KINETIC THEORY OF GASES
|
|
- Chloe Morton
- 5 years ago
- Views:
Transcription
1 LECTURE 8 KINETIC THEORY OF GASES Text Sections 0.4, 0.5, 0.6, 0.7 Sample Problems 0.4 Suggested Questions Suggested Problems Summary None 45P, 55P Molecular model for pressure Root mean square (RMS) speed Average kinetic energy Mean free path of molecules Distribution of molecular speeds Specific objectives Explain the molecular origin of pressure Understand and use Equations 0-17 and 0-18 Explain the concept of mean free path Describe the distribution of molecular speeds in a gas
2 LECTURE 8 KINETIC THEORY OF GASES Molecular model for pressure In the last two lectures we discussed a molecular model based on the assumptions: the gas is composed of a very large number of identical molecules each of which is an aggregate of one or more atoms. the molecules move continuously in accordance with Newton s Laws of Motion. the pressure of the gas is due to collisions of the molecules with one another and with the walls. Assume further that: the collisions are elastic and short range, i.e. they occur only when the molecules are close to one another. the number of molecules is very large so that statistical averages are meaningful. Consider n moles of an ideal gas in a cubical box with side length L (see Fig 0-3). The walls of the box are at temperature T. When a typical molecule collides with the right-hand wall it exerts an impulsive force and its momentum changes by p = ( m v x ) ( mv x ) = mv x where v x is the component of velocity perpendicular to the wall. Momentum m v x is transferred to the wall. If the molecule does not collide with another molecule (a dubious assumption except in a vacuum, as will be seen later) it will collide again with the right-hand wall after a time t = L / v x.. The time averaged force exerted by the molecule is equal to the rate at which momentum is transferred to the wall by the molecule: F x = mv x t = mv x L The time averaged pressure exerted by the molecule on the wall is p molecule = F x L = m v x L 3
3 The total pressure due to all molecules is p = m v x m = n N A L v 3 x L 3 where a bar over a quantity denotes the average of that quantity for all molecules. For a typical molecule v = v x + v y + v z By symmetry v x = v y = v z = 1 3 v and since V = L 3 p = n N A mv = nmv where M = N A m is the mass of a mole of the gas. This equation relates the macroscopic quantity p to the underlying molecular quantity v and to other macroscopic quantities, n, M and V. Root mean square speed *** The square root of v is called the root mean square speed v RMS.. The above equation for p and the Ideal Gas Law give p = nmv = nrt V or v RMS = v = 3RT M or v RMS = 3R T M. For a given ideal gas the root mean square speed of the molecules is proportional to the square root of the temperature. Some values of v RMS for gases at room temperature are given in Table 0-1. The values decrease as the masses of the gas molecules increase.
4 They are larger than the corresponding speeds of sound in the same gases at the same temperature. (In fact v SOUND = v RMS γ - no proof here.) Average translational kinetic energy The average translational kinetic energy of the molecules is K = 1 mv = 1 mv RMS = 3 m R M T = 3 k T. This is the same result as the one obtained much less rigorously using the Equipartition of Energy Theorem. Remember that there are 3 translational degrees of freedom. The equation relates the macroscopic quantity T to the molecular quantity K. Mean free path of molecules *** A typical molecule in a gas follows a zig-zag path as a result of collisions with other molecules (see Fig 0-4). The mean free path, λ, is the average distance travelled by a molecule in a gas between such collisions. λ is inversely proportional to the number of gas molecules per unit volume. For example, λ for air at sea level is about 10-7 m. A typical molecule undergoes more than 10 9 collisions each second. At higher altitudes the number of molecules per unit volume is much less, there are fewer collisions, and λ is much longer. In the Earth s ozone layer at a typical altitude of 5 km, λ is about 100 times larger. Because of these very short mean free paths and high collision rates a typical molecule takes much longer than its high speed would suggest to move a significant distance from its starting point. For example, if no convective motion occurs, carbon dioxide molecules on average take about 70 hours to travel 1 metre in the air at sea level! This process is called diffusion. Diffusion is an efficient mechanism for moving matter only over very short distances, e.g. within cells in living organisms.
