Thermodynamic State, Specific Heat, and Enthalpy Function 01 Saturated UO Z Vapor Between 3000 Kand 5000 K
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Thermodynamics Notes
Thermodynamics Notes Steven K. Krueger Department of Atmospheric Sciences, University of Utah August 2020 Contents 1 Introduction 1 1.1 What is thermodynamics? . .1 1.2 The atmosphere . .1 2 The Equation of State 1 2.1 State variables . .1 2.2 Charles' Law and absolute temperature . .2 2.3 Boyle's Law . .3 2.4 Equation of state of an ideal gas . .3 2.5 Mixtures of gases . .4 2.6 Ideal gas law: molecular viewpoint . .6 3 Conservation of Energy 8 3.1 Conservation of energy in mechanics . .8 3.2 Conservation of energy: A system of point masses . .8 3.3 Kinetic energy exchange in molecular collisions . .9 3.4 Working and Heating . .9 4 The Principles of Thermodynamics 11 4.1 Conservation of energy and the first law of thermodynamics . 11 4.1.1 Conservation of energy . 11 4.1.2 The first law of thermodynamics . 11 4.1.3 Work . 12 4.1.4 Energy transferred by heating . 13 4.2 Quantity of energy transferred by heating . 14 4.3 The first law of thermodynamics for an ideal gas . 15 4.4 Applications of the first law . 16 4.4.1 Isothermal process . 16 4.4.2 Isobaric process . 17 4.4.3 Isosteric process . 18 4.5 Adiabatic processes . 18 5 The Thermodynamics of Water Vapor and Moist Air 21 5.1 Thermal properties of water substance . 21 5.2 Equation of state of moist air . 21 5.3 Mixing ratio . 22 5.4 Moisture variables . 22 5.5 Changes of phase and latent heats . -
Physical Mechanism of Superconductivity
Physical Mechanism of Superconductivity Part 1 – High Tc Superconductors Xue-Shu Zhao, Yu-Ru Ge, Xin Zhao, Hong Zhao ABSTRACT The physical mechanism of superconductivity is proposed on the basis of carrier-induced dynamic strain effect. By this new model, superconducting state consists of the dynamic bound state of superconducting electrons, which is formed by the high-energy nonbonding electrons through dynamic interaction with their surrounding lattice to trap themselves into the three - dimensional potential wells lying in energy at above the Fermi level of the material. The binding energy of superconducting electrons dominates the superconducting transition temperature in the corresponding material. Under an electric field, superconducting electrons move coherently with lattice distortion wave and periodically exchange their excitation energy with chain lattice, that is, the superconducting electrons transfer periodically between their dynamic bound state and conducting state, so the superconducting electrons cannot be scattered by the chain lattice, and supercurrent persists in time. Thus, the intrinsic feature of superconductivity is to generate an oscillating current under a dc voltage. The wave length of an oscillating current equals the coherence length of superconducting electrons. The coherence lengths in cuprates must have the value equal to an even number times the lattice constant. A superconducting material must simultaneously satisfy the following three criteria required by superconductivity. First, the superconducting materials must possess high – energy nonbonding electrons with the certain concentrations required by their coherence lengths. Second, there must exist three – dimensional potential wells lying in energy at above the Fermi level of the material. Finally, the band structure of a superconducting material should have a widely dispersive antibonding band, which crosses the Fermi level and runs over the height of the potential wells to ensure the normal state of the material being metallic. -
Thermodynamic State Variables Gunt
Fundamentals of thermodynamics 1 Thermodynamic state variables gunt Basic knowledge Thermodynamic state variables Thermodynamic systems and principles Change of state of gases In physics, an idealised model of a real gas was introduced to Equation of state for ideal gases: State variables are the measurable properties of a system. To make it easier to explain the behaviour of gases. This model is a p × V = m × Rs × T describe the state of a system at least two independent state system boundaries highly simplifi ed representation of the real states and is known · m: mass variables must be given. surroundings as an “ideal gas”. Many thermodynamic processes in gases in · Rs: spec. gas constant of the corresponding gas particular can be explained and described mathematically with State variables are e.g.: the help of this model. system • pressure (p) state process • temperature (T) • volume (V) Changes of state of an ideal gas • amount of substance (n) Change of state isochoric isobaric isothermal isentropic Condition V = constant p = constant T = constant S = constant The state functions can be derived from the state variables: Result dV = 0 dp = 0 dT = 0 dS = 0 • internal energy (U): the thermal energy of a static, closed Law p/T = constant V/T = constant p×V = constant p×Vκ = constant system. When external energy is added, processes result κ =isentropic in a change of the internal energy. exponent ∆U = Q+W · Q: thermal energy added to the system · W: mechanical work done on the system that results in an addition of heat An increase in the internal energy of the system using a pressure cooker as an example. -
