Kinetic Model for Ideal Gas
|
|
- Brian Grant
- 7 years ago
- Views:
Transcription
1 Kinetic Model for Ideal Gas Three assumptions: (I) The gas consists of molecules of mass m in ceaseless random motion. (ii) The size of the molecules is negligible, in the sense that their diameters are much smaller than the average distance traveled between collisions. (iii) The molecules do not interact, except that they make perfect elastic collisions when they are in contact. Kinetic Models of Gas, Properties of Real Gas Application questions: how fast do you think a gas molecule in the room is traveling? How often do they colloid with each other? Will my use of ideal gas law be valid to gases in the gas cylinder? 1
2 Derivation of ideal gas law PV = (1/3)nM c C =<s > 1/,root-meansquare speed Consider a container of Volume V, at T, contains n mole gas. Pressure is a result of molecular collisions on the wall. Every collision, the momentum change is mv x, No. of molecules that will collide in time t= (1/)(particles in greenshaded volume). Total momentum change/ t=force Pressure = Force/Area Maxwell Distribution of Speed The speed of molecules in gas actually obey Maxwell distribution of speed: f (s) 3/ ( Ms / RT ) M f ( s) = 4π s exp πrt f(s)ds: is the fraction of molecules that have speeds in the range of s to s+ds.
3 Maxwell Distribution of Speed Given the Maxwell Distribution of speed, we can obtain Average of speed or mean speed c = 0 8RT sf ( s) dv = πm 1/ Root-mean-square of speed c = <s > 1/ =(3RT/M) 1/ Final result--ideal Gas law Kinetic model leads to PV = (1/3)nM <s > The Maxwell distribution of speed gives c = <s > 1/ =(3RT/M) 1/ Combine these two lead to PV = nrt Note: Pressure is determined by the temperature---the higher the temperature, the larger the pressure Pressure is also determined by the number density, n/v,---the higher the number density, the higher the pressure. 3
4 More about root-mean-square speed The root-mean-square of speed or the average speed is proportional to (T/M) 1/. ---lighter gas molecules have higher average speed However, the mean kinetic energy of molecules, (1/)M<v >, only depend on temperature, not the molecular masses. It can be argued that thermal equilibrium implies that the mean kinetic energy of molecules must be equal regardless if it is in solid, liquid or gas Real Application questions Let s estimate how fast H and N are traveling in the air. Can we estimate how often the gas molecules will collide with each other? (concept of collision frequency, mean free path). 4
5 Real gases Real gases show deviations from the perfect gas law because of molecular interaction Repulsive forces assist expansion Attractive forces assist compression Repulsive forces dominant only when molecules are close together on average. Typically this would mean a high pressure. Figure: A typical intermolecular interaction potential Attractions will be significant when molecules are relatively close but not too close. Or at low temperature when molecules do not move fast enough and they can capture each other. Typically moderate pressure, low temperature. Compression factor We can use compression factor Z to quantify the deviations of real gas from ideal gas law Z=PV m /RT or Z = V m /V m0 where V m0 is the molar volume of the ideal gas (i.e,: V m0 =RT/P). According to this definition: Z=1 if the gas obeys ideal gas law Z >1 implying the gas are more difficult to compress than ideal gas (larger molar volume than the ideal gas V m0 )--- repulsive forces dominant. Z < 1 implying the gas are more compressible than ideal gas (less molar volume than V m0 ) ---attractive forces dominant. 5
6 Some examples of compression factor Graph on the left shows how Z varies with pressure at 0ºC for a few real gases. Observe: 1. At low pressure, all Z ~ 1. Gas behave ideally.. At very high pressure, all Z >1. Repulsive forces dominant. 3. At intermediate pressure, most gases have a range Z <1, attractive forces dominant. Some may not, but will have Z<1 range at lower temperature. Compression factor at different temperature Graph on the left shows how Z would vary with pressure at different temperature T for a given type of gas. Boyle temperature is the temperature at which dz/dp = B (T)=0 (when P 0) or dz/d(1/vm)=b(t) 0. (see the discussion on the virial expansion) 6
7 Virial Expansion Virial expansion is another way to describe how the real gas behavior deviate from the ideal gas law. One incorporate the deviation by including higher order terms which are absent in the idea-gas law. pv m =RT(1+B P+C P + ) the coefficients, B, C,..are called virial coefficients. They themselves are functions of temperature. According to this, Z=1+B P+C P +. Another way is to write the virial equation is in the order of (1/V m ) B C pv m = RT ( K) V m V m Isotherm of Real Gases Graph on the left is the experimental isotherms of CO gas at several temperature. At 0 C, there is a discontinuity in isotherm at point C-D-E. This is the gas-liquid phase transition. The critical temperature T c is the point below which there is liquidgas phase transition, above which there is not. The critical point is marked by the *. The two-coexisting phases (like C,D merge together to one point at T c that gives the critical point. 7
