University Physics AI No. 11 Kinetic Theory
|
|
|
- Delilah McDonald
- 9 years ago
- Views:
Transcription
1 Unersty hyscs AI No. 11 Knetc heory Class Number Name I.Choose the Correct Answer 1. Whch type o deal gas wll hae the largest alue or C -C? ( D (A Monatomc (B Datomc (C olyatomc (D he alue wll be the same or all. he derence between the molar specc heat at constant pressure and that at constant olume s equal to the unersal gas constant: C -C R.. What would be the most lkely alue or C, the molar heat capacty at constant temperature? ( D (A 0 (B 0< C < C (C C <C <C (D C Usng the denton o the molar specc heat: heat capacty s C. C molar 1 dq, so when constant, the molar n d. Whch o the ollowng speeds ddes the molecules n a gas n thermal equlbrum so that hal hae speeds aster, and hal hae speeds slower? ( B (A p (B a (C rms (D Non o the aboe. Accordng to the physcal meanng o p,, and gas so that hal hae speeds aster, and hal hae speeds slower. a rms, non o them ddes the molecules n a 4. Whch o the ollowng speeds corresponds to a molecule wth the aerage knetc energy? ( C (A p (B a (C rms (D Non o the aboe he aerage knetc energy s 1 ae m, and or rms, we hae 1 ae m rms, hen the answer s (C.
2 II. Flg the Blanks 1. he number o partcles n a cubc mllmeter o a gas at temperature 7 K and 1.00 atm pressure s.9 1. o get a eeg or the order o magntude o ths number, the age o the unerse n seconds assumng t s 15 bllon years old s s. he number o partcles s Q nr N nn R A N A N nn A he age o the unerse n seconds s (s 1. A sample o oxygen gas (O s at temperature 00 K and 1.00 atm pressure. One molecule, wth a speed equal to the rms speed, makes a head-on elastc collson wth your nose. Ouch! he magntude o the mpulse mparted to your schnozzle s Kg m/s. he speed o an oxygen molecule s R / ( 1/ rms ( 48.59(m/s M Usng the Impulse-Momentum heorem, the magntude o the mpulse mparted to the schnozzle s I m M N A (Kg m/s. When helum atoms hae an rms speed equal to the escape speed rom the surace o the Earth ( escape 11. km/s, the temperature s.01 4 K. Accordng to the problem R rms ( M 1/ rmsm ( So the temperature s.01 (K R he rms speed o hydrogen gas (H at temperature 00 K n the atmosphere s 1.9 km/s. Compare t wth the escape speed rom the Earth (11. km/s. Snce hydrogen s the least masse gas, hydrogen molecules wll hae the hghest rms speeds at a gen temperature. How can ths calculaton explan why there s essentally no hydrogen gas n the atmosphere o the Earth?
3 he rms speed o hydrogen gas s rms R ( 1/ ( M 1/ 1.9 (m/s he rms speed o hydrogen gas s less than the escape speed rom the Earth (11. km/s. Snce hydrogen s the least masse gas, hydrogen molecules hae the hghest rms speeds at a gen temperature. Hydrogen hae hghest escape rate n the atmosphere o the Earth, so there s ery ew hydrogen gas n the atmosphere o the Earth. 5. he aerage knetc energy o a partcle n a gas at temperature s gen by Equaton 14.1: ae k, or 1 m k. he specal theory o relatty states that there s an upper lmt on the speed o an partcle: the speed o lght c.00 8 m/s. For a gas o hydrogen atoms, the mmedately precedng equaton mples an upper lmt on the temperature. he absolute temperature such that or a gas o hydrogen atoms s equal to the square o the speed o lght s 4.5 K. In act, there s no upper lmt on the temperature; so the classcal expresson or the knetc energy cannot be ald or speeds approachng the speed o lght. Accordng to the problem c, so m k mc k 8 ( (K III. Ge the Solutons o the Followng roblems 1. Consder helum gas at temperature 00 K near the surace o the Earth. (a Calculate the aerage knetc energy o one o the helum atoms. (b Calculate the gratatonal potental energy o a sngle helum atom near the surace o the Earth. Choose the zero o gratatonal potental energy to be nntely ar away rom the Earth. (c What s the absolute alue o the rato o the gratatonal potental energy o the helum atom to ts aerage knetc energy? Is t justable to neglect the gratatonal potental energy n theory? Why or why not? (a he aerage knetc energy o one o the helum atoms s ae k (J (b he gratatonal potental energy o a sngle helum atom near the surace o the Earth s E gra mgrearth (J
