answers: 0 questins x 1.5 = 30 Pints ttal Questin Answer Number 1

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

Sunrise and Sunset Times for the 22 nd of each month of 2012 in New York City

Sunrise and Sunset Times for the 22 nd of each month of 2012 in New York City Sunrise and Sunset Times fr the nd f each mnth f 01 in New Yrk City January 01 Sunrise: 7:14am Sunset: 5:00pm February 01 Sunrise: 6:51am Sunset: 5:38pm March 01 Sunrise: 6:45am Sunset: 7:09pm April 01

More information

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

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

More information

Competency Requirement Details for each badge (information added to badge metadata in

Competency Requirement Details for each badge (information added to badge metadata in Using digital badges fr develping high-schl chemistry labratry skills Nami Hennah and Michael K. Seery 1. Nrthamptn Schl fr Bys, Billing Rd, Nrthamptn NN1 5RT, UK. 2. EaStCHEM Schl f Chemistry, University

More information

Process Engineering Thermodynamics E (4 sp) Exam

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,

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 nd law f Thermdynamics, a prcess is spntaneus if S universe = S system + S surrundings > 0 Even thugh S system

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

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

TP1 - Introduction to ArcGIS

TP1 - Introduction to ArcGIS TP1 - Intrductin t ArcGIS During this practical, we will use ArcGIS (ArcMap and ArcCatalg) t create maps f predictrs that culd explain the bserved bird richness in Switzerland. ArcMap is principally used

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

User Guide: Operation of ActiveAhead Mobile Application

User Guide: Operation of ActiveAhead Mobile Application 1 (11) User Guide: Operatin f ActiveAhead Mbile Applicatin The ActiveAhead mbile applicatin allws yu t adjust the luminaire parameters f an ActiveAhead slutin. T use this applicatin yu must have an apprved

More information

Finding the Earth s magnetic field

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

More information

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

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

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

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

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

MATHEMATICS Higher Grade - Paper I

MATHEMATICS Higher Grade - Paper I Higher Mathematics - Practice Eaminatin B Please nte the frmat f this practice eaminatin is different frm the current frmat. The paper timings are different and calculatrs can be used thrughut. MATHEMATICS

More information

Astro 102 Lab #2. 1) Learning the user interface and setting up your home location

Astro 102 Lab #2. 1) Learning the user interface and setting up your home location Name: Astr 102 Lab #2 Lab bjectives 1) Learn hw t use the Stellarium planetarium prgram by becming familiar with the user interface and cnfiguring the planetarium t yur present lcatin n Earth 2) Learn

More information

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

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

More information

ECE 545 Project Deliverables

ECE 545 Project Deliverables ECE 545 Prject Deliverables Tp-level flder: _ Secnd-level flders: 1_assumptins 2_blck_diagrams 3_interface 4_ASM_charts 5_surce_cde 6_verificatin 7_timing_analysis 8_results

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

DINGWALL ACADEMY NATIONAL QUALIFICATIONS. Mathematics Higher Prelim Examination 2010/2011 Paper 1 Assessing Units 1 & 2.

DINGWALL ACADEMY NATIONAL QUALIFICATIONS. Mathematics Higher Prelim Examination 2010/2011 Paper 1 Assessing Units 1 & 2. INGWLL EMY Mathematics Higher Prelim Eaminatin 00/0 Paper ssessing Units & NTIONL QULIFITIONS Time allwed - hur 0 minutes Read carefull alculatrs ma NOT be used in this paper. Sectin - Questins - 0 (0

More information

Corrections for the textbook answers: Sec 6.1 #8h)covert angle to a positive by adding period #9b) # rad/sec

Corrections for the textbook answers: Sec 6.1 #8h)covert angle to a positive by adding period #9b) # rad/sec U n i t 6 AdvF Date: Name: Trignmetric Functins Unit 6 Tentative TEST date Big idea/learning Gals In this unit yu will study trignmetric functins frm grade, hwever everything will be dne in radian measure.