5 Distribution of molecular speeds The molecules in a gas in equilibrium at temperature T have a wide range of speeds. The probability of finding a molecule with any specified speed is given by the Maxwell speed distribution (see Fig 0-7). For any given temperature this distribution peaks at a speed slightly less than v RMS. The molecules in a liquid also have a range of speeds (but not the Maxwell distribution). They are much closer together than gas molecules and hence move in an attractive potential well created by the surrounding molecules. Those with high speeds have sufficient energy to escape from the potential well and break through the liquid surface, i.e. to evaporate.
Chapter 13: Temperature, Kinetic Theory and Gas Laws
Chapter 1: Temperature, Kinetic Theory and Gas Laws Zeroth Law of Thermodynamics (law of equilibrium): If objects A and B are separately in thermal equilibrium with a third object C, then A and B are in
More informationRate of Heating and Cooling
Rate of Heating and Cooling 35 T [ o C] Example: Heating and cooling of Water E 30 Cooling S 25 Heating exponential decay 20 0 100 200 300 400 t [sec] Newton s Law of Cooling T S > T E : System S cools
More informationLecture 24. Ideal Gas Law and Kinetic Theory
Lecture 4 Ideal Gas Law and Kinetic Theory Today s Topics: Ideal Gas Law Kinetic Theory of Gases Phase equilibria and phase diagrams Ideal Gas Law An ideal gas is an idealized model for real gases that
More informationChapter 15 Thermal Properties of Matter
Chapter 15 Thermal Properties of Matter To understand the mole and Avogadro's number. To understand equations of state. To study the kinetic theory of ideal gas. To understand heat capacity. To learn and
More informationRed Sox - Yankees. Baseball can not get more exciting than these games. Physics 121, April 17, Kinetic theory of gases.
Red Sox - Yankees. Baseball can not get more exciting than these games. Physics 121, April 17, 2008. Kinetic theory of gases. http://eml.ou.edu/physics/module/thermal/ketcher/idg4.avi Physics 121. April
More informationLecture Presentation. Chapter 10. Gases. James F. Kirby Quinnipiac University Hamden, CT Pearson Education
Lecture Presentation Chapter 10 2015 Pearson Education James F. Kirby Quinnipiac University Hamden, CT Characteristics of Physical properties of gases are all similar. Composed mainly of nonmetallic elements
More informationLecture 3. The Kinetic Molecular Theory of Gases
Lecture 3. The Kinetic Molecular Theory of Gases THE IDEAL GAS LAW: A purely empirical law solely the consequence of experimental observations Explains the behavior of gases over a limited range of conditions
More informationPhysics 231 Topic 12: Temperature, Thermal Expansion, and Ideal Gases Alex Brown Nov
Physics 231 Topic 12: Temperature, Thermal Expansion, and Ideal Gases Alex Brown Nov 18-23 2015 MSU Physics 231 Fall 2015 1 homework 3 rd midterm final Thursday 8-10 pm makeup Friday final 9-11 am MSU
More informationThe Kinetic-Molecular Theory of Gases
The Kinetic-Molecular Theory of Gases kinetic-molecular theory of gases Originated with Ludwig Boltzman and James Clerk Maxwell in the 19th century Explains gas behavior on the basis of the motion of individual
More informationThis is a statistical treatment of the large ensemble of molecules that make up a gas. We had expressed the ideal gas law as: pv = nrt (1)
1. Kinetic Theory of Gases This is a statistical treatment of the large ensemble of molecules that make up a gas. We had expressed the ideal gas law as: pv = nrt (1) where n is the number of moles. We
More informationSerway_ISM_V1 1 Chapter 10. Thermal Physics. it would if filled with the material making up the rest of the object.
Serway_ISM_V1 1 Chapter 10 10 Thermal Physics ANSWERS TO MULTIPLE CHOICE QUESTIONS 1., and the correct response is choice (e). 2. The correct choice is (b). When an object, containing a cavity, is heated,
More informationKinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature
Kinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature Bởi: OpenStaxCollege We have developed macroscopic definitions of pressure and temperature. Pressure is the force divided by
More informationE6 PROPERTIES OF GASES Flow-times, density, phase changes, solubility
E6 PROPERTIES OF GASES Flow-times, density, phase changes, solubility Introduction Kinetic-Molecular Theory The kinetic energy of an object is dependent on its mass and its speed. The relationship, given
More information(2) The volume of molecules is negligible in comparison to the volume of gas. (3) Molecules of a gas moves randomly in all direction.