8 Van-der Walls equation In 1873, J. H. van der Walls proposed a general equation that can fit many of experimental observed equation of states of real gases. P = nrt/(v-nb) - a (n/v) or : P = RT/(V m -b) - a/v m a, b are called van-der Walls coefficients. They are independent of T, P or V, but are characteristic of molecular nature of the gases. (a/v m ) corrects for the attraction. b corrects for repulsion, can be related to the volume of the molecular spheres, b~ N a (1/6)π d 3. Table 1.5: Van der Walls coefficients Ar CO He Xe a /(atm L /mol - ) b /(L mol -1 ) Exercise: from Van-der-Walls equation, obtain second-virial coefficient B, determine Boyle temperature for Ar. 8
9 Features of VDW equation Isotherms from VDW equation VDW equation predicts isotherms very similar to that of observed experimental isotherms At high Temperature, isotherms are like ideal gas law. P~RT/(V m -b). At lower temperature, it has van-der-walls loop, signify the liquid-gas phase transition Van-der-walls loop The critical point in VDW equation The critical temperature T c is the temperature below which the van-der-walls develops. It is a well-defined point with specific T c, P c and V c in terms of van-derwalls constants a and b. The critical point is defined by the following two conditions dp dv m d P dv m RT = ( V b) m RT = ( V b) m 3 a + 3 V m 6a V 4 m = 0 = 0 which leads to: V c =3b, P c =a/7b, T c =8a/7Rb so Z c =P c V c /RT c =3/8. 9
10 The principle of corresponding states Molecular characteristics are reflected in van-der-walls constants a, and b, which in turn determines P c, T c, V c. Let s define P r =P/P c, T r =T/T c, V r =V/V c The observation that the real gases at the same reduced volume and reduced temperature exerts the same reduced pressure is called the principle of corresponding states. Experiments confirm such truth to certain extents. most gases with spherical molecules obey the corresponding states well, but not non-spherical or highly polar molecules. Examples of experimental data confirm principles of corresponding state This figure shows how Z for different gases at same reduced temperature form a common curve. 10
11 Other examples There are many examples where such plot with reduced variables produce a single curve regardless of molecular nature. Ref: Wang & Teraoka, Macromolecules 30, 8473 (1997) Use of Model Systems The principle of corresponding states reflects the fact that many physical laws are not governed by the molecular characteristics, but are governed by some other physical principles. --- statistical principles. This justify the use of model fluids, model polymer chains where these model systems do not need to include chemical identify. One model fluid that help to understand the liquid-gas phase transition is the Lennard-Jones fluids. One example of model of polymer chains is the selfavoiding walks on the lattice. 11
12 Hard sphere fluid vs. LJ fluid Many research are done with molecules modeled as purely repulsive hard spheres (no attractive interactions). For this type of fluid, there is no liquid-gas transition. The collections of spheres either are in gas phase, or are in solid phase directly. Adding an attractive term in molecular interactions turns on the liquid-gas phase transition. Study of these model fluid through computer simulations help to illustrate the phase transition greatly. Summary Simple Kinetic model of gas can lead to the ideal gas law. The major assumption in simple kinetic model is that molecules do not attract or repel each other except making perfect collision. Kinetic model also shows that average speed of gas molecule is proportional to (T/M) 1/. Real gas molecules however attract or repel each other at appropriate conditions. This makes the properties of many real gas to deviate from ideal gas law behavior. Compression factor Z can be used to check how the real gas deviates from ideal gas law. 1
13 Sample problem Solving At what pressure does the mean free path of argon at 5C become comparable to the diameter of a spherical vessel of volume 1.0L that contains it? Take σ=0.36nm How does the mean free path in a sample of gas vary with temperature in a constant-volume container? Express the van-der-walls equation of state as a virial expansion in powers of 1/V m, and obtain expression of B and C in terms of a and b. 13
(1) The size of a gas particle is negligible as compared to the volume of the container in which the gas is placed.
