Ludwig Boltzmann the Man Who Trusted Atoms
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Biochemical Thermodynamics
Biochemical Thermodynamics Biochemical Thermodynamics By Juan S. Jiménez Biochemical Thermodynamics By Juan S. Jiménez This book first published 2020 Cambridge Scholars Publishing Lady Stephenson Library, Newcastle upon Tyne, NE6 2PA, UK British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Copyright © 2020 by Juan S. Jiménez All rights for this book reserved. No part of this book 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 the copyright owner. ISBN (10): 1-5275-5359-0 ISBN (13): 978-1-5275-5359-0 To the memory of Brígida and Francisco Jiménez CONTENTS PREFACE ..................................................................................................... x CHAPTER 1 .................................................................................................. 1 INTRODUCTION 1.1 The Atomic Theory of John Dalton and the Hypothesis of Amedeo Avogadro 1.2 The Mole and Avogadro’s Number 1.3 The ideal gas model 1.4 The Periodic Table and Initial Atomic Theories 1.5 The Hydrogen Atom and the Schrödinger Equation 1.6 Atomic Structure 1.7 Molecules CHAPTER 2 ................................................................................................ 35 ENTROPY 2.1 Systems, Properties and States 2.2 The First Law of Thermodynamics 2.3 Enthalpy 2.4 Reversible changes 2.5 The Second Law of Thermodynamics 2.6 A Particle in a One-dimensional Box 2.7 Quantum States 2.8 The Boltzmann Equation CHAPTER 3 ................................................................................................ 63 THE CHEMICAL EQUILIBRIUM 3.1 The Gibbs Function 3.2 The Chemical Potential 3.3 Chemical Equilibrium 3.4 Model Systems 3.5 The Equilibrium Constant for Chemical Reactions between Gases. -
Amedeo Avogadro
Amedeo Avogadro ALSO LISTED IN Physicists FAMOUS AS Chemist and Physicist NATIONALITY Italian Famous Italian Men RELIGION Roman Catholic BORN ON 09 August 1776 AD Famous 9th August Birthdays ZODIAC SIGN Leo Leo Men BORN IN Turin, Italy DIED ON 09 July 1856 AD PLACE OF DEATH Turin, Italy FATHER Filippo Avogadro MOTHER Anna Maria Vercellone SPOUSE: Felicita Mazzé Lorenzo Romano Amedeo Carlo Avogadro de Quaregna e di Cerreto, more popularly known as Amedeo Avogadro was born on August 9, 1776, in Turin, Italy. He was a gifted physicist and chemist who proposed the molecular theory, which is more popularly known as ‘Avogadro’s Law’. Although he earned a doctorate in ecclesiastical law, he developed a passion for studying mathematics and physics. He then gave up his career in law and pursued a career teaching natural physics at the Royal College of Vercelli. Years later, he was offered the chair of mathematical physics at the University of Turin. Avogadro conducted experiments in both physics and chemistry using mathematics as a basis for his findings. His hypothesis, known as the ‘Avogadro’s Law’ is recognized all over the world. He also published many works during his lifetime. The number 6.02214199 x 10^23 is named as Avogadro’s number to honor him for his contribution in molecular theory. Read on to know more about this great physicist and chemist. Read more at http://www.thefamouspeople.com/profiles/amadeo-avogadro- 532.php#09s5lE6QjEOdfSro.99 Career After studying philosophy in 1789, Amedeo Avogadro graduated in jurisprudence in 1792 and earned his doctorate in ecclesiastical law in 1796. -
Chemistry in Italy During Late 18Th and 19Th Centuries
CHEMISTRY IN ITALY DURING LATE 18TH AND 19TH CENTURIES Ignazio Renato Bellobono, CSci, CChem, FRSC LASA, Department of Physics, University of Milan. e-mail add ress : i.bell obon o@ti scali.it LASA, Dept.Dept. ofPhysics, Physics, University of Milan The birth of Electrochemistry Luigi Galvani, Alessandro Volta, and Luigi Valentino Brugnatelli From Chemistry to Radiochemistry The birth of Chemistry and Periodic Table Amedeo Avogadro and Stanislao Cannizzaro Contributions to Organic Chemistry LASA, Dept.Dept. ofPhysics, Physics, University of Milan 1737 At the Faculty of Medicine of the Bologna University, the first chair of Chemistry is establishedestablished,,andandassigned to Jacopo Bartolomeo BECCARI (1692-1766). He studied phosphorescence and the action of light on silver halides 1776 In some marshes of the Lago Maggiore, near AngeraAngera,, Alessandro VOLTA ((17451745--18271827),),hi gh school teacher of physics in Como, individuates a flammable gas, which he calls aria infiammabile. Methane is thus discovereddiscovered.. Two years laterlater,,heheis assignedassigned,,asas professor of experimental phihysicscs,,toto the UiUniversi ty of PiPavia LASA, DtDept. of PhPhys icscs,, University of Milan 1778 In aletter a letter to Horace Bénédict de Saussure, aaSwissSwiss naturalist, VOLTA introduces, beneath that of electrical capacitycapacity,, the fundamental concept of tensione elettrica (electrical tension), exactly the name that CITCE recommended for the difference of potential in an electrochemical cell. 17901790--17911791 VOLTA anticipatesanticipates,,bybyabout 10 yearsyears,,thethe GAYGAY--LUSSACLUSSAC linear de ppyendency of gas volume on tem pp,erature, at constant pressurepressure,,andandafew a fewyears later ((17951795)) anticipatesanticipates,,byby about 6years 6 years,,thethe soso--calledcalled John Dalton’s rules ((18011801))ononvapour pressure LASA, Dept.Dept. -