4 (c he absolute alue o the rato s E gra 1 ae 7 It s justable to neglect the gratatonal potental energy n theory. As the aerage knetc energy s a statstcal alue or the whole system regardless the gratatonal potental energy.. A well-nsulated 4.00 lter box contans a partton ddng the box nto two equal olumes as shown n Fgure 1. Intally,.00 g o molecular hydrogen gas (H at 00 K s conned to the let-hand sde o the partton, and the other hal s a acuum. (a What s the rms speed o the partcles n the gas? (b What s the ntal pressure o the gas? (c he partton s remoed or broken suddenly, so that the gas now s contaned throughout the entre box. Assume that the gas s deal. Does the temperature o the gas change? What s the change n the nternal energy o the system? (d When the gas reaches equlbrum, what s the nal pressure? (a he rms speed o the partcles n the gas s Insulaton Gas hn partton acuum Fg.1 rms R ( 1/ ( M 1/ (b Usng the equaton o state or an deal gas: nr So the ntal pressure o the gas s 1.9 m M R (m/s m R (a M (c he temperature s not changed. he nternal energy o the system s not changed too. (d Because t s so ast that the gas reaches equlbrum. So t s an adabatc process. For 00K and 1 1, So the nal pressure s (a. A gas ntally at temperature, pressure and olume has ts pressure reduced to a nal alue a one o the ollowng types o processes: (1 sochorc; ( sothermal; ( adabatc. (a Sketch each process schematcally on a - dagram. (b In whch process s the work done by the gas zero? (c In whch process s the work done by the gas greatest?
5 (d Show that the rato o the absolute magntude o the heat transer to the gas durng the sothermal process to that durng the sochorc process s Qsothermal R Qsochorc c (e In whch process s the absolute magntude o the change n the nternal energy o the gas the greatest? Explan your reasonng. (a Isochorc process Isothermal process Adabatc process (b See the area under the cure o the graph, the work done by the gas s zero n sochorc process. (c See the area under the cure o the graph, the work done by the gas s greatest n sothermal process. (d For sothermal process: So the heat transer s For sochorc process: Q sothermal nr nr So the heat transer s Q nc Q sochorc ( Qsochorc nc hus the rato o the absolute magntude o the heat transer to the gas durng the sothermal process to that durng the sochorc process s
6 Q Q sothermal sochorc nr nc ( C R ( R C (e For sothermal process: U 1 0. Usng the rst law o thermodynamcs, or an adabatc process: Q 0 U For sochorc process: W 0 U W nc ( Q nc ( Q > U > U So the absolute magntude o the change n the nternal energy o the gas s the greatest n adabatc process. 4. An deal gas experences an adabatc compresson rom 1kpa,.7m, -.0 C to 1450kpa, 1.m. (a Calculate the alue o γ. (b Fnd the nal temperature. (c How many moles o gas are present? (d What s the total translatonal knetc energy per mole beore and ater the compresson? (e Calculate the rato o the rms speed beore to that ater the compresson. (a For adabatc process:, γ 1450 γ.7 γ 1450 Hence ( ( γ 1 1., γ (b Usng the equaton o state or an deal gas: nr, we hae (7 So the nal temperature s 77.(K 1.7 (c Usng the equaton o state or an deal gas: nr, we hae
7 1.7 n 7.97 (mole R 8.15 (7 (dhe total translatonal knetc energy per mole beore and ater the compresson s beore ater n R (J n R (J (e he rms speed s R rms ( M 1/ Hence the rato o the rms speed beore to that ater the compresson s rms rms ( 1/ 7 ( 77. 1/ 0.81
Lecture 2 The First Law of Thermodynamics (Ch.1)
Lecture he Frst Law o hermodynamcs (Ch.) Outlne:. Internal Energy, Work, Heatng. Energy Conservaton the Frst Law 3. Quas-statc processes 4. Enthalpy 5. Heat Capacty Internal Energy he nternal energy o
THERMAL PROPERTIES OF MATTER 12
HERMAL PROPERIES OF MAER Q.. Reason: he mass o a mole o a substance n grams equals the atomc or molecular mass o the substance. Snce neon has an atomc mass o 0, a mole o neon has a mass o 0 g. Snce N has
Faraday's Law of Induction
Introducton Faraday's Law o Inducton In ths lab, you wll study Faraday's Law o nducton usng a wand wth col whch swngs through a magnetc eld. You wll also examne converson o mechanc energy nto electrc energy
CHAPTER 8 Potential Energy and Conservation of Energy
CHAPTER 8 Potental Energy and Conservaton o Energy One orm o energy can be converted nto another orm o energy. Conservatve and non-conservatve orces Physcs 1 Knetc energy: Potental energy: Energy assocated
Homework: 49, 56, 67, 60, 64, 74 (p. 234-237)
Hoework: 49, 56, 67, 60, 64, 74 (p. 34-37) 49. bullet o ass 0g strkes a ballstc pendulu o ass kg. The center o ass o the pendulu rses a ertcal dstance o c. ssung that the bullet reans ebedded n the pendulu,
Mean Molecular Weight
Mean Molecular Weght The thermodynamc relatons between P, ρ, and T, as well as the calculaton of stellar opacty requres knowledge of the system s mean molecular weght defned as the mass per unt mole of
HEAT UNIT 1.1 KINETIC THEORY OF GASES. 1.1.1 Introduction. 1.1.2 Postulates of Kinetic Theory of Gases
UNIT HEAT. KINETIC THEORY OF GASES.. Introduction Molecules have a diameter of the order of Å and the distance between them in a gas is 0 Å while the interaction distance in solids is very small. R. Clausius
substances (among other variables as well). ( ) Thus the change in volume of a mixture can be written as
Mxtures and Solutons Partal Molar Quanttes Partal molar volume he total volume of a mxture of substances s a functon of the amounts of both V V n,n substances (among other varables as well). hus the change
