Unit 9B: Equilibrium, Enthalpy, and Entropy
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ENERGY, ENTROPY, and INFORMATION Jean Thoma June
ENERGY, ENTROPY, AND INFORMATION Jean Thoma June 1977 Research Memoranda are interim reports on research being conducted by the International Institute for Applied Systems Analysis, and as such receive only limited scientific review. Views or opinions contained herein do not necessarily represent those of the Institute or of the National Member Organizations supporting the Institute. PREFACE This Research Memorandum contains the work done during the stay of Professor Dr.Sc. Jean Thoma, Zug, Switzerland, at IIASA in November 1976. It is based on extensive discussions with Professor HAfele and other members of the Energy Program. Al- though the content of this report is not yet very uniform because of the different starting points on the subject under consideration, its publication is considered a necessary step in fostering the related discussion at IIASA evolving around th.e problem of energy demand. ABSTRACT Thermodynamical considerations of energy and entropy are being pursued in order to arrive at a general starting point for relating entropy, negentropy, and information. Thus one hopes to ultimately arrive at a common denominator for quanti- ties of a more general nature, including economic parameters. The report closes with the description of various heating appli- cation.~and related efficiencies. Such considerations are important in order to understand in greater depth the nature and composition of energy demand. This may be highlighted by the observation that it is, of course, not the energy that is consumed or demanded for but the informa- tion that goes along with it. TABLE 'OF 'CONTENTS Introduction ..................................... 1 2 . Various Aspects of Entropy ........................2 2.1 i he no me no logical Entropy ........................ -
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� -
Vapour Absorption Refrigeration Systems Based on Ammonia- Water Pair
Lesson 17 Vapour Absorption Refrigeration Systems Based On Ammonia- Water Pair Version 1 ME, IIT Kharagpur 1 The specific objectives of this lesson are to: 1. Introduce ammonia-water systems (Section 17.1) 2. Explain the working principle of vapour absorption refrigeration systems based on ammonia-water (Section 17.2) 3. Explain the principle of rectification column and dephlegmator (Section 17.3) 4. Present the steady flow analysis of ammonia-water systems (Section 17.4) 5. Discuss the working principle of pumpless absorption refrigeration systems (Section 17.5) 6. Discuss briefly solar energy based sorption refrigeration systems (Section 17.6) 7. Compare compression systems with absorption systems (Section 17.7) At the end of the lecture, the student should be able to: 1. Draw the schematic of a ammonia-water based vapour absorption refrigeration system and explain its working principle 2. Explain the principle of rectification column and dephlegmator using temperature-concentration diagrams 3. Carry out steady flow analysis of absorption systems based on ammonia- water 4. Explain the working principle of Platen-Munter’s system 5. List solar energy driven sorption refrigeration systems 6. Compare vapour compression systems with vapour absorption systems 17.1. Introduction Vapour absorption refrigeration system based on ammonia-water is one of the oldest refrigeration systems. As mentioned earlier, in this system ammonia is used as refrigerant and water is used as absorbent. Since the boiling point temperature difference between ammonia and water is not very high, both ammonia and water are generated from the solution in the generator. Since presence of large amount of water in refrigerant circuit is detrimental to system performance, rectification of the generated vapour is carried out using a rectification column and a dephlegmator. -
Chapter 3. Second and Third Law of Thermodynamics
Chapter 3. Second and third law of thermodynamics Important Concepts Review Entropy; Gibbs Free Energy • Entropy (S) – definitions Law of Corresponding States (ch 1 notes) • Entropy changes in reversible and Reduced pressure, temperatures, volumes irreversible processes • Entropy of mixing of ideal gases • 2nd law of thermodynamics • 3rd law of thermodynamics Math • Free energy Numerical integration by computer • Maxwell relations (Trapezoidal integration • Dependence of free energy on P, V, T https://en.wikipedia.org/wiki/Trapezoidal_rule) • Thermodynamic functions of mixtures Properties of partial differential equations • Partial molar quantities and chemical Rules for inequalities potential Major Concept Review • Adiabats vs. isotherms p1V1 p2V2 • Sign convention for work and heat w done on c=C /R vm system, q supplied to system : + p1V1 p2V2 =Cp/CV w done by system, q removed from system : c c V1T1 V2T2 - • Joule-Thomson expansion (DH=0); • State variables depend on final & initial state; not Joule-Thomson coefficient, inversion path. temperature • Reversible change occurs in series of equilibrium V states T TT V P p • Adiabatic q = 0; Isothermal DT = 0 H CP • Equations of state for enthalpy, H and internal • Formation reaction; enthalpies of energy, U reaction, Hess’s Law; other changes D rxn H iD f Hi i T D rxn H Drxn Href DrxnCpdT Tref • Calorimetry Spontaneous and Nonspontaneous Changes First Law: when one form of energy is converted to another, the total energy in universe is conserved. • Does not give any other restriction on a process • But many processes have a natural direction Examples • gas expands into a vacuum; not the reverse • can burn paper; can't unburn paper • heat never flows spontaneously from cold to hot These changes are called nonspontaneous changes. -