Gas Laws and Kinetic Molecular Theory The Gas Laws are based on experiments, and they describe how a gas behaves under certain conditions. However, Gas Laws do not attempt to explain the behavior of gases.
More informationStatistical Mechanics, Kinetic Theory Ideal Gas. 8.01t Nov 22, 2004
Statistical Mechanics, Kinetic Theory Ideal Gas 8.01t Nov 22, 2004 Statistical Mechanics and Thermodynamics Thermodynamics Old & Fundamental Understanding of Heat (I.e. Steam) Engines Part of Physics Einstein
More informationCHEMISTRY. 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,
More informationGases. States of Matter. Molecular Arrangement Solid Small Small Ordered Liquid Unity Unity Local Order Gas High Large Chaotic (random)
Gases States of Matter States of Matter Kinetic E (motion) Potential E(interaction) Distance Between (size) Molecular Arrangement Solid Small Small Ordered Liquid Unity Unity Local Order Gas High Large
More information10.7 Kinetic Molecular Theory. 10.7 Kinetic Molecular Theory. Kinetic Molecular Theory. Kinetic Molecular Theory. Kinetic Molecular Theory
The first scheduled quiz will be given next Tuesday during Lecture. It will last 5 minutes. Bring pencil, calculator, and your book. The coverage will be pp 364-44, i.e. Sections 0.0 through.4. 0.7 Theory
More informationHEAT 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
More informationTHE 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
More informationBoyles Law. At constant temperature the volume occupied by a fixed amount of gas is inversely proportional to the pressure on the gas 1 P = P
Boyles Law At constant temperature the volume occupied by a fixed amount of gas is inversely proportional to the pressure on the gas 1 or k 1 Boyles Law Example ressure olume Initial 2.00 atm 100 cm 3
More informationGas Laws. The kinetic theory of matter states that particles which make up all types of matter are in constant motion.
Name Period Gas Laws Kinetic energy is the energy of motion of molecules. Gas state of matter made up of tiny particles (atoms or molecules). Each atom or molecule is very far from other atoms or molecules.
More informationTHE 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
More informationCHAPTER 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
More informationLecture Notes: Gas Laws and Kinetic Molecular Theory (KMT).
CHEM110 Week 9 Notes (Gas Laws) Page 1 of 7 Lecture Notes: Gas Laws and Kinetic Molecular Theory (KMT). Gases Are mostly empty space Occupy containers uniformly and completely Expand infinitely Diffuse
More informationGases 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
More informationKinetic 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
More informationCLASSICAL 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
More information= 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
More information1.4.6-1.4.8 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
More informationmomentum 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.
More informationThe 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
More informationUnit 3: States of Matter Practice Exam
Page 1 Unit 3: States of Matter Practice Exam Multiple Choice. Identify the choice that best completes the statement or answers the question. 1. Two gases with unequal masses are injected into opposite
More informationVacuum Technology. Kinetic Theory of Gas. Dr. Philip D. Rack
Kinetic Theory of Gas Assistant Professor Department of Materials Science and Engineering University of Tennessee 603 Dougherty Engineering Building Knoxville, TN 3793-00 Phone: (865) 974-5344 Fax (865)
More informationa) 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
More informationKinetic Theory of Gases
Kinetic Theory of Gases Physics 1425 Lecture 31 Michael Fowler, UVa Bernoulli s Picture Daniel Bernoulli, in 1738, was the first to understand air pressure in terms of molecules he visualized them shooting
More informationName Class Date. In the space provided, write the letter of the term or phrase that best completes each statement or best answers each question.