9.1 Kinetic Theory of Gases : Assumption (1) The molecules of a gas are identical, spherical and perfectly elastic point masses. (2) The volume of molecules is negligible in comparison to the volume of
More informationKinetic theory. Collective behaviour of large systems Statistical basis for the ideal gas equation Deviations from ideality
Kinetic theory Collective behaviour of large systems Statistical basis for the ideal gas equation Deviations from ideality Learning objectives Describe physical basis for the kinetic theory of gases Describe
More informationKINETIC MOLECULAR THEORY
KINETIC MOLECULAR THEORY IMPORTANT CHARACTERISTICS OF GASES 1) Gases are highly compressible An external force compresses the gas sample and decreases its volume, removing the external force allows the
More information19-9 Adiabatic Expansion of an Ideal Gas
19-9 Adiabatic Expansion of an Ideal Gas Learning Objectives 19.44 On a p-v diagram, sketch an adiabatic expansion (or contraction) and identify that there is no heat exchange Q with the environment. 19.45
More informationLecture 24. Ideal Gas Law and Kinetic Theory
Lecture 4 Ideal Gas Law and Kinetic Theory Today s Topics: Ideal Gas Law Kinetic Theory of Gases Phase equilibria and phase diagrams Ideal Gas Law An ideal gas is an idealized model for real gases that
More informationChapter 17 Temperature & Kinetic Theory of Gases 1. Thermal Equilibrium and Temperature
Chapter 17 Temperature & Kinetic Theory of Gases 1. Thermal Equilibrium and Temperature Any physical property that changes with temperature is called a thermometric property and can be used to measure
More informationChapter 12. Answers to examination-style questions. Answers Marks Examiner s tips
(a) v esc = gr = (.6 740 0 3 ) ½ = 400 m s (370 m s to 3 sig figs) (b) (i) Mean kinetic energy = 3_ kt =.5.38 0 3 400 = 8.3 0 J (ii) Mass of an oxygen molecule m= molar mass/n A 0.03 = kg 6.0 0 3 Rearranging
More informationKINETICE THEROY OF GASES
INTRODUCTION: Kinetic theory of gases relates the macroscopic properties of gases (like pressure, temperature, volume... etc) to the microscopic properties of the gas molecules (like speed, momentum, kinetic
More informationPart I: Basic Concepts of Thermodynamics
Part I: Basic Concepts of Thermodynamics Lecture 3: Heat and Work Kinetic Theory of Gases Ideal Gases 3-1 HEAT AND WORK Here we look in some detail at how heat and work are exchanged between a system and
More informationThe Kinetic-Molecular Theory of Gases
The Kinetic-Molecular Theory of Gases kinetic-molecular theory of gases Originated with Ludwig Boltzman and James Clerk Maxwell in the 19th century Explains gas behavior on the basis of the motion of individual
More informationKINETIC THEORY OF GASES
KINETIC THEORY OF GASES VERY SHORT ANSWER TYPE QUESTIONS ( MARK). Write two condition when real gases obey the ideal gas equation ( nrt). n number of mole.. If the number of molecule in a container is
More informationPHYSICS - CLUTCH CH 19: KINETIC THEORY OF IDEAL GASSES.
!! www.clutchprep.com CONCEPT: ATOMIC VIEW OF AN IDEAL GAS Remember! A gas is a type of fluid whose volume can change to fill a container - What makes a gas ideal? An IDEAL GAS is a gas whose particles
More informationPhysics 111. Lecture 34 (Walker 17.2,17.4-5) Kinetic Theory of Gases Phases of Matter Latent Heat
Physics 111 Lecture 34 (Walker 17.2,17.4-5) Kinetic Theory of Gases Phases of Matter Latent Heat Dec. 7, 2009 Kinetic Theory Pressure is the result of collisions between gas molecules and walls of container.
More informationThis should serve a s a study guide as you go on to do the problems in Sapling and take the quizzes and exams.
CHM 111 Chapter 9 Worksheet and Study Guide Purpose: This is a guide for your as you work through the chapter. The major topics are provided so that you can write notes on each topic and work the corresponding
More informationLecture Presentation. Chapter 10. Gases. James F. Kirby Quinnipiac University Hamden, CT Pearson Education, Inc.