Chapter 8 and 9 – Energy Balances
CBE2124, Levicky Chapter 8 and 9 – Energy Balances Reference States . Recall that enthalpy and internal energy are always defined relative to a reference state (Chapter 7). When solving energy balance problems, it is therefore necessary to define a reference state for each chemical species in the energy balance (the reference state may be predefined if a tabulated set of data is used such as the steam tables). Example . Suppose water vapor at 300 oC and 5 bar is chosen as a reference state at which Hˆ is defined to be zero. Relative to this state, what is the specific enthalpy of liquid water at 75 oC and 1 bar? What is the specific internal energy of liquid water at 75 oC and 1 bar? (Use Table B. 7). Calculating changes in enthalpy and internal energy. Hˆ and Uˆ are state functions , meaning that their values only depend on the state of the system, and not on the path taken to arrive at that state. IMPORTANT : Given a state A (as characterized by a set of variables such as pressure, temperature, composition) and a state B, the change in enthalpy of the system as it passes from A to B can be calculated along any path that leads from A to B, whether or not the path is the one actually followed. Example . 18 g of liquid water freezes to 18 g of ice while the temperature is held constant at 0 oC and the pressure is held constant at 1 atm. The enthalpy change for the process is measured to be ∆ Hˆ = - 6.01 kJ. -
A Simple Method to Estimate Entropy and Free Energy of Atmospheric Gases from Their Action
Article A Simple Method to Estimate Entropy and Free Energy of Atmospheric Gases from Their Action Ivan Kennedy 1,2,*, Harold Geering 2, Michael Rose 3 and Angus Crossan 2 1 Sydney Institute of Agriculture, University of Sydney, NSW 2006, Australia 2 QuickTest Technologies, PO Box 6285 North Ryde, NSW 2113, Australia; [email protected] (H.G.); [email protected] (A.C.) 3 NSW Department of Primary Industries, Wollongbar NSW 2447, Australia; [email protected] * Correspondence: [email protected]; Tel.: + 61-4-0794-9622 Received: 23 March 2019; Accepted: 26 April 2019; Published: 1 May 2019 Abstract: A convenient practical model for accurately estimating the total entropy (ΣSi) of atmospheric gases based on physical action is proposed. This realistic approach is fully consistent with statistical mechanics, but reinterprets its partition functions as measures of translational, rotational, and vibrational action or quantum states, to estimate the entropy. With all kinds of molecular action expressed as logarithmic functions, the total heat required for warming a chemical system from 0 K (ΣSiT) to a given temperature and pressure can be computed, yielding results identical with published experimental third law values of entropy. All thermodynamic properties of gases including entropy, enthalpy, Gibbs energy, and Helmholtz energy are directly estimated using simple algorithms based on simple molecular and physical properties, without resource to tables of standard values; both free energies are measures of quantum field states and of minimal statistical degeneracy, decreasing with temperature and declining density. We propose that this more realistic approach has heuristic value for thermodynamic computation of atmospheric profiles, based on steady state heat flows equilibrating with gravity. -
A Comparative Energy and Economic Analysis Between a Low Enthalpy Geothermal Design and Gas, Diesel and Biomass Technologies for a HVAC System Installed in an Office Building
energies Article A Comparative Energy and Economic Analysis between a Low Enthalpy Geothermal Design and Gas, Diesel and Biomass Technologies for a HVAC System Installed in an Office Building José Ignacio Villarino 1, Alberto Villarino 1,* , I. de Arteaga 2 , Roberto Quinteros 2 and Alejandro Alañón 1 1 Department of Construction and Agronomy, Construction Engineering Area, High Polytechnic School of Ávila, University of Salamanca, Hornos Caleros, 50, 05003 Ávila, Spain; [email protected] (J.I.V.); [email protected] (A.A.) 2 Facultad de Ingeniería, Escuela de Ingeniería Mecánica, Pontificia Universidad Católica de Valparaíso, Av. Los Carrera 01567, Quilpué 2430000, Chile; [email protected] (I.d.A.); [email protected] (R.Q.) * Correspondence: [email protected]; Tel.: +34-920-353-500; Fax: +34-920-353-501 Received: 3 January 2019; Accepted: 25 February 2019; Published: 6 March 2019 Abstract: This paper presents an analysis of economic and energy between a ground-coupled heat pump system and other available technologies, such