Basic Thermodynamics-17ME33.Pdf
Module -1 Fundamental Concepts & Definitions & Work and Heat MODULE 1 Fundamental Concepts & Definitions Thermodynamics definition and scope, Microscopic and Macroscopic approaches. Some practical applications of engineering thermodynamic Systems, Characteristics of system boundary and control surface, examples. Thermodynamic properties; definition and units, intensive and extensive properties. Thermodynamic state, state point, state diagram, path and process, quasi-static process, cyclic and non-cyclic processes. Thermodynamic equilibrium; definition, mechanical equilibrium; diathermic wall, thermal equilibrium, chemical equilibrium, Zeroth law of thermodynamics, Temperature; concepts, scales, fixed points and measurements. Work and Heat Mechanics, definition of work and its limitations. Thermodynamic definition of work; examples, sign convention. Displacement work; as a part of a system boundary, as a whole of a system boundary, expressions for displacement work in various processes through p-v diagrams. Shaft work; Electrical work. Other types of work. Heat; definition, units and sign convention. 10 Hours 1st Hour Brain storming session on subject topics Thermodynamics definition and scope, Microscopic and Macroscopic approaches. Some practical applications of engineering thermodynamic Systems 2nd Hour Characteristics of system boundary and control surface, examples. Thermodynamic properties; definition and units, intensive and extensive properties. 3rd Hour Thermodynamic state, state point, state diagram, path and process, quasi-static -
Thermal Equilibrium State of the World Oceans
Thermal equilibrium state of the ocean Rui Xin Huang Department of Physical Oceanography Woods Hole Oceanographic Institution Woods Hole, MA 02543, USA April 24, 2010 Abstract The ocean is in a non-equilibrium state under the external forcing, such as the mechanical energy from wind stress and tidal dissipation, plus the huge amount of thermal energy from the air-sea interface and the freshwater flux associated with evaporation and precipitation. In the study of energetics of the oceanic circulation it is desirable to examine how much energy in the ocean is available. In order to calculate the so-called available energy, a reference state should be defined. One of such reference state is the thermal equilibrium state defined in this study. 1. Introduction Chemical potential is a part of the internal energy. Thermodynamics of a multiple component system can be established from the definition of specific entropy η . Two other crucial variables of a system, including temperature and specific chemical potential, can be defined as follows 1 ⎛⎞∂η ⎛⎞∂η = ⎜⎟, μi =−Tin⎜⎟, = 1,2,..., , (1) Te m ⎝⎠∂ vm, i ⎝⎠∂ i ev, where e is the specific internal energy, v is the specific volume, mi and μi are the mass fraction and chemical potential for the i-th component. For a multiple component system, the change in total chemical potential is the sum of each component, dc , where c is the mass fraction of each component. The ∑i μii i mass fractions satisfy the constraint c 1 . Thus, the mass fraction of water in sea ∑i i = water satisfies dc=− c , and the total chemical potential for sea water is wi∑iw≠ N −1 ∑()μμiwi− dc . -
Laws of Thermodynamics
Advanced Instructional School on Mechanics, 5 - 24, Dec 2011 Special lectures Laws of Thermodynamics K. P. N. Murthy School of Physics, University of Hyderabad Dec 15, 2011 K P N Murthy (UoH) Thermodynamics Dec 15, 2011 1 / 126 acknowledgement and warning acknowledgement: Thanks to Prof T Amaranath and V D Sharma for the invitation warning: I am going to talk about the essential contents of the laws of thermodynamics, tracing their origin, and their history The Zeroth law, the First law the Second law .....and may be the Third law, if time permits I leave it to your imagination to connect my talks to the theme of the School which is MECHANICS. K P N Murthy (UoH) Thermodynamics Dec 15, 2011 2 / 126 Each law provides an experimental basis for a thermodynamic property Zeroth law= ) Temperature, T First law= ) Internal Energy, U Second law= ) Entropy, S The earliest was the Second law discovered in the year 1824 by Sadi Carnot (1796-1832) Sadi Carnot Helmholtz Rumford Mayer Joule then came the First law - a few decades later, when Helmholtz consolidated and abstracted the experimental findings of Rumford, Mayer and Joule into a law. the Zeroth law arrived only in the twentieth century, and I think Max Planck was responsible for it K P N Murthy (UoH) Thermodynamics Dec 15, 2011 3 / 126 VOCALUBARY System: The small part of the universe under consideration: e.g. a piece of iron a glass of water an engine The rest of the universe (in which we stand and make observations and measurements on the system) is called the surroundings a glass of water is the system and the room in which the glass is placed is called the surrounding. -
Superconductivity