More information

Preparation work for A2 Mathematics [2017]

Preparation work for A2 Mathematics [2017] Preparatin wrk fr A2 Mathematics [2017] The wrk studied in Y12 after the return frm study leave is frm the Cre 3 mdule f the A2 Mathematics curse. This wrk will nly be reviewed during Year 13, it will

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

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

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng

More information

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

Revised 2/07. Projectile Motion

Revised 2/07. Projectile Motion LPC Phsics Reised /07 Prjectile Mtin Prjectile Mtin Purpse: T measure the dependence f the range f a prjectile n initial elcit height and firing angle. Als, t erif predictins made the b equatins gerning

More information

Chapters 29 and 35 Thermochemistry and Chemical Thermodynamics

Chapters 29 and 35 Thermochemistry and Chemical Thermodynamics Chapters 9 and 35 Thermchemistry and Chemical Thermdynamics 1 Cpyright (c) 011 by Michael A. Janusa, PhD. All rights reserved. Thermchemistry Thermchemistry is the study f the energy effects that accmpany

More information

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

DINGWALL ACADEMY NATIONAL QUALIFICATIONS. Mathematics Higher Prelim Examination 2009/2010 Paper 1 Assessing Units 1 & 2. Time allowed - 1 hour 30

DINGWALL ACADEMY NATIONAL QUALIFICATIONS. Mathematics Higher Prelim Examination 2009/2010 Paper 1 Assessing Units 1 & 2. Time allowed - 1 hour 30 INGWLL EMY Mathematics Higher Prelim Eaminatin 009/00 Paper ssessing Units & NTIONL QULIFITIONS Time allwed - hur 0 minutes Read carefull alculatrs ma NOT be used in this paper. Sectin - Questins - 0 (0

More information

Exercise - INSTRUCTIONS

Exercise - INSTRUCTIONS Learning mdule: Create Cmb Charts Exercise - INSTRUCTIONS Using the Example Dwnlad instructins n the right, pen the Create Cmb Chart_Exercise.qvf file. This app already cntains data, but has n sheets r

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

Turing Machines. Human-aware Robotics. 2017/10/17 & 19 Chapter 3.2 & 3.3 in Sipser Ø Announcement:

Turing Machines. Human-aware Robotics. 2017/10/17 & 19 Chapter 3.2 & 3.3 in Sipser Ø Announcement: Turing Machines Human-aware Rbtics 2017/10/17 & 19 Chapter 3.2 & 3.3 in Sipser Ø Annuncement: q q q q Slides fr this lecture are here: http://www.public.asu.edu/~yzhan442/teaching/cse355/lectures/tm-ii.pdf

More information

Trigonometry, 8th ed; Lial, Hornsby, Schneider

Trigonometry, 8th ed; Lial, Hornsby, Schneider Trignmetry, 8th ed; Lial, Hrnsby, Schneider Trignmetry Final Exam Review: Chapters 7, 8, 9 Nte: A prtin f Exam will cver Chapters 1 6, s be sure yu rewrk prblems frm the first and secnd exams and frm 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

Higher Mathematics Booklet CONTENTS

Higher Mathematics Booklet CONTENTS Higher Mathematics Bklet CONTENTS Frmula List Item Pages The Straight Line Hmewrk The Straight Line Hmewrk Functins Hmewrk 3 Functins Hmewrk 4 Recurrence Relatins Hmewrk 5 Differentiatin Hmewrk 6 Differentiatin

More information

Basics. Primary School learning about place value is often forgotten and can be reinforced at home.

Basics. Primary School learning about place value is often forgotten and can be reinforced at home. Basics When pupils cme t secndary schl they start a lt f different subjects and have a lt f new interests but it is still imprtant that they practise their basic number wrk which may nt be reinfrced as

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

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

Synchronous Motor V-Curves

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

More information

READING STATECHART DIAGRAMS

READING STATECHART DIAGRAMS READING STATECHART DIAGRAMS Figure 4.48 A Statechart diagram with events The diagram in Figure 4.48 shws all states that the bject plane can be in during the curse f its life. Furthermre, it shws the pssible

More information

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

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

More information

Fall 2013 Physics 172 Recitation 3 Momentum and Springs

Fall 2013 Physics 172 Recitation 3 Momentum and Springs Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.