Assessment Chapter Test A Chapter: States of Matter In the space provided, write the letter of the term or phrase that best completes each statement or best answers each question. 1. The kinetic-molecular
More informationGases. 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,
More informationStudy the following diagrams of the States of Matter. Label the names of the Changes of State between the different states.
Describe the strength of attractive forces between particles. Describe the amount of space between particles. Can the particles in this state be compressed? Do the particles in this state have a definite
More information) and mass of each particle is m. We make an extremely small
Umeå Universitet, Fysik Vitaly Bychkov Prov i fysik, Thermodynamics, --6, kl 9.-5. Hjälpmedel: Students may use any book including the textbook Thermal physics. Present your solutions in details: it will
More informationChemistry 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
More informationCHEMISTRY 113 EXAM 4(A)
Summer 2003 1. The molecular geometry of PF 4 + ion is: A. bent B. trigonal planar C. tetrahedral D. octahedral CHEMISTRY 113 EXAM 4(A) 2. The Cl-C-Cl bond angle in CCl 2 O molecule (C is the central atom)
More informationExam 4 Practice Problems false false
Exam 4 Practice Problems 1 1. Which of the following statements is false? a. Condensed states have much higher densities than gases. b. Molecules are very far apart in gases and closer together in liquids
More informationProperties of Gases. Dr Claire Vallance First year, Hilary term. Suggested Reading
1 Properties of Gases Dr Claire Vallance First year, Hilary term Suggested Reading Physical Chemistry, P. W. Atkins Foundations of Physics for Chemists, G. Ritchie and D. Sivia Physical Chemistry, W. J.
More informationEquations of State. Equations of State (EoS)
Equations of State (EoS) Equations of State From molecular considerations, identify which intermolecular interactions are significant (including estimating relative strengths of dipole moments, polarizability,
More informationThermodynamics 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
More informationStates of Matter CHAPTER 10 REVIEW SECTION 1. Name Date Class. Answer the following questions in the space provided.
CHAPTER 10 REVIEW States of Matter SECTION 1 SHORT ANSWER Answer the following questions in the space provided. 1. Identify whether the descriptions below describe an ideal gas or a real gas. ideal gas
More information1 Introduction. Taking the logarithm of both sides of Equation 1.1:
j1 1 Introduction The aim of this book is to provide an understanding of the basic processes, at the atomic or molecular level, which are responsible for kinetic processes at the microscopic and macroscopic
More informationEXPERIMENT 15: Ideal Gas Law: Molecular Weight of a Vapor
EXPERIMENT 15: Ideal Gas Law: Molecular Weight of a Vapor Purpose: In this experiment you will use the ideal gas law to calculate the molecular weight of a volatile liquid compound by measuring the mass,
More informationPhys222 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.
More informationProblem Set 3 Solutions
Chemistry 360 Dr Jean M Standard Problem Set 3 Solutions 1 (a) One mole of an ideal gas at 98 K is expanded reversibly and isothermally from 10 L to 10 L Determine the amount of work in Joules We start
More informationTemperature Measure of KE At the same temperature, heavier molecules have less speed Absolute Zero -273 o C 0 K
Temperature Measure of KE At the same temperature, heavier molecules have less speed Absolute Zero -273 o C 0 K Kinetic Molecular Theory of Gases 1. Large number of atoms/molecules in random motion 2.
