Design for Manufacture. 3. Thermodynamics
|
|
- Katrina Davis
- 5 years ago
- Views:
Transcription
1 Desig for Maufacture 3. hermodyamics
2 hermodyamics hermodyamics study of heat related matter i motio. Major developmets durig Egieerig thermodyamics maily cocered with work producig or utilisig i machies such as - Egies, - urbies ad - Compressors together with the workig substaces used i the machies. Workig substace fluids: capable of deformatio, eergy trasfer Air ad steam are commo workig substace Desig ad Maufacture
3 ressure F A Force per uit area. Uit: ascal (a) N / m Bar 0 5 a stadard atmosphere.035 Bar Bar si (poud force / square ich, N 0.48 poud force) si a Desig ad Maufacture
4 hase Nature of substace. Matter ca exists i three phases: solid, liquid ad gas Cycle If a substace udergoes a series of processes ad retur to its origial state, the it is said to have bee take through a cycle. Desig for Maufacture
5 rocess A substace is udergoe a process if the state is chaged by operatio carried out o it Isothermal process - Costat temperature process Isobaric process - Costat pressure process Isometric process or isochoric process - Costat volume process Adiabatic rocess No heat is trasferred, if a process happes so quickly that there is o time to trasfer heat, or the system is very well isulated from its surroudigs. olytropic process Occurs with a iterchage of both heat ad work betwee the system ad its surroudigs E.g. Noadiabatic expasio or compressio Desig for Maufacture
6 Eergy, Work ad ower Eergy - Capacity of doig work Work - A force is moved through a distace I a pisto, if pressure is costat work doe A L AL ( ) Nm (Joule) I variable pressure case work doe d L ower - Rate of doig work J/s Watt Desig for Maufacture
7 Work doe i polytropic process workdoe d C C + d ( ) + + Desig ad Maufacture
8 Heat emperature t (Celsius) (Kelvi) Q heat eergy joules/kg Specific heat capacity: heat trasfer per uit temperature: c dq dt Uit: joules/kg K (joules per kg per K) Calorific value he heat liberated by burig uit mass or volume of a fuel. e.g. petrol: 43MJ/kg
9 riciple of the thermodyamic egie Q Q-W Source Egie Sik W
10 he Coservatio of Eergy For a system Iitial Eergy + Eergy Eterig Fial Eergy +Eergy Leavig
11 hermal efficiecy η Work doe Heat received W Q Heat Egies A egie i which trasfers eergy results from differece i temperature.
12 Mechaical ower ower Work ime doe ake Uit: J/s watt Electrical ower W I Uit: J/sWatt
13 Laws of hermodyamics he zeroth Law If body A ad B are i thermal equilibrium, ad A ad C are i thermal equilibrium, the, B ad C must i thermal equilibrium. he first law WQ Meas if some work W is coverted to heat Q or some heat Q is Meas if some work W is coverted to heat Q or some heat Q is coverted to work W, WQ. It does ot mea all work ca covert to heat i a particular process.
14 he secod law Nature heat trasfer will occur dow a temperature gradiet. he third law At the absolute zero of temperature the etropy of a perfect crystal of a substace is zero.
15 Gas laws Boyle s law (66) For perfect gas C -costat emperature remais costat. or - costat (Isothermal process) Charle s Law (work by 780, Gay-Lussac 80 published) costat - costat (Isobaric process) Gay-Lussac'ss law ( Actually by Guillaume Amotos 700) costat -- costat (Isometric process)
16 Combied gas law (834 by Clapeyro, 856 by Kroig, 857 by Causius) Let c c c, c ad c 3 c 3 or c c c 3 a (costat) or Let mra, where m is the mass, R - specific gas costat (air: R87 J/kgK) mr - characteristic equatio of gas (adiabatic with surroudigs)
17 Joule s law Iteral eergy of gas is the fuctio of temperature oly ad idepedet of chages i volume ad pressure. he specific heat capacity at costat volume c v ( ) U v U mc (chage i iteral eergy) he specific heat capacity at costat t pressure c p U + ) ( ) U ( mc p
18 olytropic rocess C Whe, isothermal process; p Whe γ v c p c /, it is a adiabatic process From d / ad
19 From the gas characteristic equatio ad / / i.e.
20 Ethalpy - o describe total eergy i gas H U + U iteral eergy pressure v volume Specific Ethalpy h U/m u + v Desig for Maufacture
21 Etropy (absolute temperature) Area heat trasferred s s s(etropy) Etropy is a quatity s that associates with the temperature ad heat trasfer Qrev i the followig way: ΔQrev Δs dqrev ds or dqrev ds where Q rev - reversible heat trasfer: Q rev s s ds Etropy describes the availability of thermal eergy. A isolated system ca oly chage to states of equal or greater etropy.