Lecture Presentation Chapter 10 James F. Kirby Quinnipiac University Hamden, CT Characteristics of Physical properties of gases are all similar. Composed mainly of nonmetallic elements with simple formulas
More informationChapter 11 Gases 1 Copyright McGraw-Hill 2009
Chapter 11 Gases Copyright McGraw-Hill 2009 1 11.1 Properties of Gases The properties of a gas are almost independent of its identity. (Gas molecules behave as if no other molecules are present.) Compressible
More informationCHAPTER 21 THE KINETIC THEORY OF GASES-PART? Wen-Bin Jian ( 簡紋濱 ) Department of Electrophysics National Chiao Tung University
CHAPTER 1 THE KINETIC THEORY OF GASES-PART? Wen-Bin Jian ( 簡紋濱 ) Department of Electrophysics National Chiao Tung University 1. Molecular Model of an Ideal Gas. Molar Specific Heat of an Ideal Gas. Adiabatic
More informationCh 18. Kinetic Theory of Gases
Physics 5D: Heat, Thermo, Kinetics Ch 18. Kinetic Theory of Gases Prof. Joel Primack 318 ISB 459-2580 joel@physics.ucsc.edu Text Copyright Text 2009 Pearson Text Education, Text Inc. Neuschwanstein Bavaria
More informationε tran ε tran = nrt = 2 3 N ε tran = 2 3 nn A ε tran nn A nr ε tran = 2 N A i.e. T = R ε tran = 2
F1 (a) Since the ideal gas equation of state is PV = nrt, we can equate the right-hand sides of both these equations (i.e. with PV = 2 3 N ε tran )and write: nrt = 2 3 N ε tran = 2 3 nn A ε tran i.e. T
More informationKinetic Theory of Gases
Kinetic Theory of Gases Chapter 3 P. J. Grandinetti Chem. 4300 Aug. 28, 2017 P. J. Grandinetti (Chem. 4300) Kinetic Theory of Gases Aug. 28, 2017 1 / 45 History of ideal gas law 1662: Robert Boyle discovered
More informationvan der Waals Isotherms near T c
van der Waals Isotherms near T c v d W loops are not physical. Why? Patch up with Maxwell construction van der Waals Isotherms, T/T c van der Waals Isotherms near T c Look at one of the van der Waals isotherms
More informationIf the position of a molecule is measured after increments of 10, 100, 1000 steps, what will the distribution of measured steps look like?
If the position of a molecule is measured after increments of 10, 100, 1000 steps, what will the distribution of measured steps look like? (1) No longer Gaussian (2) Identical Gaussians (3) Gaussians with
More informationCh. 19: The Kinetic Theory of Gases
Ch. 19: The Kinetic Theory of Gases In this chapter we consider the physics of gases. If the atoms or molecules that make up a gas collide with the walls of their container, they exert a pressure p on
More informationAlthough different gasses may differ widely in their chemical properties, they share many physical properties
IV. Gases (text Chapter 9) A. Overview of Chapter 9 B. Properties of gases 1. Ideal gas law 2. Dalton s law of partial pressures, etc. C. Kinetic Theory 1. Particulate model of gases. 2. Temperature and
More information17-1 Ideal Gases. Gases are the easiest state of matter to describe - All ideal gases exhibit similar behavior.
17-1 Ideal Gases Gases are the easiest state of matter to describe - All ideal gases exhibit similar behavior. An ideal gas is one that is thin enough, that the interactions between molecules can be ignored.
More informationWhy study gases? A Gas 10/17/2017. An understanding of real world phenomena. An understanding of how science works.