1. Give a reason why the Thomson plum-pudding model does not agree with experimental observations.
[Problems] Walker, Physcs, 3 rd Edton Chapter 31 Conceptual Questons (Answers to odd-numbered Conceptual Questons can be ound n the back o the book, begnnng on page ANS-xx.) 1. Gve a reason why the Thomson
Chapter 9. Linear Momentum and Collisions
Chapter 9 Lnear Momentum and Collsons CHAPTER OUTLINE 9.1 Lnear Momentum and Its Conservaton 9.2 Impulse and Momentum 9.3 Collsons n One Dmenson 9.4 Two-Dmensonal Collsons 9.5 The Center of Mass 9.6 Moton
+ + + - - This circuit than can be reduced to a planar circuit
MeshCurrent Method The meshcurrent s analog of the nodeoltage method. We sole for a new set of arables, mesh currents, that automatcally satsfy KCLs. As such, meshcurrent method reduces crcut soluton to
THE IDEAL GAS LAW AND KINETIC THEORY
Chapter 14 he Ideal Gas Law and Kinetic heory Chapter 14 HE IDEAL GAS LAW AND KINEIC HEORY REIEW Kinetic molecular theory involves the study of matter, particularly gases, as very small particles in constant
Linear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits
Lnear Crcuts Analyss. Superposton, Theenn /Norton Equalent crcuts So far we hae explored tmendependent (resste) elements that are also lnear. A tmendependent elements s one for whch we can plot an / cure.
Experiment 5 Elastic and Inelastic Collisions
PHY191 Experment 5: Elastc and Inelastc Collsons 8/1/014 Page 1 Experment 5 Elastc and Inelastc Collsons Readng: Bauer&Westall: Chapter 7 (and 8, or center o mass deas) as needed 1. Goals 1. Study momentum
State Newton's second law of motion for a particle, defining carefully each term used.
5 Question 1. [Marks 20] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding
Recurrence. 1 Definitions and main statements
Recurrence 1 Defntons and man statements Let X n, n = 0, 1, 2,... be a MC wth the state space S = (1, 2,...), transton probabltes p j = P {X n+1 = j X n = }, and the transton matrx P = (p j ),j S def.
Chapter 17 Temperature and the Kinetic Theory of Gases
Chapter 7 emperature and the Kinetic heory of Gases Conceptual roblems rue or false: (a) he zeroth law of thermodynamics states that two objects in thermal equilibrium with each other must be in thermal
MOLECULAR PARTITION FUNCTIONS
MOLECULR PRTITIO FUCTIOS Introducton In the last chapter, we have been ntroduced to the three man ensembles used n statstcal mechancs and some examples of calculatons of partton functons were also gven.
The Full-Wave Rectifier
9/3/2005 The Full Wae ectfer.doc /0 The Full-Wae ectfer Consder the followng juncton dode crcut: s (t) Power Lne s (t) 2 Note that we are usng a transformer n ths crcut. The job of ths transformer s to
Physics 100A Homework 8 Chapter 9
Physcs 00A Hoework 8 Chater 9 9.4 Two ar-track carts oe toward one another on an ar track. Cart has a ass o 0.35 kg and a seed o. /s. Cart has a ass o 0.6 kg. A)What seed ust cart hae the total oentu o
Review C: Work and Kinetic Energy
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department o Physcs 8.2 Revew C: Work and Knetc Energy C. Energy... 2 C.. The Concept o Energy... 2 C..2 Knetc Energy... 3 C.2 Work and Power... 4 C.2. Work Done by
Phys222 W11 Quiz 1: Chapters 19-21 Keys. Name:
Name:. In order for two objects to have the same temperature, they must a. be in thermal equilibrium.
