Evolution of the Science of Thermodynamics: the History
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Great Physicists
Great Physicists Great Physicists The Life and Times of Leading Physicists from Galileo to Hawking William H. Cropper 1 2001 1 Oxford New York Athens Auckland Bangkok Bogota´ Buenos Aires Cape Town Chennai Dar es Salaam Delhi Florence HongKong Istanbul Karachi Kolkata Kuala Lumpur Madrid Melbourne Mexico City Mumbai Nairobi Paris Sao Paulo Shanghai Singapore Taipei Tokyo Toronto Warsaw and associated companies in Berlin Ibadan Copyright ᭧ 2001 by Oxford University Press, Inc. Published by Oxford University Press, Inc. 198 Madison Avenue, New York, New York 10016 Oxford is a registered trademark of Oxford University Press All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of Oxford University Press. Library of Congress Cataloging-in-Publication Data Cropper, William H. Great Physicists: the life and times of leadingphysicists from Galileo to Hawking/ William H. Cropper. p. cm Includes bibliographical references and index. ISBN 0–19–513748–5 1. Physicists—Biography. I. Title. QC15 .C76 2001 530'.092'2—dc21 [B] 2001021611 987654321 Printed in the United States of America on acid-free paper Contents Preface ix Acknowledgments xi I. Mechanics Historical Synopsis 3 1. How the Heavens Go 5 Galileo Galilei 2. A Man Obsessed 18 Isaac Newton II. Thermodynamics Historical Synopsis 41 3. A Tale of Two Revolutions 43 Sadi Carnot 4. On the Dark Side 51 Robert Mayer 5. A Holy Undertaking59 James Joule 6. Unities and a Unifier 71 Hermann Helmholtz 7. The Scientist as Virtuoso 78 William Thomson 8. -
Lecture 4: 09.16.05 Temperature, Heat, and Entropy
3.012 Fundamentals of Materials Science Fall 2005 Lecture 4: 09.16.05 Temperature, heat, and entropy Today: LAST TIME .........................................................................................................................................................................................2� State functions ..............................................................................................................................................................................2� Path dependent variables: heat and work..................................................................................................................................2� DEFINING TEMPERATURE ...................................................................................................................................................................4� The zeroth law of thermodynamics .............................................................................................................................................4� The absolute temperature scale ..................................................................................................................................................5� CONSEQUENCES OF THE RELATION BETWEEN TEMPERATURE, HEAT, AND ENTROPY: HEAT CAPACITY .......................................6� The difference between heat and temperature ...........................................................................................................................6� Defining heat capacity.................................................................................................................................................................6� -
HEAT and TEMPERATURE Heat Is a Type of ENERGY. When Absorbed
HEAT AND TEMPERATURE Heat is a type of ENERGY. When absorbed by a substance, heat causes inter-particle bonds to weaken and break which leads to a change of state (solid to liquid for example). Heat causing a phase change is NOT sufficient to cause an increase in temperature. Heat also causes an increase of kinetic energy (motion, friction) of the particles in a substance. This WILL cause an increase in TEMPERATURE. Temperature is NOT energy, only a measure of KINETIC ENERGY The reason why there is no change in temperature at a phase change is because the substance is using the heat only to change the way the particles interact (“stick together”). There is no increase in the particle motion and hence no rise in temperature. THERMAL ENERGY is one type of INTERNAL ENERGY possessed by an object. It is the KINETIC ENERGY component of the object’s internal energy. When thermal energy is transferred from a hot to a cold body, the term HEAT is used to describe the transferred energy. The hot body will decrease in temperature and hence in thermal energy. The cold body will increase in temperature and hence in thermal energy. Temperature Scales: The K scale is the absolute temperature scale. The lowest K temperature, 0 K, is absolute zero, the temperature at which an object possesses no thermal energy. The Celsius scale is based upon the melting point and boiling point of water at 1 atm pressure (0, 100o C) K = oC + 273.13 UNITS OF HEAT ENERGY The unit of heat energy we will use in this lesson is called the JOULE (J). -
The First Law of Thermodynamics for Closed Systems A) the Energy