More informationKINETIC MOLECULAR THEORY OF MATTER
KINETIC MOLECULAR THEORY OF MATTER The kinetic-molecular theory is based on the idea that particles of matter are always in motion. The theory can be used to explain the properties of solids, liquids,
More informationCHEM 120 Online Chapter 7
CHEM 120 Online Chapter 7 Date: 1. Which of the following statements is not a part of kinetic molecular theory? A) Matter is composed of particles that are in constant motion. B) Particle velocity increases
More informationIDEAL AND NON-IDEAL GASES
2/2016 ideal gas 1/8 IDEAL AND NON-IDEAL GASES PURPOSE: To measure how the pressure of a low-density gas varies with temperature, to determine the absolute zero of temperature by making a linear fit to
More informationThermodynamics of Mixing
Thermodynamics of Mixing Dependence of Gibbs energy on mixture composition is G = n A µ A + n B µ B and at constant T and p, systems tend towards a lower Gibbs energy The simplest example of mixing: What
More informationTopic 3b: Kinetic Theory
Topic 3b: Kinetic Theory What is temperature? We have developed some statistical language to simplify describing measurements on physical systems. When we measure the temperature of a system, what underlying
More information7. 1.00 atm = 760 torr = 760 mm Hg = 101.325 kpa = 14.70 psi. = 0.446 atm. = 0.993 atm. = 107 kpa 760 torr 1 atm 760 mm Hg = 790.
CHATER 3. The atmosphere is a homogeneous mixture (a solution) of gases.. Solids and liquids have essentially fixed volumes and are not able to be compressed easily. have volumes that depend on their conditions,
More informationSo T decreases. 1.- Does the temperature increase or decrease? For 1 mole of the vdw N2 gas:
1.- One mole of Nitrogen (N2) has been compressed at T0=273 K to the volume V0=1liter. The gas goes through the free expansion process (Q = 0, W = 0), in which the pressure drops down to the atmospheric
More informationKinetic Theory & Ideal Gas
1 of 6 Thermodynamics Summer 2006 Kinetic Theory & Ideal Gas The study of thermodynamics usually starts with the concepts of temperature and heat, and most people feel that the temperature of an object
More information13.1 The Nature of Gases. What is Kinetic Theory? Kinetic Theory and a Model for Gases. Chapter 13: States of Matter. Principles of Kinetic Theory
Chapter 13: States of Matter The Nature of Gases The Nature of Gases kinetic molecular theory (KMT), gas pressure (pascal, atmosphere, mm Hg), kinetic energy The Nature of Liquids vaporization, evaporation,
More informationChapter 13 - Chemical Equilibrium
Chapter 1 - Chemical Equilibrium Intro A. Chemical Equilibrium 1. The state where the concentrations of all reactants and products remain constant with time. All reactions carried out in a closed vessel
More information19 The Kinetic Theory of Gases
19 The Kinetic Theory of Gases When a container of cold champagne, soda pop, or any other carbonated drink is opened, a slight fog forms around the opening and some of the liquid sprays outward. (In the
More informationThermodynamics: Lecture 8, Kinetic Theory
Thermodynamics: Lecture 8, Kinetic Theory Chris Glosser April 15, 1 1 OUTLINE I. Assumptions of Kinetic Theory (A) Molecular Flux (B) Pressure and the Ideal Gas Law II. The Maxwell-Boltzmann Distributuion
More informationChapter 12 - Liquids and Solids
Chapter 12 - Liquids and Solids 12-1 Liquids I. Properties of Liquids and the Kinetic Molecular Theory A. Fluids 1. Substances that can flow and therefore take the shape of their container B. Relative
More informationA drop forms when liquid is forced out of a small tube. The shape of the drop is determined by a balance of pressure, gravity, and surface tension
A drop forms when liquid is forced out of a small tube. The shape of the drop is determined by a balance of pressure, gravity, and surface tension forces. 2 Objectives Have a working knowledge of the basic
More informationCHEMISTRY 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
More information10.7 Kinetic Molecular Theory. 10.7 Kinetic Molecular Theory. Kinetic Molecular Theory. Kinetic Molecular Theory. Kinetic Molecular Theory
Week lectures--tentative 0.7 Kinetic-Molecular Theory 40 Application to the Gas Laws 0.8 Molecular Effusion and Diffusion 43 Graham's Law of Effusion Diffusion and Mean Free Path 0.9 Real Gases: Deviations
More informationPHYS-2010: General Physics I Course Lecture Notes Section XIII
PHYS-2010: General Physics I Course Lecture Notes Section XIII Dr. Donald G. Luttermoser East Tennessee State University Edition 2.5 Abstract These class notes are designed for use of the instructor and
More informationF321 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.