Implementation of Deutsch's Algorithm Using Mathcad
Implementaton of Deutsch's Algorthm Usng Mathcad Frank Roux The followng s a Mathcad mplementaton of Davd Deutsch's quantum computer prototype as presented on pages - n "Machnes, Logc and Quantum Physcs"
THE KINETIC THEORY OF GASES
Chapter 19: THE KINETIC THEORY OF GASES 1. Evidence that a gas consists mostly of empty space is the fact that: A. the density of a gas becomes much greater when it is liquefied B. gases exert pressure
a) Use the following equation from the lecture notes: = ( 8.314 J K 1 mol 1) ( ) 10 L
hermodynamics: Examples for chapter 4. 1. One mole of nitrogen gas is allowed to expand from 0.5 to 10 L reversible and isothermal process at 300 K. Calculate the change in molar entropy using a the ideal
Heat and Work. First Law of Thermodynamics 9.1. Heat is a form of energy. Calorimetry. Work. First Law of Thermodynamics.
Heat and First Law of Thermodynamics 9. Heat Heat and Thermodynamic rocesses Thermodynamics is the science of heat and work Heat is a form of energy Calorimetry Mechanical equivalent of heat Mechanical
CLASSICAL CONCEPT REVIEW 8
CLASSICAL CONCEPT REVIEW 8 Kinetic Theory Information concerning the initial motions of each of the atoms of macroscopic systems is not accessible, nor do we have the computational capability even with
Section 5.3 Annuities, Future Value, and Sinking Funds
Secton 5.3 Annutes, Future Value, and Snkng Funds Ordnary Annutes A sequence of equal payments made at equal perods of tme s called an annuty. The tme between payments s the payment perod, and the tme
n + d + q = 24 and.05n +.1d +.25q = 2 { n + d + q = 24 (3) n + 2d + 5q = 40 (2)
MATH 16T Exam 1 : Part I (In-Class) Solutons 1. (0 pts) A pggy bank contans 4 cons, all of whch are nckels (5 ), dmes (10 ) or quarters (5 ). The pggy bank also contans a con of each denomnaton. The total
CHAPTER 12. Gases and the Kinetic-Molecular Theory
CHAPTER 12 Gases and the Kinetic-Molecular Theory 1 Gases vs. Liquids & Solids Gases Weak interactions between molecules Molecules move rapidly Fast diffusion rates Low densities Easy to compress Liquids
Introduction to Statistical Physics (2SP)
Introducton to Statstcal Physcs (2SP) Rchard Sear March 5, 20 Contents What s the entropy (aka the uncertanty)? 2. One macroscopc state s the result of many many mcroscopc states.......... 2.2 States wth
Section 5.4 Annuities, Present Value, and Amortization
Secton 5.4 Annutes, Present Value, and Amortzaton Present Value In Secton 5.2, we saw that the present value of A dollars at nterest rate per perod for n perods s the amount that must be deposted today
Quotes. Research Findings. The First Law of Thermodynamics. Introduction. Introduction. Thermodynamics Lecture Series
8//005 Quotes Thermodynamcs Lecture Seres Frst Law of Thermodynamcs & Control Mass, Open Appled Scences Educaton Research Group (ASERG) Faculty of Appled Scences Unverst Teknolog MARA emal: [email protected]
NON-CONSTANT SUM RED-AND-BLACK GAMES WITH BET-DEPENDENT WIN PROBABILITY FUNCTION LAURA PONTIGGIA, University of the Sciences in Philadelphia
To appear n Journal o Appled Probablty June 2007 O-COSTAT SUM RED-AD-BLACK GAMES WITH BET-DEPEDET WI PROBABILITY FUCTIO LAURA POTIGGIA, Unversty o the Scences n Phladelpha Abstract In ths paper we nvestgate
The Greedy Method. Introduction. 0/1 Knapsack Problem
The Greedy Method Introducton We have completed data structures. We now are gong to look at algorthm desgn methods. Often we are lookng at optmzaton problems whose performance s exponental. For an optmzaton
21 Vectors: The Cross Product & Torque
21 Vectors: The Cross Product & Torque Do not use our left hand when applng ether the rght-hand rule for the cross product of two vectors dscussed n ths chapter or the rght-hand rule for somethng curl
Chapter 31B - Transient Currents and Inductance
Chapter 31B - Transent Currents and Inductance A PowerPont Presentaton by Paul E. Tppens, Professor of Physcs Southern Polytechnc State Unversty 007 Objectves: After completng ths module, you should be
Laws of Electromagnetism
There are four laws of electromagnetsm: Laws of Electromagnetsm The law of Bot-Savart Ampere's law Force law Faraday's law magnetc feld generated by currents n wres the effect of a current on a loop of
Topical Workshop for PhD students Adsorption and Diffusion in MOFs Institut für Nichtklassische Chemie, Germany, www.uni-leipzig.