Kinetic Theory and the Behavior of Ideal & Real Gases Why study gases? n understanding of real world phenomena. n understanding of how science works. Gas Uniformly fills any container. Mixes completely
More informationKinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature
OpenStax-CNX module: m55236 1 Kinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature OpenStax This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution
More informationPhysics 1501 Lecture 35
Physics 1501: Lecture 35 Todays Agenda Announcements Homework #11 (Dec. 2) and #12 (Dec. 9): 2 lowest dropped Honors students: see me after the class! Todays topics Chap.16: Temperature and Heat» Latent
More informationPhysics 207 Lecture 25. Lecture 25, Nov. 26 Goals: Chapter 18 Understand the molecular basis for pressure and the idealgas
Lecture 25, Nov. 26 Goals: Chapter 18 Understand the molecular basis for pressure and the idealgas law. redict the molar specific heats of gases and solids. Understand how heat is transferred via molecular
More informationKINETIC THEORY OF GASES
KINETIC THEORY OF GASES Boyle s Law: At constant temperature volume of given mass of gas is inversely proportional to its pressure. Charle s Law: At constant pressure volume of a given mass of gas is directly
More informationC H E M 1 CHEM 101-GENERAL CHEMISTRY CHAPTER 5 GASES INSTR : FİLİZ ALSHANABLEH
C H E M 1 CHEM 101-GENERAL CHEMISTRY CHAPTER 5 GASES 0 1 INSTR : FİLİZ ALSHANABLEH CHAPTER 5 GASES Properties of Gases Pressure History and Application of the Gas Laws Partial Pressure Stoichiometry of
More informationChapter 10. Thermal Physics
Chapter 10 Thermal Physics Thermal Physics Thermal physics is the study of Temperature Heat How these affect matter Thermal Physics, cont Descriptions require definitions of temperature, heat and internal
More informationLecture 25 Goals: Chapter 18 Understand the molecular basis for pressure and the idealgas
Lecture 5 Goals: Chapter 18 Understand the molecular basis for pressure and the idealgas law. redict the molar specific heats of gases and solids. Understand how heat is transferred via molecular collisions
More informationGases! n Properties! n Kinetic Molecular Theory! n Variables! n The Atmosphere! n Gas Laws!
Gases n Properties n Kinetic Molecular Theory n Variables n The Atmosphere n Gas Laws Properties of a Gas n No definite shape or volume n Gases expand to fill any container n Thus they take the shape of
More information10/15/2015. Why study gases? An understanding of real world phenomena. An understanding of how science works.
0/5/05 Kinetic Theory and the Behavior of Ideal & Real Gases Why study gases? An understanding of real world phenomena. An understanding of how science works. 0/5/05 A Gas fills any container. completely
More informationUnderstanding KMT using Gas Properties and States of Matter
Understanding KMT using Gas Properties and States of Matter Learning Goals: Students will be able to describe matter in terms of particle motion. The description should include Diagrams to support the
More informationPHYSICS. Chapter 20 Lecture 4/E FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH RANDALL D. KNIGHT Pearson Education, Inc.
PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 20 Lecture RANDALL D. KNIGHT 2017 Pearson Education, Inc. Chapter 20 The Micro/Macro Connection IN THIS CHAPTER, you will see how macroscopic
More informationDownloaded from
Chapter 13 (Kinetic Theory) Q1. A cubic vessel (with face horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of500 ms in vertical direction.
More informationaskiitians Class: 11 Subject: Chemistry Topic: Kinetic theory of gases No. of Questions: The unit of universal gas constant in S.I.
Class: 11 Subject: Chemistry Topic: Kinetic theory of gases No. of Questions: 33 1. The unit of universal gas constant in S.I.unit is A. calorie per degree Celsius B. joule per mole C. joule/k mole C 2.
More informationCHEMISTRY XL-14A GASES. August 6, 2011 Robert Iafe
CHEMISTRY XL-14A GASES August 6, 2011 Robert Iafe Chemistry in the News 2 Polymer nicotine trap is composed of a porphyrin derivative (black), in which amide pincers (green) are attached to the zinc (violet)
More informationPhysics 2 week 7. Chapter 3 The Kinetic Theory of Gases
Physics week 7 Chapter 3 The Kinetic Theory of Gases 3.1. Ideal Gases 3.1.1. Experimental Laws and the Equation of State 3.1.. Molecular Model of an Ideal Gas 3.. Mean Free Path 3.3. The Boltzmann Distribution
More informationSOLID 1. Make sure your state of matter is set on solid. Write your observations below:
Chemistry Ms. Ye Name Date Block Properties of Matter: Particle Movement Part 1: Follow the instructions below to complete the activity. Click on the link to open the simulation for this activity: http://phet.colorado.edu/sims/states-of-matter/states-of-matterbasics_en.jnlp***note:
More informationCHEM1100 Summary Notes Module 2
CHEM1100 Summary Notes Module 2 Lecture 14 Introduction to Kinetic Theory & Ideal Gases What are Boyle s and Charles Laws? Boyle s Law the pressure of a given mass of an ideal gas is inversely proportional
More informationIdeal Gases. 247 minutes. 205 marks. theonlinephysicstutor.com. facebook.com/theonlinephysicstutor. Name: Class: Date: Time: Marks: Comments:
Ideal Gases Name: Class: Date: Time: 247 minutes Marks: 205 marks Comments: Page 1 of 48 1 Which one of the graphs below shows the relationship between the internal energy of an ideal gas (y-axis) and
More informationChapter 18 Thermal Properties of Matter
Chapter 18 Thermal Properties of Matter In this section we define the thermodynamic state variables and their relationship to each other, called the equation of state. The system of interest (most of the
More information10/16/2018. Why study gases? An understanding of real world phenomena. An understanding of how science works.