as natural gas, biomass, and diesel, providing heating, ventilation, and air conditioning to an office building. All the proposed systems are capable of reaching temperatures of 22 ◦C/25 ◦C in heating and cooling modes. EnergyPlus software was used to develop a simulation model and carry out the validation process. The first objective of the paper is the validation of the numerical model developed in EnergyPlus with the experimental results collected from the monitored building to evaluate the system in other operating conditions and to compare it with other available technologies. The second aim of the study is the assessment of the position of the low enthalpy geothermal system proposed versus the rest of the systems, from energy, economic, and environmental aspects. -
A Comprehensive Review of Thermal Energy Storage
sustainability Review A Comprehensive Review of Thermal Energy Storage Ioan Sarbu * ID and Calin Sebarchievici Department of Building Services Engineering, Polytechnic University of Timisoara, Piata Victoriei, No. 2A, 300006 Timisoara, Romania; [email protected] * Correspondence: [email protected]; Tel.: +40-256-403-991; Fax: +40-256-403-987 Received: 7 December 2017; Accepted: 10 January 2018; Published: 14 January 2018 Abstract: Thermal energy storage (TES) is a technology that stocks thermal energy by heating or cooling a storage medium so that the stored energy can be used at a later time for heating and cooling applications and power generation. TES systems are used particularly in buildings and in industrial processes. This paper is focused on TES technologies that provide a way of valorizing solar heat and reducing the energy demand of buildings. The principles of several energy storage methods and calculation of storage capacities are described. Sensible heat storage technologies, including water tank, underground, and packed-bed storage methods, are briefly reviewed. Additionally, latent-heat storage systems associated with phase-change materials for use in solar heating/cooling of buildings, solar water heating, heat-pump systems, and concentrating solar power plants as well as thermo-chemical storage are discussed. Finally, cool thermal energy storage is also briefly reviewed and outstanding information on the performance and costs of TES systems are included. Keywords: storage system; phase-change materials; chemical storage; cold storage; performance 1. Introduction Recent projections predict that the primary energy consumption will rise by 48% in 2040 [1]. On the other hand, the depletion of fossil resources in addition to their negative impact on the environment has accelerated the shift toward sustainable energy sources. -
Cryogenicscryogenics Forfor Particleparticle Acceleratorsaccelerators Ph
CryogenicsCryogenics forfor particleparticle acceleratorsaccelerators Ph. Lebrun CAS Course in General Accelerator Physics Divonne-les-Bains, 23-27 February 2009 Contents • Low temperatures and liquefied gases • Cryogenics in accelerators • Properties of fluids • Heat transfer & thermal insulation • Cryogenic distribution & cooling schemes • Refrigeration & liquefaction Contents • Low temperatures and liquefied gases ••• CryogenicsCryogenicsCryogenics ininin acceleratorsacceleratorsaccelerators ••• PropertiesPropertiesProperties ofofof fluidsfluidsfluids ••• HeatHeatHeat transfertransfertransfer &&& thermalthermalthermal insulationinsulationinsulation ••• CryogenicCryogenicCryogenic distributiondistributiondistribution &&& coolingcoolingcooling schemesschemesschemes ••• RefrigerationRefrigerationRefrigeration &&& liquefactionliquefactionliquefaction • cryogenics, that branch of physics which deals with the production of very low temperatures and their effects on matter Oxford English Dictionary 2nd edition, Oxford University Press (1989) • cryogenics, the science and technology of temperatures below 120 K New International Dictionary of Refrigeration 3rd edition, IIF-IIR Paris (1975) Characteristic temperatures of cryogens Triple point Normal boiling Critical Cryogen [K] point [K] point [K] Methane 90.7 111.6 190.5 Oxygen 54.4 90.2 154.6 Argon 83.8 87.3 150.9 Nitrogen 63.1 77.3 126.2 Neon 24.6 27.1 44.4 Hydrogen 13.8 20.4 33.2 Helium 2.2 (*) 4.2 5.2 (*): λ Point Densification, liquefaction & separation of gases LNG Rocket fuels LIN & LOX 130 000 m3 LNG carrier with double hull Ariane 5 25 t LHY, 130 t LOX Air separation by cryogenic distillation Up to 4500 t/day LOX What is a low temperature? • The entropy of a thermodynamical system in a macrostate corresponding to a multiplicity W of microstates is S = kB ln W • Adding reversibly heat dQ to the system results in a change of its entropy dS with a proportionality factor T T = dQ/dS ⇒ high temperature: heating produces small entropy change ⇒ low temperature: heating produces large entropy change L. -
Thermodynamics