Thermodynamics (Revision 1)
hermodyamics (Revisio ) hermodyamics study of heat related to matter i motio. Egieerig thermodyamics maily cocered with work producig or utilisig machies such as egies, turbies ad compressors together
More informationEngineering Thermodynamics Dr. Arif Al-Qassar
Egieerig hermodyamics Dr. Arif Al-Qassar 06-07 Defiitios Adiabatic process is a process durig which there is o heat trasfer. he word adiabatic comes from the Greek word adiabatos, which meas ot to be passed.
More informationTHERMODYNAMICS PRACTICE PROBLEMS
HERMODYNAMICS PRACICE PROBLEMS. A Carot refrigerator has a coefficiet of performace of 0. If the refrigerator s terior is to be kept at 45 C, the temperature of the refrigerator s temperature reservoir
More informationAME 513. " Lecture 3 Chemical thermodynamics I 2 nd Law
AME 513 Priciples of Combustio " Lecture 3 Chemical thermodyamics I 2 d Law Outlie" Why do we eed to ivoke chemical equilibrium? Degrees Of Reactio Freedom (DORFs) Coservatio of atoms Secod Law of Thermodyamics
More informationREVERSIBLE NON-FLOW PROCESS CONSTANT VOLUME PROCESS (ISOCHORIC PROCESS) In a constant volume process, he working substance is contained in a rigid
REVERSIBLE NON-FLOW PROCESS CONSTANT VOLUME PROCESS (ISOCHORIC PROCESS) I a ostat olume roess, he workig substae is otaied i a rigid essel, hee the boudaries of the system are immoable, so work aot be
More informationThermodynamical analysis for a variable generalized Chaplygin gas
Available olie at www.worldscietificews.com WS 66 (7) 49-6 EISS 9-9 hermodyamical aalysis for a variable geeralized haplygi gas Mauel Malaver Departmet of asic Scieces, Maritime iversity of the aribbea,
More informationSimilarity between quantum mechanics and thermodynamics: Entropy, temperature, and Carnot cycle
Similarity betwee quatum mechaics ad thermodyamics: Etropy, temperature, ad Carot cycle Sumiyoshi Abe 1,,3 ad Shiji Okuyama 1 1 Departmet of Physical Egieerig, Mie Uiversity, Mie 514-8507, Japa Istitut
More informationUNIT-I BASIC CONCEPTS AND FIRST LAW
hermodyamics UNI-I BASI ONEPS AND FIRS LAW hermodyamics is a brach of sciece that deals with the relatioshi betwee the heat ad mechaical eergy. hermodyamics Laws ad Alicatios hermodyamics laws are formulated
More informationWhat is Physical Chemistry. Physical Chemistry for Chemical Engineers CHEM251. Basic Characteristics of a Gas
7/6/0 hysical Chemistry for Chemical Egieers CHEM5 What is hysical Chemistry hysical Chemistry is the study of the uderlyig physical priciples that gover the properties ad behaviour of chemical systems
More informationEntropy. Introduction to Entropy: Creation of Exact Differentials from Inexact Ones
Etropy Itroductio to Etropy: Creatio of Exact Differetials from Iexact Oes -w. đw = p ex d = i d đw / = d (exact differetial) đw / is a exact differetial 2 đw / = 2 d = 2 = f(iitial & fial states) / is
More informationUNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BENG (HONS) IN MECHANICAL ENGINEERING SEMESTER 1 EXAMINATION 2016/2017
UNIVERSITY OF BOLTON TW30 SCHOOL OF ENGINEERING BENG (HONS) IN MECHANICAL ENGINEERING SEMESTER EXAMINATION 06/07 ADVANCED THERMOFLUIDS & CONTROL SYSTEMS MODULE NO: AME6005 Date: Thursday Jauary 07 Time:
More information5.1 Energy Changes in Chemical and Nuclear Reactions
Figure 1 Our use of fossil fuels is usustaiable. New sources of gree, sustaiable eergy are eeded to meet the world s growig demad. 5.1 Eergy Chages i Chemical ad Nuclear Reactios Our ability to haress
More informationNATIONAL UNIVERSITY OF SINGAPORE
NATIONAL UNIVERSITY OF SINGAPORE PC4 Physics II (Semester I: AY 008-09, 6 November) Time Allowed: Hours INSTRUCTIONS TO CANDIDATES This examiatio paper comprises EIGHT (8) prited pages with FIVE (5) short
More informationREGRESSION (Physics 1210 Notes, Partial Modified Appendix A)
REGRESSION (Physics 0 Notes, Partial Modified Appedix A) HOW TO PERFORM A LINEAR REGRESSION Cosider the followig data poits ad their graph (Table I ad Figure ): X Y 0 3 5 3 7 4 9 5 Table : Example Data
More informationSPEC/4/PHYSI/SPM/ENG/TZ0/XX PHYSICS PAPER 1 SPECIMEN PAPER. 45 minutes INSTRUCTIONS TO CANDIDATES