Chapter 3: The First Law of Thermodynamics for Closed Systems a) The Energy Equation for Closed Systems We consider the First Law of Thermodynamics applied to stationary closed systems as a conservation of energy principle. Thus energy is transferred between the system and the surroundings in the form of heat and work, resulting in a change of internal energy of the system. Internal energy change can be considered as a measure of molecular activity associated with change of phase or temperature of the system and the energy equation is represented as follows: Heat (Q) Energy transferred across the boundary of a system in the form of heat always results from a difference in temperature between the system and its immediate surroundings. We will not consider the mode of heat transfer, whether by conduction, convection or radiation, thus the quantity of heat transferred during any process will either be specified or evaluated as the unknown of the energy equation. By convention, positive heat is that transferred from the surroundings to the system, resulting in an increase in internal energy of the system Work (W) In this course we consider three modes of work transfer across the boundary of a system, as shown in the following diagram: Source URL: http://www.ohio.edu/mechanical/thermo/Intro/Chapt.1_6/Chapter3a.html Saylor URL: http://www.saylor.org/me103#4.1 Attributed to: Israel Urieli www.saylor.org Page 1 of 7 In this course we are primarily concerned with Boundary Work due to compression or expansion of a system in a piston-cylinder device as shown above. -
Law of Conversation of Energy
Law of Conservation of Mass: "In any kind of physical or chemical process, mass is neither created nor destroyed - the mass before the process equals the mass after the process." - the total mass of the system does not change, the total mass of the products of a chemical reaction is always the same as the total mass of the original materials. "Physics for scientists and engineers," 4th edition, Vol.1, Raymond A. Serway, Saunders College Publishing, 1996. Ex. 1) When wood burns, mass seems to disappear because some of the products of reaction are gases; if the mass of the original wood is added to the mass of the oxygen that combined with it and if the mass of the resulting ash is added to the mass o the gaseous products, the two sums will turn out exactly equal. 2) Iron increases in weight on rusting because it combines with gases from the air, and the increase in weight is exactly equal to the weight of gas consumed. Out of thousands of reactions that have been tested with accurate chemical balances, no deviation from the law has ever been found. Law of Conversation of Energy: The total energy of a closed system is constant. Matter is neither created nor destroyed – total mass of reactants equals total mass of products You can calculate the change of temp by simply understanding that energy and the mass is conserved - it means that we added the two heat quantities together we can calculate the change of temperature by using the law or measure change of temp and show the conservation of energy E1 + E2 = E3 -> E(universe) = E(System) + E(Surroundings) M1 + M2 = M3 Is T1 + T2 = unknown (No, no law of conservation of temperature, so we have to use the concept of conservation of energy) Total amount of thermal energy in beaker of water in absolute terms as opposed to differential terms (reference point is 0 degrees Kelvin) Knowns: M1, M2, T1, T2 (Kelvin) When add the two together, want to know what T3 and M3 are going to be. -
Heat Energy a Science A–Z Physical Series Word Count: 1,324 Heat Energy
Heat Energy A Science A–Z Physical Series Word Count: 1,324 Heat Energy Written by Felicia Brown Visit www.sciencea-z.com www.sciencea-z.com KEY ELEMENTS USED IN THIS BOOK The Big Idea: One of the most important types of energy on Earth is heat energy. A great deal of heat energy comes from the Sun’s light Heat Energy hitting Earth. Other sources include geothermal energy, friction, and even living things. Heat energy is the driving force behind everything we do. This energy gives us the ability to run, dance, sing, and play. We also use heat energy to warm our homes, cook our food, power our vehicles, and create electricity. Key words: cold, conduction, conductor, convection, energy, evaporate, fire, friction, fuel, gas, geothermal heat, geyser, heat energy, hot, insulation, insulator, lightning, liquid, matter, particles, radiate, radiant energy, solid, Sun, temperature, thermometer, transfer, volcano Key comprehension skill: Cause and effect Other suitable comprehension skills: Compare and contrast; classify information; main idea and details; identify facts; elements of a genre; interpret graphs, charts, and diagram Key reading strategy: Connect to prior knowledge Other suitable reading strategies: Ask and answer questions; summarize; visualize; using a table of contents and headings; using a glossary and bold terms Photo Credits: Front cover: © iStockphoto.com/Julien Grondin; back cover, page 5: © iStockphoto.com/ Arpad Benedek; title page, page 20 (top): © iStockphoto.com/Anna Ziska; pages 3, 9, 20 (bottom): © Jupiterimages Corporation; -