More informationEnergy Transport. Focus on heat transfer. Heat Transfer Mechanisms: Conduction Radiation Convection (mass movement of fluids)
Energy Transport Focus on heat transfer Heat Transfer Mechanisms: Conduction Radiation Convection (mass movement of fluids) Conduction Conduction heat transfer occurs only when there is physical contact
More informationCalorimetry: Heat of Vaporization
Calorimetry: Heat of Vaporization OBJECTIVES INTRODUCTION - Learn what is meant by the heat of vaporization of a liquid or solid. - Discuss the connection between heat of vaporization and intermolecular
More information7. Gases, Liquids, and Solids 7.1 Kinetic Molecular Theory of Matter
7. Gases, Liquids, and Solids 7.1 Kinetic Molecular Theory of Matter Kinetic Molecular Theory of Matter The Kinetic Molecular Theory of Matter is a concept that basically states that matter is composed
More informationChapter 2. Atomic Structure and Interatomic Bonding
Chapter 2. Atomic Structure and Interatomic Bonding Interatomic Bonding Bonding forces and energies Primary interatomic bonds Secondary bonding Molecules Bonding Forces and Energies Considering the interaction
More information5. Which temperature is equal to +20 K? 1) 253ºC 2) 293ºC 3) 253 C 4) 293 C
1. The average kinetic energy of water molecules increases when 1) H 2 O(s) changes to H 2 O( ) at 0ºC 3) H 2 O( ) at 10ºC changes to H 2 O( ) at 20ºC 2) H 2 O( ) changes to H 2 O(s) at 0ºC 4) H 2 O( )
More informationName Date Class STATES OF MATTER. SECTION 13.1 THE NATURE OF GASES (pages 385 389)
13 STATES OF MATTER SECTION 13.1 THE NATURE OF GASES (pages 385 389) This section introduces the kinetic theory and describes how it applies to gases. It defines gas pressure and explains how temperature
More informationWhy? Intermolecular Forces. Intermolecular Forces. Chapter 12 IM Forces and Liquids. Covalent Bonding Forces for Comparison of Magnitude
1 Why? Chapter 1 Intermolecular Forces and Liquids Why is water usually a liquid and not a gas? Why does liquid water boil at such a high temperature for such a small molecule? Why does ice float on water?
More informationLecture 24 - Surface tension, viscous flow, thermodynamics
Lecture 24 - Surface tension, viscous flow, thermodynamics Surface tension, surface energy The atoms at the surface of a solid or liquid are not happy. Their bonding is less ideal than the bonding of atoms
More informationAS1 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
More informationChapter 8 Maxwell relations and measurable properties
Chapter 8 Maxwell relations and measurable properties 8.1 Maxwell relations Other thermodynamic potentials emerging from Legendre transforms allow us to switch independent variables and give rise to alternate
More informationFinal Exam CHM 3410, Dr. Mebel, Fall 2005
Final Exam CHM 3410, Dr. Mebel, Fall 2005 1. At -31.2 C, pure propane and n-butane have vapor pressures of 1200 and 200 Torr, respectively. (a) Calculate the mole fraction of propane in the liquid mixture
More informationMaterials 10-mL graduated cylinder l or 2-L beaker, preferably tall-form Thermometer
VAPOR PRESSURE OF WATER Introduction At very low temperatures (temperatures near the freezing point), the rate of evaporation of water (or any liquid) is negligible. But as its temperature increases, more
More informationChapter 6 Thermodynamics: The First Law
Key Concepts 6.1 Systems Chapter 6 Thermodynamics: The First Law Systems, States, and Energy (Sections 6.1 6.8) thermodynamics, statistical thermodynamics, system, surroundings, open system, closed system,
More informationvap H = RT 1T 2 = 30.850 kj mol 1 100 kpa = 341 K
Thermodynamics: Examples for chapter 6. 1. The boiling point of hexane at 1 atm is 68.7 C. What is the boiling point at 1 bar? The vapor pressure of hexane at 49.6 C is 53.32 kpa. Assume that the vapor
More informationESSAY. Write your answer in the space provided or on a separate sheet of paper.