Superconductivity • Superconductivity is a phenomenon in which the resistance of the material to the electric current flow is zero. • Kamerlingh Onnes made the first discovery of the phenomenon in 1911 in mercury (Hg). • Superconductivity is not relatable to periodic table, such as atomic number, atomic weight, electro-negativity, ionization potential etc. • In fact, superconductivity does not even correlate with normal conductivity. In some cases, a superconducting compound may be formed from non- superconducting elements. 2 1 Critical Temperature • The quest for a near-roomtemperature superconductor goes on, with many scientists around the world trying different materials, or synthesizing them, to raise Tc even higher. • Silver, gold and copper do not show conductivity at low temperature, resistivity is limited by scattering and crystal defects. 3 Critical Temperature 4 2 Meissner Effect • A superconductor below Tc expels all the magnetic field from the bulk of the sample perfectly diamagnetic substance Meissner effect. • Below Tc a superconductor is a perfectly diamagnetic substance (χm = −1). • A superconductor with little or no magnetic field within it is in the Meissner state. 5 Levitating Magnet • The “no magnetic field inside a superconductor” levitates a magnet over a superconductor. • A magnet levitating above a superconductor immersed in liquid nitrogen (77 K). 6 3 Critical Field vs. Temperature 7 Penetration Depth • The field at a distance x from the surface: = − : Penetration depth • At the critical temperature, the penetration length is infinite and any magnetic field can penetrate the sample and destroy the superconducting state. • Near absolute zero of temperature, however, typical penetration depths are 10–100 nm. 8 4 Type I Superconductors • Meissner state breaks down abruptly. -
Thermodynamics Guide Definitions, Guides, and Tips Definitions What Each Thermodynamic Value Means Enthalpy of Formation
Thermodynamics Guide Definitions, guides, and tips Definitions What each thermodynamic value means Enthalpy of Formation Definition The enthalpy required or released during formation of a molecule from its elements. H2(g) + ½O2(g) → H2O(g) ∆Hºf(H2O) Sign: ∆Hºf can be positive or negative. Direction: From elements to product. Phase: The phase of the product being formed can be anything, but the elemental starting materials must be in their elemental standard phase. Notes: • RC&O Appendix 1 collects these values. • Limited by what values are experimentally available. • Knowing the elemental form of each atom is helpful. Ionization Enthalpy (IE) Definition The enthalpy required to remove one electron from an atom or ion. Li(g) → Li+(g) + e– IE(Li) Sign: IE is always positive — removing electrons from proximity of nucleus requires enthalpy input Direction: IE goes from atom to ion/electron pair. Phase: IE is a gas phase property. Reactants and products must be gas phase. Notes: • Phase descriptors are not generally given to an electron. • Ionization energy is taken to be identical to ionization enthalpy. • The first IE of Li(g) is shown above. A second, third, or higher IE can also be determined. Removing each additional electron costs even more enthalpy. Electron Affinity (EA) Definition How much enthalpy is gained when an electron is added to an atom or ion. (How much an atom “wants” an electron). Cl(g) + e– → Cl–(g) EA(Cl) Sign: EA is always positive, but the enthalpy is negative: ∆Hºrxn < 0. This is because of how we describe the property as an “affinity”. -
2016 SPRING Semester Midterm Examination for General Chemistry I
2016 SPRING Semester Midterm Examination For General Chemistry I Date: April 20 (Wed), Time Limit: 19:00 ~ 21:00 Write down your information neatly in the space provided below; print your Student ID in the upper right corner of every page. Professor Class Student I.D. Number Name Name Problem points Problem points TOTAL pts 1 /8 6 /12 2 /9 7 /8 3 /6 8 /15 /100 4 /8 9 /16 5 /8 10 /10 ** This paper consists of 15 sheets with 10 problems (page 13 - 14: constants & periodic table, page 15: claim form). Please check all page numbers before taking the exam. Write down your work and answers in the Answer sheet. Please write down the unit of your answer when applicable. You will get 30% deduction for a missing unit. NOTICE: SCHEDULES on RETURN and CLAIM of the MARKED EXAM PAPER. (채점답안지 분배 및 이의신청 일정) 1. Period, Location, and Procedure 1) Return and Claim Period: May 2 (Mon, 19: 00 ~ 20:00 p.m.) 2) Location: Room for quiz session 3) Procedure: Rule 1: Students cannot bring their own writing tools into the room. (Use a pen only provided by TA) Rule 2: With or without claim, you must submit the paper back to TA. (Do not go out of the room with it) If you have any claims on it, you can submit the claim paper with your opinion. After writing your opinions on the claim form, attach it to your mid-term paper with a stapler. Give them to TA. (The claim is permitted only on the period. -
Chapter 5 the Laws of Thermodynamics: Entropy, Free