Blackbody Radiation: (Vibrational Energies of Atoms in Solid Produce BB Radiation)
Independent study in physics The Thermodynamic Interaction of Light with Matter Mirna Alhanash Project in Physics Uppsala University Contents Abstract ................................................................................................................................................................................ 3 Introduction ......................................................................................................................................................................... 3 Blackbody Radiation: (vibrational energies of atoms in solid produce BB radiation) .................................... 4 Stefan-Boltzmann .............................................................................................................................................................. 6 Wien displacement law..................................................................................................................................................... 7 Photoelectric effect ......................................................................................................................................................... 12 Frequency dependence/Atom model & electron excitation .................................................................................. 12 Why we see colours ....................................................................................................................................................... 14 Optical properties of materials: .................................................................................................................................. -
Ludwig Boltzmann Was Born in Vienna, Austria. He Received His Early Education from a Private Tutor at Home
Ludwig Boltzmann (1844-1906) Ludwig Boltzmann was born in Vienna, Austria. He received his early education from a private tutor at home. In 1863 he entered the University of Vienna, and was awarded his doctorate in 1866. His thesis was on the kinetic theory of gases under the supervision of Josef Stefan. Boltzmann moved to the University of Graz in 1869 where he was appointed chair of the department of theoretical physics. He would move six more times, occupying chairs in mathematics and experimental physics. Boltzmann was one of the most highly regarded scientists, and universities wishing to increase their prestige would lure him to their institutions with high salaries and prestigious posts. Boltzmann himself was subject to mood swings and he joked that this was due to his being born on the night between Shrove Tuesday and Ash Wednesday (or between Carnival and Lent). Traveling and relocating would temporarily provide relief from his depression. He married Henriette von Aigentler in 1876. They had three daughters and two sons. Boltzmann is best known for pioneering the field of statistical mechanics. This work was done independently of J. Willard Gibbs (who never moved from his home in Connecticut). Together their theories connected the seemingly wide gap between the macroscopic properties and behavior of substances with the microscopic properties and behavior of atoms and molecules. Interestingly, the history of statistical mechanics begins with a mathematical prize at Cambridge in 1855 on the subject of evaluating the motions of Saturn’s rings. (Laplace had developed a mechanical theory of the rings concluding that their stability was due to irregularities in mass distribution.) The prize was won by James Clerk Maxwell who then went on to develop the theory that, without knowing the individual motions of particles (or molecules), it was possible to use their statistical behavior to calculate properties of a gas such as viscosity, collision rate, diffusion rate and the ability to conduct heat. -
Physics/9803005