Test 1 General Chemistry CH116 Summer, 2012 University of Massachusetts, Boston Name ESSAY. Write your answer in the space provided or on a separate sheet of paper. 1) Sodium hydride reacts with excess
More informationKinetic Molecular Theory. Chapter 5. KE AVE and Average Velocity. Graham s Law of Effusion. Chapter 7. Real Gases
hapter 5 1. Kinetic Molecular Theory. 2. Average kinetic energy and velocity. 3. Graham s Law of Effusion. 4. Real gases and the van der Waals equation. Kinetic Molecular Theory The curves below represent
More informationKinetic 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
More informationDiesel Cycle Analysis
Engineering Software P.O. Box 1180, Germantown, MD 20875 Phone: (301) 540-3605 FAX: (301) 540-3605 E-Mail: info@engineering-4e.com Web Site: http://www.engineering-4e.com Diesel Cycle Analysis Diesel Cycle
More informationKinetic Molecular Theory of Matter
Kinetic Molecular Theor of Matter Heat capacit of gases and metals Pressure of gas Average speed of electrons in semiconductors Electron noise in resistors Positive metal ion cores Free valence electrons
More informationPhysics 5D - Nov 18, 2013
Physics 5D - Nov 18, 2013 30 Midterm Scores B } Number of Scores 25 20 15 10 5 F D C } A- A A + 0 0-59.9 60-64.9 65-69.9 70-74.9 75-79.9 80-84.9 Percent Range (%) The two problems with the fewest correct
More informationLecture 3: Models of Solutions
Materials Science & Metallurgy Master of Philosophy, Materials Modelling, Course MP4, Thermodynamics and Phase Diagrams, H. K. D. H. Bhadeshia Lecture 3: Models of Solutions List of Symbols Symbol G M
More informationChapter 12 Kinetic Theory of Gases: Equipartition of Energy and Ideal Gas Law
Chapter 1 Kinetic Theory of Gases: Equipartition of Energy and Ideal Gas Law 1.1 Introduction Macroscopic Description of Gas A gas is a system of particles occupying a volume of space that is very large
More informationIndiana's Academic Standards 2010 ICP Indiana's Academic Standards 2016 ICP. map) that describe the relationship acceleration, velocity and distance.
.1.1 Measure the motion of objects to understand.1.1 Develop graphical, the relationships among distance, velocity and mathematical, and pictorial acceleration. Develop deeper understanding through representations
More information1. Fluids Mechanics and Fluid Properties. 1.1 Objectives of this section. 1.2 Fluids
1. Fluids Mechanics and Fluid Properties What is fluid mechanics? As its name suggests it is the branch of applied mechanics concerned with the statics and dynamics of fluids - both liquids and gases.
More informationTEMPERATURE AND PRESSURE OF AN IDEAL GAS: THE EQUATION OF STATE MISN-0-157. THE EQUATION OF STATE by William C. Lane Michigan State University
MISN-0-157 TEMPERATURE AND PRESSURE OF AN IDEAL GAS: THE EQUATION OF STATE TEMPERATURE AND PRESSURE OF AN IDEAL GAS: THE EQUATION OF STATE by William C. Lane Michigan State University 1. Introduction a.