SPEC/4/PHYSI/SPM/ENG/TZ0/XX PHYSICS STANDARD LEVEL PAPER 1 SPECIMEN PAPER 45 miutes INSTRUCTIONS TO CANDIDATES Do ot ope this examiatio paper util istructed to do so. Aswer all the questios. For each questio,
More informationPhysics Supplement to my class. Kinetic Theory
Physics Supplemet to my class Leaers should ote that I have used symbols for geometrical figures ad abbreviatios through out the documet. Kietic Theory 1 Most Probable, Mea ad RMS Speed of Gas Molecules
More informationPHYC - 505: Statistical Mechanics Homework Assignment 4 Solutions
PHYC - 55: Statistical Mechaics Homewor Assigmet 4 Solutios Due February 5, 14 1. Cosider a ifiite classical chai of idetical masses coupled by earest eighbor sprigs with idetical sprig costats. a Write
More informationA. Much too slow. C. Basically about right. E. Much too fast
Geeral Questio 1 t this poit, we have bee i this class for about a moth. It seems like this is a good time to take stock of how the class is goig. g I promise ot to look at idividual resposes, so be cadid!
More informationChapter 14: Chemical Equilibrium
hapter 14: hemical Equilibrium 46 hapter 14: hemical Equilibrium Sectio 14.1: Itroductio to hemical Equilibrium hemical equilibrium is the state where the cocetratios of all reactats ad products remai
More informationAll Excuses must be taken to 233 Loomis before 4:15, Monday, April 30.
Miscellaeous Notes The ed is ear do t get behid. All Excuses must be take to 233 Loomis before 4:15, Moday, April 30. The PHYS 213 fial exam times are * 8-10 AM, Moday, May 7 * 8-10 AM, Tuesday, May 8
More informationP 1 V V V T V V. AP Chemistry A. Allan Chapter 5 - Gases
A Chemistry A. Alla Chapter 5 - Gases 5. ressure A. roperties of gases. Gases uiformly fill ay cotaier. Gases are easily compressed 3. Gases mix completely with ay other gas 4. Gases exert pressure o their
More informationTopic 1 2: Sequences and Series. A sequence is an ordered list of numbers, e.g. 1, 2, 4, 8, 16, or
Topic : Sequeces ad Series A sequece is a ordered list of umbers, e.g.,,, 8, 6, or,,,.... A series is a sum of the terms of a sequece, e.g. + + + 8 + 6 + or... Sigma Notatio b The otatio f ( k) is shorthad
More information--Lord Kelvin, May 3rd, 1883
Whe you ca measure what you are speakig about ad express it i umbers, you kow somethig about it; but whe you caot measure it, whe you caot express it i umbers, you kowledge is of a meager ad usatisfactory
More informationLinear Programming and the Simplex Method
Liear Programmig ad the Simplex ethod Abstract This article is a itroductio to Liear Programmig ad usig Simplex method for solvig LP problems i primal form. What is Liear Programmig? Liear Programmig is
More informationChapter 5 Gases A Summary
Chapter 5 Gases A Summary 5. ressure A. roperties of gases. Gases uiformly fill ay cotaier. Gases are easily compressed 3. Gases mix completely with ay other gas 4. Gases exert pressure o their surroudigs
More informationWORKING WITH NUMBERS
1 WORKING WITH NUMBERS WHAT YOU NEED TO KNOW The defiitio of the differet umber sets: is the set of atural umbers {0, 1,, 3, }. is the set of itegers {, 3,, 1, 0, 1,, 3, }; + is the set of positive itegers;
More informationChapter 2 Exercise 2A
Chapter Eercise A Q. 1. (i) u 0, v 10, t 5, a? 10 0 + 5a a m/s (ii) u 0, a, t 5, s? s ut + at s (0)(5) + ()(5) 5 m Q.. (i) u 0, v 4, a 3, t? 4 0 + 3t t 8 s (ii) u 0, a 3, t 8, s? s ut + at s (0)(8) + (3)(64)
More informationTrue Nature of Potential Energy of a Hydrogen Atom
True Nature of Potetial Eergy of a Hydroge Atom Koshu Suto Key words: Bohr Radius, Potetial Eergy, Rest Mass Eergy, Classical Electro Radius PACS codes: 365Sq, 365-w, 33+p Abstract I cosiderig the potetial
More information1. Collision Theory 2. Activation Energy 3. Potential Energy Diagrams
Chemistry 12 Reactio Kietics II Name: Date: Block: 1. Collisio Theory 2. Activatio Eergy 3. Potetial Eergy Diagrams Collisio Theory (Kietic Molecular Theory) I order for two molecules to react, they must
More informationDifferential Equations of Gas-Phase Chemical Kinetics