10/16/018 Kinetic Theory and the Behavior of Ideal & Real Gases Why study gases? An understanding of real world phenomena. An understanding of how science works. 1 10/16/018 A Gas Uniformly fills any container.
More informationChapter 14 Kinetic Theory
Chapter 14 Kinetic Theory Kinetic Theory of Gases A remarkable triumph of molecular theory was showing that the macroscopic properties of an ideal gas are related to the molecular properties. This is the
More informationThermal Properties of Matter (Microscopic models)
Chapter 18 Thermal Properties of Matter (Microscopic models) PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Modified by P. Lam 6_18_2012
More informationRevision Guide for Chapter 13
Matter: very simple Revision Guide for Chapter Contents Student s Checklist Revision Notes Ideal gas... Ideal gas laws... Assumptions of kinetic theory of gases... 5 Internal energy... 6 Specific thermal
More informationTurning up the heat: thermal expansion
Lecture 3 Turning up the heat: Kinetic molecular theory & thermal expansion Gas in an oven: at the hot of materials science Here, the size of helium atoms relative to their spacing is shown to scale under
More informationPV = n R T = N k T. Measured from Vacuum = 0 Gauge Pressure = Vacuum - Atmospheric Atmospheric = 14.7 lbs/sq in = 10 5 N/m
PV = n R T = N k T P is the Absolute pressure Measured from Vacuum = 0 Gauge Pressure = Vacuum - Atmospheric Atmospheric = 14.7 lbs/sq in = 10 5 N/m V is the volume of the system in m 3 often the system
More informationPressure. Pressure Units. Molecular Speed and Energy. Molecular Speed and Energy
Pressure is defined as force per unit area. Pressure Pressure is measured with a device called a barometer. A mercury barometer uses the weight of a column of Hg to determine the pressure of gas pushing
More informationMP203 Statistical and Thermal Physics. Jon-Ivar Skullerud and James Smith
MP203 Statistical and Thermal Physics Jon-Ivar Skullerud and James Smith October 3, 2017 1 Contents 1 Introduction 3 1.1 Temperature and thermal equilibrium.................... 4 1.1.1 The zeroth law of
More informationGas Density. Standard T & P (STP) 10/29/2011. At STP, 1 mol of any ideal gas occupies 22.4 L. T = 273 K (0 o C) P = 1 atm = kpa = 1.