Chapter 6. Time Evolution in Quantum Mechanics
6. Time Evolution in Quantum Mechanics 6.1 Time-dependent Schrodinger¨ equation 6.1.1 Solutions to the Schr¨odinger equation 6.1.2 Unitary Evolution 6.2 Evolution of wave-packets 6.3 Evolution of operators and expectation values 6.3.1 Heisenberg Equation 6.3.2 Ehrenfest’s theorem 6.4 Fermi’s Golden Rule Until now we used quantum mechanics to predict properties of atoms and nuclei. Since we were interested mostly in the equilibrium states of nuclei and in their energies, we only needed to look at a time-independent description of quantum-mechanical systems. To describe dynamical processes, such as radiation decays, scattering and nuclear reactions, we need to study how quantum mechanical systems evolve in time. 6.1 Time-dependent Schro¨dinger equation When we first introduced quantum mechanics, we saw that the fourth postulate of QM states that: The evolution of a closed system is unitary (reversible). The evolution is given by the time-dependent Schrodinger¨ equation ∂ ψ iI | ) = ψ ∂t H| ) where is the Hamiltonian of the system (the energy operator) and I is the reduced Planck constant (I = h/H2π with h the Planck constant, allowing conversion from energy to frequency units). We will focus mainly on the Schr¨odinger equation to describe the evolution of a quantum-mechanical system. The statement that the evolution of a closed quantum system is unitary is however more general. It means that the state of a system at a later time t is given by ψ(t) = U(t) ψ(0) , where U(t) is a unitary operator. -
Physics H190 Spring 2005 Notes 1 Timeline for Nineteenth Century Physics
Physics H190 Spring 2005 Notes 1 Timeline for Nineteenth Century Physics In these notes we give a timeline of major events in 19th century physics, to orient ourselves to the way Planck and other physicists thought about physical problems in the late nineteenth century, and also to understand the open problems that existed at that time. We will start with thermal physics in the nineteenth century, which is most relevant to the story of black body radiation, although toward the end of the century thermal physics becomes mixed with electromagnetic theory. Indeed, the problem of black body radiation was fundamentally one of understanding the thermodynamics of the electromagnetic field. At the beginning of the nineteenth century, the prevailing theory of thermal physics was the caloric theory, in which heat was conceived of as a fluid, called caloric, which presumably permeated all bodies. A given body had more or less caloric, depending on its temperature. The theory gave a satisfactory accounting of a certain range of experimental data, including quantitative issues. For example, one could define a certain quantity of heat (the calorie) as the amount of heat (caloric) needed to heat one gram of water by one degree Centrigrade. If the water later cooled off by contact with colder bodies, one could say that the caloric had flowed out. It is remarkable that Carnot in 1824 gave a formulation of what is now considered the second law of thermodynamics, considering that it was based on the (defective) caloric the- ory. Of course, Carnot did not call it the second law, since the first law of thermodynamics was not known yet. -
TEMPERATURE, HEAT, and SPECIFIC HEAT INTRODUCTION Temperature and Heat Are Two Topics That Are Often Confused
TEMPERATURE, HEAT, AND SPECIFIC HEAT INTRODUCTION Temperature and heat are two topics that are often confused. Temperature measures how hot or cold an object is. Commonly this is measured with the aid of a thermometer even though other devices such as thermocouples and pyrometers are also used. Temperature is an intensive property; it does not depend on the amount of material present. In scientific work, temperature is most commonly expressed in units of degrees Celsius. On this scale the freezing point of water is 0oC and its boiling point is 100oC. Heat is a form of energy and is a phenomenon that has its origin in the motion of particles that make up a substance. Heat is an extensive property. The unit of heat in the metric system is called the calorie (cal). One calorie is defined as the amount of heat necessary to raise 1 gram of water by 1oC. This means that if you wish to raise 7 g of water by 4oC, (4)(7) = 28 cal would be required. A somewhat larger unit than the calorie is the kilocalorie (kcal) which equals 1000 cal. The definition of the calorie was made in reference to a particular substance, namely water. It takes 1 cal to raise the temperature of 1 g of water by 1oC. Does this imply perhaps that the amount of heat energy necessary to raise 1 g of other substances by 1oC is not equal to 1 cal? Experimentally we indeed find this to be true. In the modern system of international units heat is expressed in joules and kilojoules. -