Differetial Equatios of Gas-Phase Chemical Kietics Chemked A Program for Chemical Kietics of Gas-Phase Reactios M. Jeleziak ad I. Jeleziak Home page: http://www.chemked.com/, email: ifo@chemked.com 02
More informationPerformance of Stirling Engines * (Arranging Method of Experimental Results and Performance Prediction) Abstract. 1. Introduction
1 Performace of Stirlig Egies (Arragig Method of Experimetal Results ad Performace Predictio) Shoichi IWAMOTO Koichi HIRATA ad Fujio TODA Key Words: Stirlig Egie, Heat Exchager, Frictio, Egie Desig, Mechaical
More informationEXAM-3 MATH 261: Elementary Differential Equations MATH 261 FALL 2006 EXAMINATION COVER PAGE Professor Moseley
EXAM-3 MATH 261: Elemetary Differetial Equatios MATH 261 FALL 2006 EXAMINATION COVER PAGE Professor Moseley PRINT NAME ( ) Last Name, First Name MI (What you wish to be called) ID # EXAM DATE Friday Ocober
More informationDETERMINATION OF NATURAL FREQUENCY AND DAMPING RATIO
Hasa G Pasha DETERMINATION OF NATURAL FREQUENCY AND DAMPING RATIO OBJECTIVE Deterie the atural frequecy ad dapig ratio for a aluiu catilever bea, Calculate the aalytical value of the atural frequecy ad
More informationLecture 3. Electron and Hole Transport in Semiconductors
Lecture 3 lectro ad Hole Trasort i Semicoductors I this lecture you will lear: How electros ad holes move i semicoductors Thermal motio of electros ad holes lectric curret via lectric curret via usio Semicoductor
More informationEXPERIMENT OF SIMPLE VIBRATION
EXPERIMENT OF SIMPLE VIBRATION. PURPOSE The purpose of the experimet is to show free vibratio ad damped vibratio o a system havig oe degree of freedom ad to ivestigate the relatioship betwee the basic
More informationMechatronics. Time Response & Frequency Response 2 nd -Order Dynamic System 2-Pole, Low-Pass, Active Filter
Time Respose & Frequecy Respose d -Order Dyamic System -Pole, Low-Pass, Active Filter R 4 R 7 C 5 e i R 1 C R 3 - + R 6 - + e out Assigmet: Perform a Complete Dyamic System Ivestigatio of the Two-Pole,
More informationHigh Efficiency of Internal Combustion Engine by High Compression Ratio and Cooling Loss Reduction
No.1 High Efficiecy of Iteral Combustio Egie by High Compressio Ratio ad Coolig Loss Reductio 1 Masahiko Fujimoto Hidefumi Fujimoto Hiroyuki Yamashita Hiroyuki Yamamoto 1 Summary To improve efficiecy of
More informationERT 318 UNIT OPERATIONS
ERT 318 UNIT OPERATIONS DISTILLATION W. L. McCabe, J. C. Smith, P. Harriot, Uit Operatios of Chemical Egieerig, 7 th editio, 2005. 1 Outlie: Batch distillatio (pg. 724) Cotiuous distillatio with reflux
More informationHomework. Chap 5. Simple mixtures. Exercises: 5B.8(a), 5C.4(b), 5C.10(a), 5F.2(a)
Homework Cha 5. Simle mitures Eercises: 5.8(a), 5C.4(b), 5C.10(a), 5F.2(a) Problems: 5.5, 5.1, 5.4, 5.9, 5.10, 5C.3, 5C.4, 5C.5, 5C.6, 5C.7, 5C.8, Itegrated activities: 5.5, 5.8, 5.10, 5.11 1 Cha 5. Simle
More informationLesson 03 Heat Equation with Different BCs
PDE & Complex Variables P3- esso 3 Heat Equatio with Differet BCs ( ) Physical meaig (SJF ) et u(x, represet the temperature of a thi rod govered by the (coductio) heat equatio: u t =α u xx (3.) where
More informationNonequilibrium Excess Carriers in Semiconductors
Lecture 8 Semicoductor Physics VI Noequilibrium Excess Carriers i Semicoductors Noequilibrium coditios. Excess electros i the coductio bad ad excess holes i the valece bad Ambiolar trasort : Excess electros
More informationWe are mainly going to be concerned with power series in x, such as. (x)} converges - that is, lims N n
Review of Power Series, Power Series Solutios A power series i x - a is a ifiite series of the form c (x a) =c +c (x a)+(x a) +... We also call this a power series cetered at a. Ex. (x+) is cetered at
More informationAME 436. Energy and Propulsion. Lecture 2 Fuels, chemical thermodynamics (thru 1st Law; 2nd Law next lecture)
AME 436 Eergy ad Propulsio Lecture 2 Fuels, chemical thermodyamics (thru 1st Law; 2d Law ext lecture Outlie! Fuels - hydrocarbos, alteratives! Balacig chemical reactios! Stoichiometry! Lea & rich mixtures!