More informationAnswer, 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
More informationIdeal Gas and Real Gases
Ideal Gas and Real Gases Lectures in Physical Chemistry 1 Tamás Turányi Institute of Chemistry, ELTE State roerties state roerty: determines the macroscoic state of a hysical system state roerties of single
More informationChapter 29: Kinetic Theory of Gases: Equipartition of Energy and the Ideal Gas Law
Chapter 29: Kinetic Theory of Gases: Equipartition of Energy and the Ideal Gas Law 29.1 Introduction: Gas... 1 29.1.1 Macroscopic vs. Atomistic Description of a Gas... 1 29.1.2 Atoms, Moles, and Avogadro
More informationBoyle s law - For calculating changes in pressure or volume: P 1 V 1 = P 2 V 2. Charles law - For calculating temperature or volume changes: V 1 T 1
Common Equations Used in Chemistry Equation for density: d= m v Converting F to C: C = ( F - 32) x 5 9 Converting C to F: F = C x 9 5 + 32 Converting C to K: K = ( C + 273.15) n x molar mass of element
More information1. 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
More informationCompressible Fluids. Faith A. Morrison Associate Professor of Chemical Engineering Michigan Technological University November 4, 2004
94 c 2004 Faith A. Morrison, all rights reserved. Compressible Fluids Faith A. Morrison Associate Professor of Chemical Engineering Michigan Technological University November 4, 2004 Chemical engineering
More informationA. 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
More informationModern Construction Materials Prof. Ravindra Gettu Department of Civil Engineering Indian Institute of Technology, Madras
Modern Construction Materials Prof. Ravindra Gettu Department of Civil Engineering Indian Institute of Technology, Madras Module - 2 Lecture - 2 Part 2 of 2 Review of Atomic Bonding II We will continue
More informationFUNDAMENTALS OF ENGINEERING THERMODYNAMICS
FUNDAMENTALS OF ENGINEERING THERMODYNAMICS System: Quantity of matter (constant mass) or region in space (constant volume) chosen for study. Closed system: Can exchange energy but not mass; mass is constant
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
General Chemistry PHS 1015 Practice Exam 4 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following statements about pressure
More informationGas Laws. vacuum. 760 mm. air pressure. mercury
Gas Laws Some chemical reactions take place in the gas phase and others produce products that are gases. We need a way to measure the quantity of compounds in a given volume of gas and relate that to moles.
More informationEXPERIMENT 9 Evaluation of the Universal Gas Constant, R
Outcomes EXPERIMENT 9 Evaluation of the Universal Gas Constant, R After completing this experiment, the student should be able to: 1. Determine universal gas constant using reaction of an acid with a metal.
More informationSurface Tension. the surface tension of a liquid is the energy required to increase the surface area a given amount
Tro, Chemistry: A Molecular Approach 1 Surface Tension surface tension is a property of liquids that results from the tendency of liquids to minimize their surface area in order to minimize their surface
More informationMeasurement of the viscosities of He, Ne and Ar for the determination of their gas kinetic diameters.
American Journal of Engineering Research (AJER) e-issn: 2320-0847 p-issn : 2320-0936 Volume-4, Issue-11, pp-57-62 www.ajer.org Research Paper Measurement of the viscosities of He, Ne and Ar for the determination
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Chapter 10 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A gas at a pressure of 10.0 Pa exerts a force of N on an area of 5.5 m2. A) 1.8 B) 0.55
More informationTurbulence, Heat and Mass Transfer (THMT 09) Poiseuille flow of liquid methane in nanoscopic graphite channels by molecular dynamics simulation
Turbulence, Heat and Mass Transfer (THMT 09) Poiseuille flow of liquid methane in nanoscopic graphite channels by molecular dynamics simulation Sapienza Università di Roma, September 14, 2009 M. T. HORSCH,
More informationThe First Law of Thermodynamics
Thermodynamics The First Law of Thermodynamics Thermodynamic Processes (isobaric, isochoric, isothermal, adiabatic) Reversible and Irreversible Processes Heat Engines Refrigerators and Heat Pumps The Carnot
More informationChapter 1 Classical Thermodynamics: The First Law. 1.2 The first law of thermodynamics. 1.3 Real and ideal gases: a review
Chapter 1 Classical Thermodynamics: The First Law 1.1 Introduction 1.2 The first law of thermodynamics 1.3 Real and ideal gases: a review 1.4 First law for cycles 1.5 Reversible processes 1.6 Work 1.7
More information