1. Define Open, Closed, Or Isolated Systems. If You Use an Open System As a Calorimeter, What Is the State Function You Can Calculate from the Temperature Change
CH301 Worksheet 13b Answer Key—Internal Energy Lecture 1. Define open, closed, or isolated systems. If you use an open system as a calorimeter, what is the state function you can calculate from the temperature change. If you use a closed system as a calorimeter, what is the state function you can calculate from the temperature? Answer: An open system can exchange both matter and energy with the surroundings. Δ H is measured when an open system is used as a calorimeter. A closed system has a fixed amount of matter, but it can exchange energy with the surroundings. Δ U is measured when a closed system is used as a calorimeter because there is no change in volume and thus no expansion work can be done. An isolated system has no contact with its surroundings. The universe is considered an isolated system but on a less profound scale, your thermos for keeping liquids hot approximates an isolated system. 2. Rank, from greatest to least, the types internal energy found in a chemical system: Answer: The energy that holds the nucleus together is much greater than the energy in chemical bonds (covalent, metallic, network, ionic) which is much greater than IMF (Hydrogen bonding, dipole, London) which depending on temperature are approximate in value to motional energy (vibrational, rotational, translational). 3. Internal energy is a state function. Work and heat (w and q) are not. Explain. Answer: A state function (like U, V, T, S, G) depends only on the current state of the system so if the system is changed from one state to another, the change in a state function is independent of the path. -
Lecture 6: Entropy
Matthew Schwartz Statistical Mechanics, Spring 2019 Lecture 6: Entropy 1 Introduction In this lecture, we discuss many ways to think about entropy. The most important and most famous property of entropy is that it never decreases Stot > 0 (1) Here, Stot means the change in entropy of a system plus the change in entropy of the surroundings. This is the second law of thermodynamics that we met in the previous lecture. There's a great quote from Sir Arthur Eddington from 1927 summarizing the importance of the second law: If someone points out to you that your pet theory of the universe is in disagreement with Maxwell's equationsthen so much the worse for Maxwell's equations. If it is found to be contradicted by observationwell these experimentalists do bungle things sometimes. But if your theory is found to be against the second law of ther- modynamics I can give you no hope; there is nothing for it but to collapse in deepest humiliation. Another possibly relevant quote, from the introduction to the statistical mechanics book by David Goodstein: Ludwig Boltzmann who spent much of his life studying statistical mechanics, died in 1906, by his own hand. Paul Ehrenfest, carrying on the work, died similarly in 1933. Now it is our turn to study statistical mechanics. There are many ways to dene entropy. All of them are equivalent, although it can be hard to see. In this lecture we will compare and contrast dierent denitions, building up intuition for how to think about entropy in dierent contexts. The original denition of entropy, due to Clausius, was thermodynamic. -
Chapter IX Atoms, Caloric, and the Kinetic Theory of Heat
Chapter IX Atoms, Caloric, and the Kinetic Theory of Heat It troubled me as once I was, For I was once a child, Concluding how an Atom fell, And yet the Heavens held. The Heavens weighed the most by far, Yet Blue and solid stood, Without a bolt that I could prove. Would Giants understand? - Emily Dickinson The idea that there is an indivisible unit of matter, an atom, dates back to the Greeks. It was advocated by Leucippus and Democritus, and ridiculed by Aristotle. The modern theory got going around 1785-1803 with the experiments and interpretations of Lavoisier, Dalton, and Proust (Joseph the chemist, not Marcel the writer). The most important result was that chemical reactions always involved different substances in definite proportions – which Dalton interpreted as arising from the pairing of elements to form molecules, in definite proportions (1:1, 1:2, etc.) This didn't persuade many physicists, however; it was one fairly complex hypothesis to explain one type of experimental result. In addition, the postulated atoms had a size and mass smaller than anything that can be directly observed. Not observable... this sounded suspicious. Meanwhile, there was a fierce debate raging in physics about the nature of heat. Lying in a hot bath, or at the side of a hot fire, or under the hot Sun, one gets a strong impression that heat is a fluid. The fluid received an official name – caloric – and many books were written exploring the properties of caloric. For one thing, it's self-repellent – that's why heat always spreads to its - 2 - adjacent surroundings.