Gas Separaton and Purfcaton Measurement of Breakthrough Curves Topcal Workshop for PhD students Adsorpton and Dffuson n MOFs Adsorpton on Surfaces / Separaton effects Useful features Thermodynamc effect
Description of the Force Method Procedure. Indeterminate Analysis Force Method 1. Force Method con t. Force Method con t
Indeternate Analyss Force Method The force (flexblty) ethod expresses the relatonshps between dsplaceents and forces that exst n a structure. Prary objectve of the force ethod s to deterne the chosen set
Luby s Alg. for Maximal Independent Sets using Pairwise Independence
Lecture Notes for Randomzed Algorthms Luby s Alg. for Maxmal Independent Sets usng Parwse Independence Last Updated by Erc Vgoda on February, 006 8. Maxmal Independent Sets For a graph G = (V, E), an ndependent
Gases and Kinetic-Molecular Theory: Chapter 12. Chapter Outline. Chapter Outline
Gases and Kinetic-Molecular heory: Chapter Chapter Outline Comparison of Solids, Liquids, and Gases Composition of the Atmosphere and Some Common Properties of Gases Pressure Boyle s Law: he Volume-Pressure
(6)(2) (-6)(-4) (-4)(6) + (-2)(-3) + (4)(3) + (2)(-3) = -12-24 + 24 + 6 + 12 6 = 0
Chapter 3 Homework Soluton P3.-, 4, 6, 0, 3, 7, P3.3-, 4, 6, P3.4-, 3, 6, 9, P3.5- P3.6-, 4, 9, 4,, 3, 40 ---------------------------------------------------- P 3.- Determne the alues of, 4,, 3, and 6
Peak Inverse Voltage
9/13/2005 Peak Inerse Voltage.doc 1/6 Peak Inerse Voltage Q: I m so confused! The brdge rectfer and the fullwae rectfer both prode full-wae rectfcaton. Yet, the brdge rectfer use 4 juncton dodes, whereas
Lesson 6: Earth and the Moon
Lesson 6: Earth and the Moon Reading Assignment Chapter 7.1: Overall Structure of Planet Earth Chapter 7.3: Earth s Interior More Precisely 7-2: Radioactive Dating Chapter 7.5: Earth s Magnetosphere Chapter
The Gas Laws. Our Atmosphere. Pressure = Units of Pressure. Barometer. Chapter 10
Our Atmosphere The Gas Laws 99% N 2 and O 2 78% N 2 80 70 Nitrogen Chapter 10 21% O 2 1% CO 2 and the Noble Gases 60 50 40 Oxygen 30 20 10 0 Gas Carbon dioxide and Noble Gases Pressure Pressure = Force
A. Kinetic Molecular Theory (KMT) = the idea that particles of matter are always in motion and that this motion has consequences.
I. MOLECULES IN MOTION: A. Kinetic Molecular Theory (KMT) = the idea that particles of matter are always in motion and that this motion has consequences. 1) theory developed in the late 19 th century to
Section 2 Introduction to Statistical Mechanics
Secton 2 Introducton to Statstcal Mechancs 2.1 Introducng entropy 2.1.1 Boltzmann s formula A very mportant thermodynamc concept s that of entropy S. Entropy s a functon of state, lke the nternal energy.
Geol 116 The Planet Class 7-1 Feb 28, 2005. Exercise 1, Calculate the escape velocities of the nine planets in the solar system
Exercises/Discussions Atmospheric Composition: Escape Velocities and Surface Temperature Objectives Escape velocity and the mass and size of a planetary body The effect of escape velocity and surface temperature
CHEMISTRY GAS LAW S WORKSHEET
Boyle s Law Charles Law Guy-Lassac's Law Combined Gas Law For a given mass of gas at constant temperature, the volume of a gas varies inversely with pressure PV = k The volume of a fixed mass of gas is
Thermodynamics AP Physics B. Multiple Choice Questions
Thermodynamics AP Physics B Name Multiple Choice Questions 1. What is the name of the following statement: When two systems are in thermal equilibrium with a third system, then they are in thermal equilibrium
Answer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy
4.02 Quz Solutons Fall 2004 Multple-Choce Questons (30/00 ponts) Please, crcle the correct answer for each of the followng 0 multple-choce questons. For each queston, only one of the answers s correct.