More informationRun-length & Entropy Coding. Redundancy Removal. Sampling. Quantization. Perform inverse operations at the receiver EEE
Geeral e Image Coder Structure Motio Video (s 1,s 2,t) or (s 1,s 2 ) Natural Image Samplig A form of data compressio; usually lossless, but ca be lossy Redudacy Removal Lossless compressio: predictive
More informationUse of Chemked for Simulation of Gas-Phase Chemical Reactors
Use of Chemked for Simulatio of Gas-Phase Chemical Reactors Chemked A Program for Chemical Kietics of Gas-Phase Reactios M. Jeleziak ad I. Jeleziak Home page: http://www.chemked.com/, email: ifo@chemked.com
More informationAP Calculus AB 2006 Scoring Guidelines Form B
AP Calculus AB 6 Scorig Guidelies Form B The College Board: Coectig Studets to College Success The College Board is a ot-for-profit membership associatio whose missio is to coect studets to college success
More informationPrinciple Of Superposition
ecture 5: PREIMINRY CONCEP O RUCUR NYI Priciple Of uperpositio Mathematically, the priciple of superpositio is stated as ( a ) G( a ) G( ) G a a or for a liear structural system, the respose at a give
More informationCHAPTER 8 SYSTEMS OF PARTICLES
CHAPTER 8 SYSTES OF PARTICLES CHAPTER 8 COLLISIONS 45 8. CENTER OF ASS The ceter of mass of a system of particles or a rigid body is the poit at which all of the mass are cosidered to be cocetrated there
More informationChapter 7 Vacancies 魏茂國 物理冶金
Chapter 7 acacies Thermal behaior of metals Iteral eergy Etropy Spotaeous reactios Gibbs free eergy Statistical mechaical defiitio of etropy acacies acacy motio Iterstitial atoms ad diacacies Thermal ehaior
More informationBohr s Atomic Model Quantum Mechanical Model
September 7, 0 - Summary - Itroductio to Atomic Theory Bohr s Atomic Model Quatum Mechaical Model 3- Some Defiitio 3- Projects Temperature Pressure Website Subject Areas Plasma is a Mixture of electros,
More informationEDEXCEL NATIONAL CERTIFICATE UNIT 4 MATHEMATICS FOR TECHNICIANS OUTCOME 4 - CALCULUS
EDEXCEL NATIONAL CERTIFICATE UNIT 4 MATHEMATICS FOR TECHNICIANS OUTCOME 4 - CALCULUS TUTORIAL 1 - DIFFERENTIATION Use the elemetary rules of calculus arithmetic to solve problems that ivolve differetiatio
More informationx 2 x x x x x + x x +2 x
Math 5440: Notes o particle radom walk Aaro Fogelso September 6, 005 Derivatio of the diusio equatio: Imagie that there is a distributio of particles spread alog the x-axis ad that the particles udergo
More informationAreas and Distances. We can easily find areas of certain geometric figures using well-known formulas:
Areas ad Distaces We ca easily fid areas of certai geometric figures usig well-kow formulas: However, it is t easy to fid the area of a regio with curved sides: METHOD: To evaluate the area of the regio
More information: ) 9) 6 PM, 6 PM
Physics 101 Sectio 3 Mar. 1 st : Ch. 7-9 review Ch. 10 Aoucemets: Test# (Ch. 7-9) will be at 6 PM, March 3 (6) Lockett) Study sessio Moday eveig at 6:00PM at Nicholso 130 Class Website: http://www.phys.lsu.edu/classes/sprig010/phys101-3/
More informationIntroduction to Machine Learning DIS10
CS 189 Fall 017 Itroductio to Machie Learig DIS10 1 Fu with Lagrage Multipliers (a) Miimize the fuctio such that f (x,y) = x + y x + y = 3. Solutio: The Lagragia is: L(x,y,λ) = x + y + λ(x + y 3) Takig
More informationTemperature Distribution in a Cylindrical Core and Coil Assembly with Heat Generation
Temperature Distributio i a Cylidrical Core ad Coil Assembly with Heat Geeratio P. S. Yeh, Ph.D. Abstract A residetial distributio trasformer cosists of a cylidrical steel tak ad a core-ad-coil assembly
More informationDESIGN, PRODUCTION, AND APPLICATION OF A STAND FOR TESTING FRICTION OF THE BEARINGS
Tome V (year 7), Fascicole, (ISSN 1584 665) DESIGN, PRODUCTION, AND APPLICATION OF A STAND FOR TESTING FRICTION OF THE BEARINGS Pavlia KATSAROVA, Stilia NIKOLOV, Miltso TASHEV TECHNICAL UNIVERSITY SOFIA,BRANCH
More informationFREE VIBRATION RESPONSE OF A SYSTEM WITH COULOMB DAMPING
Mechaical Vibratios FREE VIBRATION RESPONSE OF A SYSTEM WITH COULOMB DAMPING A commo dampig mechaism occurrig i machies is caused by slidig frictio or dry frictio ad is called Coulomb dampig. Coulomb dampig
More informationEton Education Centre JC 1 (2010) Consolidation quiz on Normal distribution By Wee WS (wenshih.wordpress.com) [ For SAJC group of students ]