ME346A Introduction to Statistical Mechanics { Wei Cai { Stanford University { Win 2011 Handout 6. Thermodynamics January 26, 2011 Contents 1 Laws of thermodynamics 2 1.1 The zeroth law . .3 1.2 The first law . .4 1.3 The second law . .5 1.3.1 Efficiency of Carnot engine . .5 1.3.2 Alternative statements of the second law . .7 1.4 The third law . .8 2 Mathematics of thermodynamics 9 2.1 Equation of state . .9 2.2 Gibbs-Duhem relation . 11 2.2.1 Homogeneous function . 11 2.2.2 Virial theorem / Euler theorem . 12 2.3 Maxwell relations . 13 2.4 Legendre transform . 15 2.5 Thermodynamic potentials . 16 3 Worked examples 21 3.1 Thermodynamic potentials and Maxwell's relation . 21 3.2 Properties of ideal gas . 24 3.3 Gas expansion . 28 4 Irreversible processes 32 4.1 Entropy and irreversibility . 32 4.2 Variational statement of second law . 32 1 In the 1st lecture, we will discuss the concepts of thermodynamics, namely its 4 laws. The most important concepts are the second law and the notion of Entropy. (reading assignment: Reif x 3.10, 3.11) In the 2nd lecture, We will discuss the mathematics of thermodynamics, i.e. the machinery to make quantitative predictions. We will deal with partial derivatives and Legendre transforms. (reading assignment: Reif x 4.1-4.7, 5.1-5.12) 1 Laws of thermodynamics Thermodynamics is a branch of science connected with the nature of heat and its conver- sion to mechanical, electrical and chemical energy. (The Webster pocket dictionary defines, Thermodynamics: physics of heat.) Historically, it grew out of efforts to construct more efficient heat engines | devices for ex- tracting useful work from expanding hot gases (http://www.answers.com/thermodynamics). -
Matching Energy Consumption and Photovoltaic Production in a Retrofitted Dwelling in Subtropical Climate Without a Backup System
energies Article Matching Energy Consumption and Photovoltaic Production in a Retrofitted Dwelling in Subtropical Climate without a Backup System Sergio Gómez Melgar 1,* , Antonio Sánchez Cordero 2 , Marta Videras Rodríguez 2 and José Manuel Andújar Márquez 1 1 TEP192 Control y Robótica, Escuela Técnica Superior de Ingeniería, Universidad de Huelva, CP. 21007 Huelva, Spain; [email protected] 2 Programa de Ciencia y Tecnología Industrial y Ambiental, Escuela Técnica Superior de Ingeniería, Universidad de Huelva, CP. 21007 Huelva, Spain; [email protected] (A.S.C.); [email protected] (M.V.R.) * Correspondence: [email protected] Received: 4 October 2020; Accepted: 16 November 2020; Published: 18 November 2020 Abstract: The construction sector is a great contributor to global warming both in new and existing buildings. Minimum energy buildings (MEBs) demand as little energy as possible, with an optimized architectural design, which includes passive solutions. In addition, these buildings consume as low energy as possible introducing efficient facilities. Finally, they produce renewable energy on-site to become zero energy buildings (ZEBs) or even plus zero energy buildings (+ZEB). In this paper, a deep analysis of the energy use and renewable energy production of a social dwelling was carried out based on data measurements. Unfortunately, in residential buildings, most renewable energy production occurs at a different time than energy demand. Furthermore, energy storage batteries for these facilities are expensive and require significant maintenance. The present research proposes a strategy, which involves rescheduling energy demand by changing the habits of the occupants in terms of domestic hot water (DHW) consumption, cooking, and washing. -
Installation, Setup & Troubleshooting Supplement
EconoMi$er X F a c t o r y --- I n s t a l l e d O p t i o n Low Leak Economizer for 2 Speed SAV (Staged Air Volume) Systems Installation, Setup & Troubleshooting Supplement This document is a supplemental installation instruction for the factory-installed EconoMi$er X (low leak economizer) option. It is to be used with the base unit Installation Instructions for 48/50TC, 50TCQ, 48/50HC, and 50HCQ 2-Stage cooling units, sizes 08 – 30. Units equipped with the EconoMi$er X option are identified by an indicator in the unit's model number (see the unit's nameplate). Use Table 1 (on page 2) to identify whether or not a given unit is equipped with the factory-installed EconoMi$er X. NOTE: Read the entire instruction manual before starting the installation. TABLE OF CONTENTS SAFETY CONSIDERATIONS SAFETY CONSIDERATIONS.................... 1 Improper installation, adjustment, alteration, service, maintenance, or use can cause explosion, fire, electrical GENERAL.................................... 2 shock or other conditions which may cause personal injury Identifying Factory Option...................... 2 or property damage. Consult a qualified installer, service EconoMi$er X................................ 3 agency, or your distributor or branch for information or assistance. The qualified installer or agency must use W7220 Economizer Controller................... 3 factory--authorized kits or accessories when modifying this User Interface................................ 3 product. Refer to the individual instructions packaged with Menu Structure............................... 3 the kits or accessories when installing. Checkout Tests............................... 7 Follow all safety codes. Wear safety glasses and work gloves. Use quenching cloths for brazing operations and SETUP AND CONFIGURATION................