Viscosity of Solutions of Macromolecules
Vscosty of Solutons of Macromolecules When a lqud flows, whether through a tube or as the result of pourng from a vessel, layers of lqud slde over each other. The force f requred s drectly proportonal
1 Example 1: Axis-aligned rectangles
COS 511: Theoretcal Machne Learnng Lecturer: Rob Schapre Lecture # 6 Scrbe: Aaron Schld February 21, 2013 Last class, we dscussed an analogue for Occam s Razor for nfnte hypothess spaces that, n conjuncton
MEMORANDUM GRADE 11. PHYSICAL SCIENCES: CHEMISTRY Paper 2
MEMORANDUM GRADE 11 PHYSICAL SCIENCES: CHEMISTRY Paper 2 MARKS: 150 TIME: 3 hours Learning Outcomes and Assessment Standards LO1 LO2 LO3 AS 11.1.1: Plan and conduct a scientific investigation to collect
Liquid-Vapor Equilibria in Binary Systems 1
Lqud-Vapor Equlbra n Bnary Systems 1 Purpose The purpose of ths experment s to study a bnary lqud-vapor equlbrum of chloroform and acetone. Measurements of lqud and vapor compostons wll be made by refractometry.
State Newton's second law of motion for a particle, defining carefully each term used.
5 Question 1. [Marks 28] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding
= 1.038 atm. 760 mm Hg. = 0.989 atm. d. 767 torr = 767 mm Hg. = 1.01 atm
Chapter 13 Gases 1. Solids and liquids have essentially fixed volumes and are not able to be compressed easily. Gases have volumes that depend on their conditions, and can be compressed or expanded by
Gases. Macroscopic Properties. Petrucci, Harwood and Herring: Chapter 6
Gases Petrucci, Harwood and Herring: Chapter 6 CHEM 1000A 3.0 Gases 1 We will be looking at Macroscopic and Microscopic properties: Macroscopic Properties of bulk gases Observable Pressure, volume, mass,
AS1 MOLES. oxygen molecules have the formula O 2 the relative mass will be 2 x 16 = 32 so the molar mass will be 32g mol -1
Moles 1 MOLES The mole the standard unit of amount of a substance the number of particles in a mole is known as Avogadro s constant (L) Avogadro s constant has a value of 6.023 x 10 23 mol -1. Example
Answer, Key Homework 6 David McIntyre 1
Answer, Key Homework 6 David McIntyre 1 This print-out should have 0 questions, check that it is complete. Multiple-choice questions may continue on the next column or page: find all choices before making
Lecture 3: Annuity. Study annuities whose payments form a geometric progression or a arithmetic progression.
Lecture 3: Annuty Goals: Learn contnuous annuty and perpetuty. Study annutes whose payments form a geometrc progresson or a arthmetc progresson. Dscuss yeld rates. Introduce Amortzaton Suggested Textbook
PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 12
14 The Ch-squared dstrbuton PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 1 If a normal varable X, havng mean µ and varance σ, s standardsed, the new varable Z has a mean 0 and varance 1. When ths standardsed
Kinetic Theory of Gases. Chapter 33. Kinetic Theory of Gases
Kinetic Theory of Gases Kinetic Theory of Gases Chapter 33 Kinetic theory of gases envisions gases as a collection of atoms or molecules. Atoms or molecules are considered as particles. This is based on
Phase diagram of water. Note: for H 2 O melting point decreases with increasing pressure, for CO 2 melting point increases with increasing pressure.
Phase diagram of water Note: for H 2 O melting point decreases with increasing pressure, for CO 2 melting point increases with increasing pressure. WATER Covers ~ 70% of the earth s surface Life on earth
F321 MOLES. Example If 1 atom has a mass of 1.241 x 10-23 g 1 mole of atoms will have a mass of 1.241 x 10-23 g x 6.02 x 10 23 = 7.
Moles 1 MOLES The mole the standard unit of amount of a substance (mol) the number of particles in a mole is known as Avogadro s constant (N A ) Avogadro s constant has a value of 6.02 x 10 23 mol -1.
1.4.6-1.4.8 Gas Laws. Heat and Temperature
1.4.6-1.4.8 Gas Laws Heat and Temperature Often the concepts of heat and temperature are thought to be the same, but they are not. Perhaps the reason the two are incorrectly thought to be the same is because
Solution: Let i = 10% and d = 5%. By definition, the respective forces of interest on funds A and B are. i 1 + it. S A (t) = d (1 dt) 2 1. = d 1 dt.