More information

0606 ADDITIONAL MATHEMATICS

0606 ADDITIONAL MATHEMATICS PAPA CAMBRIDGE CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge Internatinal General Certificate f Secndary Educatin MARK SCHEME fr the Octber/Nvember 0 series 0606 ADDITIONAL MATHEMATICS 0606/ Paper, maimum

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

West Deptford Middle School 8th Grade Curriculum Unit 4 Investigate Bivariate Data

West Deptford Middle School 8th Grade Curriculum Unit 4 Investigate Bivariate Data West Deptfrd Middle Schl 8th Grade Curriculum Unit 4 Investigate Bivariate Data Office f Curriculum and Instructin West Deptfrd Middle Schl 675 Grve Rd, Paulsbr, NJ 08066 wdeptfrd.k12.nj.us (856) 848-1200

More information

1 PreCalculus AP Unit G Rotational Trig (MCR) Name:

1 PreCalculus AP Unit G Rotational Trig (MCR) Name: 1 PreCalculus AP Unit G Rtatinal Trig (MCR) Name: Big idea In this unit yu will extend yur knwledge f SOH CAH TOA t wrk with btuse and reflex angles. This extensin will invlve the unit circle which will

More information

I.S. 239 Mark Twain. Grade 7 Mathematics Spring Performance Task: Proportional Relationships

I.S. 239 Mark Twain. Grade 7 Mathematics Spring Performance Task: Proportional Relationships I.S. 239 Mark Twain 7 ID Name: Date: Grade 7 Mathematics Spring Perfrmance Task: Prprtinal Relatinships Directins: Cmplete all parts f each sheet fr each given task. Be sure t read thrugh the rubrics s

More information

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes Chemistry 20 Lessn 11 Electrnegativity, Plarity and Shapes In ur previus wrk we learned why atms frm cvalent bnds and hw t draw the resulting rganizatin f atms. In this lessn we will learn (a) hw the cmbinatin

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

EASTERN ARIZONA COLLEGE Precalculus Trigonometry

EASTERN ARIZONA COLLEGE Precalculus Trigonometry EASTERN ARIZONA COLLEGE Precalculus Trignmetry Curse Design 2017-2018 Curse Infrmatin Divisin Mathematics Curse Number MAT 181 Title Precalculus Trignmetry Credits 3 Develped by Gary Rth Lecture/Lab Rati

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

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

TEST 3A AP Statistics Name: Directions: Work on these sheets. A standard normal table is attached.

TEST 3A AP Statistics Name: Directions: Work on these sheets. A standard normal table is attached. TEST 3A AP Statistics Name: Directins: Wrk n these sheets. A standard nrmal table is attached. Part 1: Multiple Chice. Circle the letter crrespnding t the best answer. 1. In a statistics curse, a linear

More information

Department: MATHEMATICS

Department: MATHEMATICS Cde: MATH 022 Title: ALGEBRA SKILLS Institute: STEM Department: MATHEMATICS Curse Descriptin: This curse prvides students wh have cmpleted MATH 021 with the necessary skills and cncepts t cntinue the study

More information

COMP 551 Applied Machine Learning Lecture 11: Support Vector Machines

COMP 551 Applied Machine Learning Lecture 11: Support Vector Machines COMP 551 Applied Machine Learning Lecture 11: Supprt Vectr Machines Instructr: (jpineau@cs.mcgill.ca) Class web page: www.cs.mcgill.ca/~jpineau/cmp551 Unless therwise nted, all material psted fr this curse

More information

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

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

More information

Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education

Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education Cambridge Assessment Internatinal Educatin Cambridge Internatinal General Certificate f Secndary Educatin ADDITIONAL MATHEMATICS 0606/1 Paper 1 MARK SCHEME Maximum Mark: 80 Published This mark scheme is

More information

5 th grade Common Core Standards

5 th grade Common Core Standards 5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin

More information

Cambridge Assessment International Education Cambridge Ordinary Level. Published

Cambridge Assessment International Education Cambridge Ordinary Level. Published Cambridge Assessment Internatinal Educatin Cambridge Ordinary Level ADDITIONAL MATHEMATICS 4037/1 Paper 1 Octber/Nvember 017 MARK SCHEME Maximum Mark: 80 Published This mark scheme is published as an aid

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

CHEM 116 Concentrations and Colligative Properties

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

More information

Chapter 4 Thermodynamics and Equilibrium

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

More information