JC (00) Cosolidatio quiz o Normal distributio By Wee WS (weshih.wordpress.com) [ For SAJC group of studets ] Sped miutes o this questio. Q [ TJC 0/JC ] Mr Fruiti is the ower of a fruit stall sellig a variety
More informationCS 270 Algorithms. Oliver Kullmann. Growth of Functions. Divide-and- Conquer Min-Max- Problem. Tutorial. Reading from CLRS for week 2
Geeral remarks Week 2 1 Divide ad First we cosider a importat tool for the aalysis of algorithms: Big-Oh. The we itroduce a importat algorithmic paradigm:. We coclude by presetig ad aalysig two examples.
More informationTIME-CORRELATION FUNCTIONS
p. 8 TIME-CORRELATION FUNCTIONS Time-correlatio fuctios are a effective way of represetig the dyamics of a system. They provide a statistical descriptio of the time-evolutio of a variable for a esemble
More informationSection 13.3 Area and the Definite Integral
Sectio 3.3 Area ad the Defiite Itegral We ca easily fid areas of certai geometric figures usig well-kow formulas: However, it is t easy to fid the area of a regio with curved sides: METHOD: To evaluate
More informationPhysics 556 Stellar Astrophysics Prof. James Buckley. Lecture 5
Physics 556 Stellar Astrophysics Prof. James Buckley Lecture 5 Thermodyamics Equatio of State of Radiatio The mometum flux ormal to a surface (mometum per uit area per uit time) is the same as the ormal
More informationSection 5.2: Calorimetry and Enthalpy Tutorial 1 Practice, page 297
Sectio 52: Calorietry ad Ethalpy Tutorial 1 Practice, page 297 1 Give: V 60 L ; T iitial 25 C ; T fial 75 C; d H2O(l) H2O(l) 100 g/l Required: theral eergy required, q Aalysis: q cδt Solutio: Step 1: Deterie
More informationCHAPTER - 12 THERMODYNAMICS
CHAPER - HERMODYNAMICS ONE MARK QUESIONS. What is hermodynamics?. Mention the Macroscopic variables to specify the thermodynamics. 3. How does thermodynamics differ from Mechanics? 4. What is thermodynamic
More informationIntroduction to Astrophysics Tutorial 2: Polytropic Models
Itroductio to Astrophysics Tutorial : Polytropic Models Iair Arcavi 1 Summary of the Equatios of Stellar Structure We have arrived at a set of dieretial equatios which ca be used to describe the structure
More informationNotes on the GSW function gsw_geostrophic_velocity (geo_strf,long,lat,p)
Notes o gsw_geostrophic_velocity Notes o the GSW fuctio gsw_geostrophic_velocity (geo_strf,log,lat,p) Notes made 7 th October 2, ad updated 8 th April 2. This fuctio gsw_geostrophic_velocity(geo_strf,log,lat,p)
More informationSECTION 2 Electrostatics
SECTION Electrostatics This sectio, based o Chapter of Griffiths, covers effects of electric fields ad forces i static (timeidepedet) situatios. The topics are: Electric field Gauss s Law Electric potetial
More informationWork, Energy, Power. n (0.S)2 I11gh E [I - (O.Sn e O.S IIIg (1113) NS JlIII2. n kx in the direction OP
TOPC 6 Work, ergy, Power 1 The door of a workig refrigerator is left ope. fter some hours, the temperature of the room i which the refrigerator is placed is uchaged, because the refrigerator absorbs as
More information7. Modern Techniques. Data Encryption Standard (DES)
7. Moder Techiques. Data Ecryptio Stadard (DES) The objective of this chapter is to illustrate the priciples of moder covetioal ecryptio. For this purpose, we focus o the most widely used covetioal ecryptio
More informationUnit 5. Gases (Answers)
Uit 5. Gases (Aswers) Upo successful completio of this uit, the studets should be able to: 5. Describe what is meat by gas pressure.. The ca had a small amout of water o the bottom to begi with. Upo heatig
More information2.004 Dynamics and Control II Spring 2008
MIT OpeCourseWare http://ocw.mit.edu 2.004 Dyamics ad Cotrol II Sprig 2008 For iformatio about citig these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. Massachusetts Istitute of Techology
More informationExercises and Problems
HW Chapter 4: Oe-Dimesioal Quatum Mechaics Coceptual Questios 4.. Five. 4.4.. is idepedet of. a b c mu ( E). a b m( ev 5 ev) c m(6 ev ev) Exercises ad Problems 4.. Model: Model the electro as a particle
More informationNernst Equation. Nernst Equation. Electric Work and Gibb's Free Energy. Skills to develop. Electric Work. Gibb's Free Energy
Nerst Equatio Skills to develop Eplai ad distiguish the cell potetial ad stadard cell potetial. Calculate cell potetials from kow coditios (Nerst Equatio). Calculate the equilibrium costat from cell potetials.