Chapter 9 Revew problems 9.1 Interest rate measurement Example 9.1. Fund A accumulates at a smple nterest rate of 10%. Fund B accumulates at a smple dscount rate of 5%. Fnd the pont n tme at whch the forces
SIMPLE LINEAR CORRELATION
SIMPLE LINEAR CORRELATION Smple lnear correlaton s a measure of the degree to whch two varables vary together, or a measure of the ntensty of the assocaton between two varables. Correlaton often s abused.
8.4. Annuities: Future Value. INVESTIGATE the Math. 504 8.4 Annuities: Future Value
8. Annutes: Future Value YOU WILL NEED graphng calculator spreadsheet software GOAL Determne the future value of an annuty earnng compound nterest. INVESTIGATE the Math Chrstne decdes to nvest $000 at
Chapter 11 Torque and Angular Momentum
Chapter 11 Torque and Angular Momentum I. Torque II. Angular momentum - Defnton III. Newton s second law n angular form IV. Angular momentum - System of partcles - Rgd body - Conservaton I. Torque - Vector
Rotation and Conservation of Angular Momentum
Chapter 4. Rotaton and Conservaton of Angular Momentum Notes: Most of the materal n ths chapter s taken from Young and Freedman, Chaps. 9 and 0. 4. Angular Velocty and Acceleraton We have already brefly
Kinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature
OpenStax-CNX module: m42217 1 Kinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature OpenStax College This work is produced by OpenStax-CNX and licensed under the Creative Commons
8.5 UNITARY AND HERMITIAN MATRICES. The conjugate transpose of a complex matrix A, denoted by A*, is given by
6 CHAPTER 8 COMPLEX VECTOR SPACES 5. Fnd the kernel of the lnear transformaton gven n Exercse 5. In Exercses 55 and 56, fnd the mage of v, for the ndcated composton, where and are gven by the followng
1. The Kinetic Theory of Matter states that all matter is composed of atoms and molecules that are in a constant state of constant random motion
Physical Science Period: Name: ANSWER KEY Date: Practice Test for Unit 3: Ch. 3, and some of 15 and 16: Kinetic Theory of Matter, States of matter, and and thermodynamics, and gas laws. 1. The Kinetic
CHEMISTRY. Matter and Change. Section 13.1 Section 13.2 Section 13.3. The Gas Laws The Ideal Gas Law Gas Stoichiometry
CHEMISTRY Matter and Change 13 Table Of Contents Chapter 13: Gases Section 13.1 Section 13.2 Section 13.3 The Gas Laws The Ideal Gas Law Gas Stoichiometry State the relationships among pressure, temperature,
Lecture 3: Force of Interest, Real Interest Rate, Annuity
Lecture 3: Force of Interest, Real Interest Rate, Annuty Goals: Study contnuous compoundng and force of nterest Dscuss real nterest rate Learn annuty-mmedate, and ts present value Study annuty-due, and
AP Physics B 2009 Free-Response Questions
AP Physcs B 009 Free-Response Questons The College Board The College Board s a not-for-proft membershp assocaton whose msson s to connect students to college success and opportunty. Founded n 1900, the
Physics 110 Spring 2006 2-D Motion Problems: Projectile Motion Their Solutions
Physcs 110 Sprn 006 -D Moton Problems: Projectle Moton Ther Solutons 1. A place-kcker must kck a football from a pont 36 m (about 40 yards) from the oal, and half the crowd hopes the ball wll clear the
Problem Set 3. a) We are asked how people will react, if the interest rate i on bonds is negative.
Queston roblem Set 3 a) We are asked how people wll react, f the nterest rate on bonds s negatve. When
FREQUENCY OF OCCURRENCE OF CERTAIN CHEMICAL CLASSES OF GSR FROM VARIOUS AMMUNITION TYPES
FREQUENCY OF OCCURRENCE OF CERTAIN CHEMICAL CLASSES OF GSR FROM VARIOUS AMMUNITION TYPES Zuzanna BRO EK-MUCHA, Grzegorz ZADORA, 2 Insttute of Forensc Research, Cracow, Poland 2 Faculty of Chemstry, Jagellonan
Ch. 9 Center of Mass Momentum. Question 6 Problems: 3, 19, 21, 27, 31, 35, 39, 49, 51, 55, 63, 69, 71, 77
Ch. 9 Center of Mass Moentu Queston 6 Probles: 3, 9,, 7, 3, 35, 39, 49, 5, 55, 63, 69, 7, 77 Center of Mass Use center of ass when no longer dealng wth a pont partcle. The center of ass of a syste of partcles
Chapter 7: Answers to Questions and Problems
19. Based on the nformaton contaned n Table 7-3 of the text, the food and apparel ndustres are most compettve and therefore probably represent the best match for the expertse of these managers. Chapter
Interlude: Interphase Mass Transfer
Interlude: Interphase Mass Transfer The transport of mass wthn a sngle phase depends drectly on the concentraton gradent of the transportng speces n that phase. Mass may also transport from one phase to
Mass & Energy. Q. ter Spill. P. Chesmond. English corrected by. 's Gravesande Institute of Physics Education
Mass & Energy by Q. ter Spll Englsh corrected by P. Chesmond 's Graesande Insttute of Physcs Educaton Jan an Houtkade 26a, 2311 PD Leden Netherlands tel+fax+answ.m. 071 5142099 Mass and Energy, Contents.