UWThPh-1997-52 27. Oktober 1997 History and outlook of statistical physics 1 Dieter Flamm Institut f¨ur Theoretische Physik der Universit¨at Wien, Boltzmanngasse 5, 1090 Vienna, Austria Email: [email protected] Abstract This paper gives a short review of the history of statistical physics starting from D. Bernoulli’s kinetic theory of gases in the 18th century until the recent new developments in nonequilibrium kinetic theory in the last decades of this century. The most important contributions of the great physicists Clausius, Maxwell and Boltzmann are sketched. It is shown how the reversibility and the recurrence paradox are resolved within Boltzmann’s statistical interpretation of the second law of thermodynamics. An approach to classical and quantum statistical mechanics is outlined. Finally the progress in nonequilibrium kinetic theory in the second half of this century is sketched starting from the work of N.N. Bogolyubov in 1946 up to the progress made recently in understanding the diffusion processes in dense fluids using computer simulations and analytical methods. arXiv:physics/9803005v1 [physics.hist-ph] 4 Mar 1998 1Paper presented at the Conference on Creativity in Physics Education, on August 23, 1997, in Sopron, Hungary. 1 In the 17th century the physical nature of the air surrounding the earth was es- tablished. This was a necessary prerequisite for the formulation of the gas laws. The invention of the mercuri barometer by Evangelista Torricelli (1608–47) and the fact that Robert Boyle (1627–91) introduced the pressure P as a new physical variable where im- portant steps. Then Boyle–Mariotte’s law PV = const. -
The Philosophy and Physics of Time Travel: the Possibility of Time Travel
University of Minnesota Morris Digital Well University of Minnesota Morris Digital Well Honors Capstone Projects Student Scholarship 2017 The Philosophy and Physics of Time Travel: The Possibility of Time Travel Ramitha Rupasinghe University of Minnesota, Morris, [email protected] Follow this and additional works at: https://digitalcommons.morris.umn.edu/honors Part of the Philosophy Commons, and the Physics Commons Recommended Citation Rupasinghe, Ramitha, "The Philosophy and Physics of Time Travel: The Possibility of Time Travel" (2017). Honors Capstone Projects. 1. https://digitalcommons.morris.umn.edu/honors/1 This Paper is brought to you for free and open access by the Student Scholarship at University of Minnesota Morris Digital Well. It has been accepted for inclusion in Honors Capstone Projects by an authorized administrator of University of Minnesota Morris Digital Well. For more information, please contact [email protected]. The Philosophy and Physics of Time Travel: The possibility of time travel Ramitha Rupasinghe IS 4994H - Honors Capstone Project Defense Panel – Pieranna Garavaso, Michael Korth, James Togeas University of Minnesota, Morris Spring 2017 1. Introduction Time is mysterious. Philosophers and scientists have pondered the question of what time might be for centuries and yet till this day, we don’t know what it is. Everyone talks about time, in fact, it’s the most common noun per the Oxford Dictionary. It’s in everything from history to music to culture. Despite time’s mysterious nature there are a lot of things that we can discuss in a logical manner. Time travel on the other hand is even more mysterious. -
Josiah Willard Gibbs
GENERAL ARTICLE Josiah Willard Gibbs V Kumaran The foundations of classical thermodynamics, as taught in V Kumaran is a professor textbooks today, were laid down in nearly complete form by of chemical engineering at the Indian Institute of Josiah Willard Gibbs more than a century ago. This article Science, Bangalore. His presentsaportraitofGibbs,aquietandmodestmanwhowas research interests include responsible for some of the most important advances in the statistical mechanics and history of science. fluid mechanics. Thermodynamics, the science of the interconversion of heat and work, originated from the necessity of designing efficient engines in the late 18th and early 19th centuries. Engines are machines that convert heat energy obtained by combustion of coal, wood or other types of fuel into useful work for running trains, ships, etc. The efficiency of an engine is determined by the amount of useful work obtained for a given amount of heat input. There are two laws related to the efficiency of an engine. The first law of thermodynamics states that heat and work are inter-convertible, and it is not possible to obtain more work than the amount of heat input into the machine. The formulation of this law can be traced back to the work of Leibniz, Dalton, Joule, Clausius, and a host of other scientists in the late 17th and early 18th century. The more subtle second law of thermodynamics states that it is not possible to convert all heat into work; all engines have to ‘waste’ some of the heat input by transferring it to a heat sink. The second law also established the minimum amount of heat that has to be wasted based on the absolute temperatures of the heat source and the heat sink. -