Chapter 5 The laws of thermodynamics: entropy, free energy, information and complexity M.W. Collins1, J.A. Stasiek2 & J. Mikielewicz3 1School of Engineering and Design, Brunel University, Uxbridge, Middlesex, UK. 2Faculty of Mechanical Engineering, Gdansk University of Technology, Narutowicza, Gdansk, Poland. 3The Szewalski Institute of Fluid–Flow Machinery, Polish Academy of Sciences, Fiszera, Gdansk, Poland. Abstract The laws of thermodynamics have a universality of relevance; they encompass widely diverse fields of study that include biology. Moreover the concept of information-based entropy connects energy with complexity. The latter is of considerable current interest in science in general. In the companion chapter in Volume 1 of this series the laws of thermodynamics are introduced, and applied to parallel considerations of energy in engineering and biology. Here the second law and entropy are addressed more fully, focusing on the above issues. The thermodynamic property free energy/exergy is fully explained in the context of examples in science, engineering and biology. Free energy, expressing the amount of energy which is usefully available to an organism, is seen to be a key concept in biology. It appears throughout the chapter. A careful study is also made of the information-oriented ‘Shannon entropy’ concept. It is seen that Shannon information may be more correctly interpreted as ‘complexity’rather than ‘entropy’. We find that Darwinian evolution is now being viewed as part of a general thermodynamics-based cosmic process. The history of the universe since the Big Bang, the evolution of the biosphere in general and of biological species in particular are all subject to the operation of the second law of thermodynamics. -
Phenomenological Review on Quark–Gluon Plasma: Concepts Vs
Review Phenomenological Review on Quark–Gluon Plasma: Concepts vs. Observations Roman Pasechnik 1,* and Michal Šumbera 2 1 Department of Astronomy and Theoretical Physics, Lund University, SE-223 62 Lund, Sweden 2 Nuclear Physics Institute ASCR 250 68 Rez/Prague,ˇ Czech Republic; [email protected] * Correspondence: [email protected] Abstract: In this review, we present an up-to-date phenomenological summary of research developments in the physics of the Quark–Gluon Plasma (QGP). A short historical perspective and theoretical motivation for this rapidly developing field of contemporary particle physics is provided. In addition, we introduce and discuss the role of the quantum chromodynamics (QCD) ground state, non-perturbative and lattice QCD results on the QGP properties, as well as the transport models used to make a connection between theory and experiment. The experimental part presents the selected results on bulk observables, hard and penetrating probes obtained in the ultra-relativistic heavy-ion experiments carried out at the Brookhaven National Laboratory Relativistic Heavy Ion Collider (BNL RHIC) and CERN Super Proton Synchrotron (SPS) and Large Hadron Collider (LHC) accelerators. We also give a brief overview of new developments related to the ongoing searches of the QCD critical point and to the collectivity in small (p + p and p + A) systems. Keywords: extreme states of matter; heavy ion collisions; QCD critical point; quark–gluon plasma; saturation phenomena; QCD vacuum PACS: 25.75.-q, 12.38.Mh, 25.75.Nq, 21.65.Qr 1. Introduction Quark–gluon plasma (QGP) is a new state of nuclear matter existing at extremely high temperatures and densities when composite states called hadrons (protons, neutrons, pions, etc.) lose their identity and dissolve into a soup of their constituents—quarks and gluons. -
Ionization Phenomena in a Gas-Particle Plasma
Reprinted from Printed in V.SA. THE PHYSICS OF FLUIDS VOLUME 9. NUMBER 12 DECEMBER 1966 Ionization Phenomena in a Gas-Particle Plasma EDWARD G. GIBSON* Daniel and Florence Guggenheim Jet Propulsion Center, California Institute of Technology, Pasadena, California (Received 15 December 1965; final manuscript received 1 September 1966) Particles in a plasma can appreciably change the electron density from the value it would assume if the particles were not present. The case of pure particle ionization, in which there is only thermionic emission from the particles and no gas ionization, is first considered. It is established that the potent ial and the charge distributions can be divided into a strong shielding regime, in which most of the free electrons are packed close to the particle surfaces in regions of high potential, and its direct opposite, a weak shielding regime. In both regimes, the free-electron content of the plasma is most readily altered by variations in the particle size, rather than in the work function or particle temper ature. The suppression of one form of ionization by the other when both particle and gas contribution to the electron density are comparable is next investigated. In the case of gaseous ionization enhance ment it is ShOWIl that, if the thermionically emitting particles are hotter than the gas, the electron temperature will also be higher than that of the gas and the gaseous ionization thereby enhanced. Lastly, it is ShOWIl that in some transient situations, the particles are able to control the time rate of change of the electron density. I.