More informationLecture 9: Diffusion, Electrostatics review, and Capacitors. Context
EECS 5 Sprig 4, Lecture 9 Lecture 9: Diffusio, Electrostatics review, ad Capacitors EECS 5 Sprig 4, Lecture 9 Cotext I the last lecture, we looked at the carriers i a eutral semicoductor, ad drift currets
More informationECE 422/522 Power System Operations & Planning/Power Systems Analysis II : 6 - Small Signal Stability
ECE 4/5 Power System Operatios & Plaig/Power Systems Aalysis II : 6 - Small Sigal Stability Sprig 014 Istructor: Kai Su 1 Refereces Kudur s Chapter 1 Saadat s Chapter 11.4 EPRI Tutorial s Chapter 8 Power
More informationSOLID MECHANICS TUTORIAL BALANCING OF RECIPROCATING MACHINERY
SOLID MECHANICS TUTORIAL BALANCING OF RECIPROCATING MACHINERY This work covers elemets of the syllabus for the Egieerig Coucil Exam D5 Dyamics of Mechaical Systems. O completio of this tutorial you should
More informationChemGGuru. Questions & Answer CHEMISTRY
CAREER PIT JEE Mai lie Paper JEE Mai lie Exam 09 [Memory Based Paper] Q. Which of the followig is amphoteric i ature As. [] ` Questios & Aswer th Jauary 09 Shift - I CHEMISTRY Mg(H ( Be(H Ca(H Sr(H Q.
More informationCHM 424 EXAM 2 - COVER PAGE FALL
CHM 44 EXAM - COVER PAGE FALL 007 There are six umbered pages with five questios. Aswer the questios o the exam. Exams doe i ik are eligible for regrade, those doe i pecil will ot be regraded. coulomb
More informationLecture 8: Solving the Heat, Laplace and Wave equations using finite difference methods
Itroductory lecture otes o Partial Differetial Equatios - c Athoy Peirce. Not to be copied, used, or revised without explicit writte permissio from the copyright ower. 1 Lecture 8: Solvig the Heat, Laplace
More informationBACKMIXING IN SCREW EXTRUDERS
BACKMIXING IN SCREW EXTRUDERS Chris Rauwedaal, Rauwedaal Extrusio Egieerig, Ic. Paul Grama, The Madiso Group Abstract Mixig is a critical fuctio i most extrusio operatios. Oe of the most difficult mixig
More informationis also known as the general term of the sequence
Lesso : Sequeces ad Series Outlie Objectives: I ca determie whether a sequece has a patter. I ca determie whether a sequece ca be geeralized to fid a formula for the geeral term i the sequece. I ca determie
More informationThe axial dispersion model for tubular reactors at steady state can be described by the following equations: dc dz R n cn = 0 (1) (2) 1 d 2 c.
5.4 Applicatio of Perturbatio Methods to the Dispersio Model for Tubular Reactors The axial dispersio model for tubular reactors at steady state ca be described by the followig equatios: d c Pe dz z =
More informationThermodynamics B/C. Rank: Points: Science Olympiad North Regional Tournament at the University of Florida. Name(s): Team Name: School Name:
Thermodynamics B/C Science Olympiad North Regional Tournament at the University of Florida Rank: Points: Name(s): Team Name: School Name: Team Number: 1. True/False: Boyle s Law relates the volume to the
More informationLECTURE 14. Non-linear transverse motion. Non-linear transverse motion
LETURE 4 No-liear trasverse motio Floquet trasformatio Harmoic aalysis-oe dimesioal resoaces Two-dimesioal resoaces No-liear trasverse motio No-liear field terms i the trajectory equatio: Trajectory equatio
More information9.4.3 Fundamental Parameters. Concentration Factor. Not recommended. See Extraction factor. Decontamination Factor
9.4.3 Fudametal Parameters Cocetratio Factor Not recommeded. See Extractio factor. Decotamiatio Factor The ratio of the proportio of cotamiat to product before treatmet to the proportio after treatmet.
More informationKNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS
DOMAIN I. COMPETENCY.0 MATHEMATICS KNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS Skill. Apply ratio ad proportio to solve real-world problems. A ratio is a compariso of umbers. If a class had boys
More informationarxiv: v2 [quant-ph] 9 Mar 2009
Quatum hermodyamic Cycles ad Quatum Heat Egies II) H.. Qua heoretical Divisio, MS B1, Los Alamos Natioal Laboratory, Los Alamos, NM, 87545, U.S.A. We study the quatum mechaical geeralizatio of force or
More informationVapour pressure measuring on 1-Butanol and Ethanol
Praktikum Allgemeie Chemie (PC) Witersemester 007 Experimet Vapour Pressure Vapour pressure measurig o -Butaol ad Ethaol Iyes Descheaux D-CHAB,. emester, dyes@studet.ethz.ch aosch Ehrema D-CHAB,. emester,
More informationWeb Appendix O - Derivations of the Properties of the z Transform
M. J. Roberts - 2/18/07 Web Appedix O - Derivatios of the Properties of the z Trasform O.1 Liearity Let z = x + y where ad are costats. The ( z)= ( x + y )z = x z + y z ad the liearity property is O.2
More informationCHAPTER 2 ENERGY INTERACTION (HEAT AND WORK)
CHATER ENERGY INTERACTION (HEAT AND WORK) Energy can cross the boundary of a closed system in two ways: Heat and Work. WORK The work is done by a force as it acts upon a body moving in direction of force.
More informationAME 513. " Lecture 2 Chemical thermodynamics I 1 st Law
AME 513 Priciples of ombustio " Lecture 2 hemical thermodyamics I 1 st Law Outlie" Fuels - hydrocarbos, alteratives Balacig chemical reactios Stoichiometry Lea & rich mixtures Mass ad mole fractios hemical
More informationThe Riemann Zeta Function
Physics 6A Witer 6 The Riema Zeta Fuctio I this ote, I will sketch some of the mai properties of the Riema zeta fuctio, ζ(x). For x >, we defie ζ(x) =, x >. () x = For x, this sum diverges. However, we
More informationSECOND ENGINEER REG. III/2 APPLIED HEAT
SECOND ENGINEER REG. III/2 APPLIED HEAT LIST OF TOPICS A B C D E F G H I J K Pressure, Temperature, Energy Heat Transfer Internal Energy, Thermodynamic systems. First Law of Thermodynamics Gas Laws, Displacement
More informationPHYS 321 Solutions to Practice Final (December 2002).
PHYS Solutios to Practice Fial (December ) Two masses, m ad m are coected by a sprig of costat k, leadig to the potetial V( r) = k( r ) r a) What is the Lagragia for this system? (Assume -dimesioal motio)
More informationx a x a Lecture 2 Series (See Chapter 1 in Boas)
Lecture Series (See Chapter i Boas) A basic ad very powerful (if pedestria, recall we are lazy AD smart) way to solve ay differetial (or itegral) equatio is via a series expasio of the correspodig solutio
More informationHandout 12: Thermodynamics. Zeroth law of thermodynamics
1 Handout 12: Thermodynamics Zeroth law of thermodynamics When two objects with different temperature are brought into contact, heat flows from the hotter body to a cooler one Heat flows until the temperatures
More informationmx bx kx F t. dt IR I LI V t, Q LQ RQ V t,
Lecture 5 omplex Variables II (Applicatios i Physics) (See hapter i Boas) To see why complex variables are so useful cosider first the (liear) mechaics of a sigle particle described by Newto s equatio
More informationReview of Discrete-time Signals. ELEC 635 Prof. Siripong Potisuk
Review of Discrete-time Sigals ELEC 635 Prof. Siripog Potisuk 1 Discrete-time Sigals Discrete-time, cotiuous-valued amplitude (sampled-data sigal) Discrete-time, discrete-valued amplitude (digital sigal)
More informationSolutions to Equilibrium Practice Problems
Solutios to Equilibrium Practice Problems Chem09 Fial Booklet Problem 1. Solutio: PO 4 10 eq The expressio for K 3 5 P O 4 eq eq PO 4 10 iit 1 M I (a) Q 1 3, the reactio proceeds to the right. 5 5 P O
More information