Chapter Test B. Chapter: Measurements and Calculations
Assessment Chapter Test B Chapter: Measurements and Calculations PART I In the space provided, write the letter of the term or phrase that best completes each statement or best answers each question. 1.
Forecasting the Demand of Emergency Supplies: Based on the CBR Theory and BP Neural Network
700 Proceedngs of the 8th Internatonal Conference on Innovaton & Management Forecastng the Demand of Emergency Supples: Based on the CBR Theory and BP Neural Network Fu Deqang, Lu Yun, L Changbng School
Molar Mass of Butane
Cautions Butane is toxic and flammable. No OPEN Flames should be used in this experiment. Purpose The purpose of this experiment is to determine the molar mass of butane using Dalton s Law of Partial Pressures
The OC Curve of Attribute Acceptance Plans
The OC Curve of Attrbute Acceptance Plans The Operatng Characterstc (OC) curve descrbes the probablty of acceptng a lot as a functon of the lot s qualty. Fgure 1 shows a typcal OC Curve. 10 8 6 4 1 3 4
momentum change per impact The average rate of change of momentum = Time interval between successive impacts 2m x 2l / x m x m x 2 / l P = l 2 P = l 3
Kinetic Molecular Theory This explains the Ideal Gas Pressure olume and Temperature behavior It s based on following ideas:. Any ordinary sized or macroscopic sample of gas contains large number of molecules.
CHAPTER 8: CHEMICAL COMPOSITION
CHAPTER 8: CHEMICAL COMPOSITION Active Learning: 1-4, 6-8, 12, 18-25; End-of-Chapter Problems: 3-4, 9-82, 84-85, 87-92, 94-104, 107-109, 111, 113, 119, 125-126 8.2 ATOMIC MASSES: COUNTING ATOMS BY WEIGHING
MOLAR MASS AND MOLECULAR WEIGHT Themolar mass of a molecule is the sum of the atomic weights of all atoms in the molecule. Molar Mass.
Counting Atoms Mg burns in air (O 2 ) to produce white magnesium oxide, MgO. How can we figure out how much oxide is produced from a given mass of Mg? PROBLEM: If If 0.200 g of Mg is is burned, how much
Chemistry 13: States of Matter
Chemistry 13: States of Matter Name: Period: Date: Chemistry Content Standard: Gases and Their Properties The kinetic molecular theory describes the motion of atoms and molecules and explains the properties
SPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background:
SPEE Recommended Evaluaton Practce #6 efnton of eclne Curve Parameters Background: The producton hstores of ol and gas wells can be analyzed to estmate reserves and future ol and gas producton rates and
SETTLEMENT PREDICTION OF PILE-SUPPORTED STRUCTURES IN LIQUEFIABLE SOILS DURING EARTHQUAKE
SETTLEMENT PREDICTION OF PILE-SUPPORTED STRUCTURES IN LIQUEFIABLE SOILS DURING EARTHQUAKE Chandra Dev Raman 1, Subhamoy Bhattacharya 2 and A Blakeborough 3 1 Research Scholar, Department of Engneerng Scence,Unversty
Form-finding of grid shells with continuous elastic rods
Page of 0 Form-fndng of grd shells wth contnuous elastc rods Jan-Mn L PhD student Insttute of Buldng Structures and Structural Desgn (tke), Unversty Stuttgart Stuttgar, Germany [email protected] Jan
FINANCIAL MATHEMATICS. A Practical Guide for Actuaries. and other Business Professionals
FINANCIAL MATHEMATICS A Practcal Gude for Actuares and other Busness Professonals Second Edton CHRIS RUCKMAN, FSA, MAAA JOE FRANCIS, FSA, MAAA, CFA Study Notes Prepared by Kevn Shand, FSA, FCIA Assstant