Standard T & P (STP) T = 73 K (0 o C) P = 1 atm = 101.35 kpa = 1.0135 bar At STP, 1 mol of any ideal gas occupies.4 L.4 L Gas Density We can use PV = nrt to determine the density of gases. What are the
More informationQuantitative Exercise 9.4. Tip 9/14/2015. Quantitative analysis of an ideal gas
Chapter 9 - GASES 9. Quantitative analysis of gas 9.4 emperature 9.5 esting the ideal gas Quantitative analysis of an ideal gas We need more simplifying assumptions. Assume that the particles do not collide
More informationPhysicsAndMathsTutor.com 1 2 (*) (1)
PhysicsAndMathsTutor.com 1 1. (a) pressure (*) Pa or N m volume m (*) (*) (not allow kpa) number of moles mol (or none) molar gas constant J K 1 mol 1 (mol 1 implies molar) temperature K 4 (b) (i) W(=
More informationChapter 14 Molecular Model of Matter
Chapter 14 Molecular Model of Matter GOALS When you have mastered the contents of this chapter, you will be able to achieve the following goals: Definitions Define each of the following terms, and use
More informationThermal Physics. Temperature (Definition #1): a measure of the average random kinetic energy of all the particles of a system Units: o C, K
Thermal Physics Internal Energy: total potential energy and random kinetic energy of the molecules of a substance Symbol: U Units: J Internal Kinetic Energy: arises from random translational, vibrational,
More informationLecture PowerPoints. Chapter 13 Physics: Principles with Applications, 7 th edition Giancoli
Lecture PowerPoints Chapter 13 Physics: Principles with Applications, 7 th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching
More informationChapter Ten- Gases. STUDY GUIDE AP Chemistry
STUDY GUIDE AP Chemistry Chapter Ten- Gases Lecture Notes 10.1 Characteristics of Gases All substances have three phases: solid, liquid and gas. Substances that are liquids or solids under ordinary conditions
More informationChemical Thermodynamics : Georg Duesberg
The Properties of Gases Kinetic gas theory Maxwell Boltzman distribution, Collisions Real (non-ideal) gases fugacity, Joule Thomson effect Mixtures of gases Entropy, Chemical Potential Liquid Solutions
More informationProperties of Gases. 5 important gas properties:
Gases Chapter 12 Properties of Gases 5 important gas properties: 1) Gases have an indefinite shape 2) Gases have low densities 3) Gases can compress 4) Gases can expand 5) Gases mix completely with other
More informationSimilarities and differences:
How does the system reach equilibrium? I./9 Chemical equilibrium I./ Equilibrium electrochemistry III./ Molecules in motion physical processes, non-reactive systems III./5-7 Reaction rate, mechanism, molecular
More informationConcepts of Thermodynamics
Thermodynamics Industrial Revolution 1700-1800 Science of Thermodynamics Concepts of Thermodynamics Heavy Duty Work Horses Heat Engine Chapter 1 Relationship of Heat and Temperature to Energy and Work
More informationLecture Outline Chapter 17. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.
Lecture Outline Chapter 17 Physics, 4 th Edition James S. Walker Chapter 17 Phases and Phase Changes Ideal Gases Kinetic Theory Units of Chapter 17 Solids and Elastic Deformation Phase Equilibrium and
More informationQuickCheck. Collisions between molecules. Collisions between molecules
Collisions between molecules We model molecules as rigid spheres of radius r as shown at the right. The mean free path of a molecule is the average distance it travels between collisions. The average time
More informationvapors: gases of substances that are normally liquids or solids 1 atm = 760 mm Hg = 760 torr = kpa = bar
Gases A Chemistry Lecture Outline Name: Basics on Gases composition of the atmosphere: properties of gases: vapors: gases of substances that are normally liquids or solids Equation for pressure: 1 atm
More informationKinetic Model of Gases
Kinetic Model of Gases Section 1.3 of Atkins, 6th Ed, 24.1 of Atkins, 7th Ed. 21.1 of Atkins, 8th Ed., and 20.1 of Atkins, 9th Ed. Basic Assumptions Molecular Speeds RMS Speed Maxwell Distribution of Speeds
More informationForces between atoms/molecules
Professor K gases Forces between atoms/molecules BONDS are the INTRAMOLECULAR FORCES holding the atoms in molecules together... What holds the molecules of a solid or liquid together?... INTERMOLECULAR
More informationHandout 11: Ideal gas, internal energy, work and heat. Ideal gas law
Handout : Ideal gas, internal energy, work and heat Ideal gas law For a gas at pressure p, volume V and absolute temperature T, ideal gas law states that pv = nrt, where n is the number of moles and R
More informationPhysics 160 Thermodynamics and Statistical Physics: Lecture 2. Dr. Rengachary Parthasarathy Jan 28, 2013
Physics 160 Thermodynamics and Statistical Physics: Lecture 2 Dr. Rengachary Parthasarathy Jan 28, 2013 Chapter 1: Energy in Thermal Physics Due Date Section 1.1 1.1 2/3 Section 1.2: 1.12, 1.14, 1.16,
More informationCollisions between molecules
Collisions between molecules We model molecules as rigid spheres of radius r as shown at the right. The mean free path of a molecule is the average distance it travels between collisions. The average time
More information11/22/2010. Mid term results. Thermal physics
Mid term results Thermal physics 1 Zeroth law of thermodynamics If objects A and B are separately in thermal equilibrium with a third object C, then A and B are in thermal equilibrium with each other.