Episode 1: Phis Wants to Be a Physicist
Episode 1: Phis wants to be a physicist Illustration: Xia Hong Script: Xia Hong 12/2012 Phis is 14 years old. Like most kids of her age, she’s a bit anxious about finding the person inside her… She tried singing. Hmm… “You are very talented, Phis!” Her best friend Lizzy told her. Sports are also not her cup of tea… Episode 1: Phis wants to be a physicist 1 “I wish I could But why I’m short, but does height I’m very be as confident She’s smart. She’s pretty. matter?! confident! as Lizzy!” Phis And she is told her little taller than me! sister Chemi. No wonder she’s “Then I would so confident! know what I can do.” “Who says size doesn’t matter?” Phis is not convinced. “Just read the newspaper…” “It’s always good to be either really small or really big, not in between!” Even her name sounds sharp — it is the same as the Lizzy in Pride and Prejudice ! Chemi, don’t you think our names are a bit strange? Episode 1: Phis wants to be a physicist 2 Phis’s self-search reached a conclusion after a monthly Science Day event in school hosted by Ms. Allen. What I’ll show you today is the It is our fascinating pleasure world of to have quantum Prof. Lee mechanics. here. Imagine, we live in the quantum world. Quantum We have to comply to its rules, and behave very We no longer have a differently from certain answer for things our normal life. -
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. -
Avogadro's Constant
Avogadro's Constant Nancy Eisenmenger Question Artem, 8th grade How \Avogadro constant" was invented and how scientists calculated it for the first time? Answer What is Avogadro's Constant? • Avogadros constant, NA: the number of particles in a mole • mole: The number of Carbon-12 atoms in 0.012 kg of Carbon-12 23 −1 • NA = 6:02214129(27) × 10 mol How was Avogadro's Constant Invented? Avogadro's constant was invented because scientists were learning about measuring matter and wanted a way to relate the microscopic to the macroscopic (e.g. how many particles (atoms, molecules, etc.) were in a sample of matter). The first scientists to see a need for Avogadro's constant were studying gases and how they behave under different temperatures and pressures. Amedeo Avogadro did not invent the constant, but he did state that all gases with the same volume, pressure, and temperature contained the same number of gas particles, which turned out to be very important to the development of our understanding of the principles of chemistry and physics. The constant was first calculated by Johann Josef Loschmidt, a German scientist, in 1865. He actually calculated the Loschmidt number, a constant that measures the same thing as Avogadro's number, but in different units (ideal gas particles per cubic meter at 0◦C and 1 atm). When converted to the same units, his number was off by about a factor of 10 from Avogadro's number. That may sound like a lot, but given the tools he had to work with for both theory and experiment and the magnitude of the number (∼ 1023), that is an impressively close estimate. -
The Mole and Avogadro's Number
The Mole and Avogadro's Number The name mole (German Mol) is attributed to Wilhelm Ostwald who introduced the concept in the year 1902. It is an abbreviation for molecule (German Molekül), which is in turn derived from Latin moles "mass, massive structure". (From the Wikipedia article on the mole unit.) A good site that introduces the mole concept and includes sample calculations and practice problems can be found here, from John Park's excellent ChemTeam site. For some interesting background on Avogadro's number, see here. By T.A. Furtsch, Tennessee Technological University, Cookeville, TN. Don't miss the interview with Count Amedeo Avogadro and his wife the Countess Felicita, located here (thanks to Kory Tonouchi, Roosevelt High, Honolulu, HI). Avogadro's 1811 publication, "Essay on a Manner of Determining the Relative Masses of the Elementary Molecules of Bodies, and the Proportions in Which They Enter into These Compounds", may be found here (thanks to Carmen Giunta, Le Moyne College, Syracuse, NY). A fun "mole" page to visit is here. It is a collection of student projects from Carondelet High School. Back in '98 they had a mole mystery described here. Did you know we have a mole day? Find out about it here. And for some corny mole jokes, don't miss the Dictionary of Mole Day Terms & Jokes here! Introduction A mole of objects contains Avogadro's number, 6.022 X 1023, objects. Just as a dozen apples is 12 apples, a mole of apples is 6.022 X 1023 apples. A mole of iron atoms is 6.022 X 1023 iron atoms.