More informationChapter 19: The Kinetic Theory of Gases Questions and Example Problems
Chapter 9: The Kinetic Theory of Gases Questions and Example Problems N M V f N M Vo sam n pv nrt Nk T W nrt ln B A molar nmv RT k T rms B p v K k T λ rms avg B V M m πd N/V Q nc T Q nc T C C + R E nc
More information4. 1 mole = 22.4 L at STP mole/volume interconversions at STP
Ch. 10 Gases and the Ideal Gas Law(s) Chem 210 Jasperse Ch. 10 Handouts 1 10.1 The Atmosphere 1. Earth surrounded by gas 2. Major components: Nitrogen 78% Oxygen 21% Miscellaneous: All
More informationPhysics Lecture 12 Momentum & Collisions
Physics 101 - Lecture 12 Momentum & Collisions Momentum is another quantity (like energy) that is tremendously useful because it s often conserved. In fact, there are two conserved quantities that we can
More information(a) (i) One of the assumptions of the kinetic theory of gases is that molecules make elastic collisions. State what is meant by an elastic collision.
1 (a) (i) One of the assumptions of the kinetic theory of gases is that molecules make elastic collisions. State what is meant by an elastic collision. State two more assumptions that are made in the kinetic
More informationGases and Kinetic Theory
Gases and Kinetic Theory Chemistry 35 Fall 2000 Gases One of the four states of matter Simplest to understand both physically and chemically Gas Properties Low density Fluid Can be defined by their: 1.
More informationHandout 11: Ideal gas, internal energy, work and heat. Ideal gas law
Handout : Ideal gas, internal energy, work and heat Ideal gas law For a gas at pressure p, volume V and absolute temperature T, ideal gas law states that pv = nrt, where n is the number of moles and R
More informationSpeed Distribution at CONSTANT Temperature is given by the Maxwell Boltzmann Speed Distribution
Temperature ~ Average KE of each particle Particles have different speeds Gas Particles are in constant RANDOM motion Average KE of each particle is: 3/2 kt Pressure is due to momentum transfer Speed Distribution
More informationLecture Presentation. Chapter 10. Gases. John D. Bookstaver St. Charles Community College Cottleville, MO Pearson Education, Inc.
Lecture Presentation Chapter 10 John D. Bookstaver St. Charles Community College Cottleville, MO Characteristics of Unlike liquids and solids, gases Expand to fill their containers. Are highly compressible.
More informationADIABATIC PROCESS Q = 0
THE KINETIC THEORY OF GASES Mono-atomic Fig.1 1 3 Average kinetic energy of a single particle Fig.2 INTERNAL ENERGY U and EQUATION OF STATE For a mono-atomic gas, we will assume that the total energy
More informationTemperature, Thermal Expansion and the Gas Laws
Temperature, Thermal Expansion and the Gas Laws z x Physics 053 Lecture Notes Temperature,Thermal Expansion and the Gas Laws Temperature and Thermometers Thermal Equilibrium Thermal Expansion The Ideal
More informationChemistry Joke. Once you ve seen 6.02 x You ve seen a mole!
States of Matter Chemistry Joke Once you ve seen 6.02 x 10 23 atoms You ve seen a mole! Kinetic Theory Kinetic Theory explains the states of matter based on the concept that the particles in all forms
More informationINTRODUCTORY CHEMISTRY Concepts and Critical Thinking
INTRODUCTORY CHEMISTRY Concepts and Critical Thinking Sixth Edition by Charles H. Corwin Chapter 11 The Gaseous State by Christopher Hamaker 2011 Pearson Education, Inc. Chapter 11 1 Properties of Gases
More informationGases. Characteristics of Gases. Unlike liquids and solids, gases
Gases Characteristics of Gases Unlike liquids and solids, gases expand to fill their containers; are highly compressible; have extremely low densities. 1 Pressure Pressure is the amount of force applied
More informationFor more info visit
Kinetic Theory of Matter:- (a) Solids:- It is the type of matter which has got fixed shape and volume. The force of attraction between any two molecules of a solid is very large. (b) Liquids:- It is the
More information