3.20 Exam 1 Fall 2003 SOLUTIONS
|
|
- Godwin McKinney
- 5 years ago
- Views:
Transcription
1 3.0 Exam 1 Fall 003 SOLUIONS Question 1 You need to decide whether to work at constant volume or constant pressure. Since F is given, a natural choice is constant volume. Option 1: At constant and V : df = Sd P dv + HdM H is a derived quantity in the Helmholtz free energy representation of this magnetic system and we therefore have: ( F H M,V Given that the Helmholtz free energy of this system is expressed as: We finally have: ( M 1 F = A µ A ( M 1 H = µ µ Option : If you chose to work at constant pressure instead, you need to start with the Gibbs free energy: At constant and P : G = U S + P V dg = Sd + V dp + HdM Again, H in this a derived quantity in the Gibbs free energy representation for this magnetic system and we have: ( G H M,P Using the definition of the Gibbs free energy, we have: ( M 1 G = F + P V = A µ + P V and finally we have: A ( M 1 ( V H = µ µ + P M,P
2 Note that H(M obtained from F agrees with H(M obtained from G when V is constant, since the term ( V disappears. M
3 Question a Under constant P and conditions, the relevant potential for this system is the Gibbs free energy: dg = Sd + V dp Since ( G = V and V α < V β, the free energy of the β phase can be lowered relative to that of α by applying pressure. b he change in the Gibbs free of transformation α β is given by: ( β ΔG α ( ΔH 1 0 At constant temperature, the change in the Gibbs free energy of transformation with pressure is given by: β G ΔG α β = V = ΔV α o find the work absorbed from the environment, it is necessary first to find the transition pressure, P, at 300 K: ΔG (P, 300K = ΔG (1, 300K + P ΔV α β Since, at the transition pressure, P, and temperature (300 K, G α β = 0, ΔG (1, 300K P = ΔV α β he amount of work absorbed by the environment is given by: W ork = P dv = P ΔV α β =ΔG (1, 300K At 300K, ( ( 300 ΔG (1, 300K = ΔH 1 = 1000 J ( / 0 mol W ork = 143 J / mol
4 c In this case, the system undergoes a phase transition at constant pressure and entropy. he relevant potential is H, enthalpy. It is necessary, as before, to find the pressure at which the transition occurs, under this adiabatic condition. he equilibrium condition in this case is given by: H α (S, P = H β (S, P Need to find P for which H(P = 0 ( ΔH = ΔV P = S ΔH (P = 1 ΔV he work absorbed by the environment is then given by: W ork = P dv = P ΔV α β =ΔH (1 = 1kJ/mol
5 Question 3 a In this problem, given a fundamental equation of the internal energy of a system as a function of extensive properties, you were asked to find the three relevant equations of state, in this case,, P and µ. From the expression for the first law: and using du = ds P dv + µdn AS 3 U = N V he three equations of state are: U 3AS = S N V V,N U AS 3 P = V N V S,N U AS 3 µ = N S,V N V b In order to prove that the equations of state obtained in part a are intensive properties, i.e. their value does not depend on the size of the system, we need to prove the following: Y (λs, λv, λn = Y (S, V, N where Y is an intensive property of a thermodynamic system or an equation of state from the internal energy representation of the first law. For this particular problem, 3A (λs λ 3AS 3AS = = = (λn (λv λ N V N V A (λs 3 λ 3 AS 3 AS 3 P = = = (λn (λv λ3 N V N V A (λs 3 λ 3 AS 3 AS 3 µ = = = (λn (λv λ3 N V N V
6 Question 4 Note that the heat capacity for this system is neither C P nor C V since the volume and pressure inside the bubble are not constant upon heating. Heat capacities, in general, are defined by C = ( S. In this problem, it is necessary to find the condition that remains constant and which is not V or P. For a simple system, it is possible to express the change in entropy as a function of (, P : ds = ( S d + ( S dp P It is possible to take the partial derivative of the above expression, with constant : ( ( ( ( S S S = + P Note that this looks like the Zemansky Rule. ( ( S C = C P + o find C as a function of known properties of the system, it is necessary to manipulate the expression above. We start by using a Maxwell Relation to find (considering an ideal gas: Need to find (. ( ( S V nr = = P P ( C = C P V ( P = ( o find d, we use the condition for mechanical equilibrium between the gas inside the bubble and the environment: ( P i = P o + r dp i dr = 0 r 4 V = πr 3 dv = 4πr dr 3
7 ( For an ideal gas, σ dv dp = 0 3 r V ( P ( V ( V 0 3rV P 3rV P = ( ( V = ( 1 V 3rV 3rV he specific heat is given by: 1 ( V NR 1 = = V P P V 1 ( V NR 1 1 ( V NR = = = V P P V V P P V ( + 3r = 1 3rP 1 = P We then have: 3r C = C P V = C P V 1 3rP 3rP 1 P If we use P = P o + r, we finally have: P V nr C = C P 1 = C 3rP P 3rP 1 nr C = C P 3rPo + Note that, when σ = 0, C = C P.
8 Question 5 a he only way to transfer heat from high temperature to low temperature is by an irreversible process: INCORREC It is possible to to transfer heat reversibly from a high temperature thermal reservoir to a low temperature thermal reservoir. An example: he Carnot Cycle. he first three stages of this cycle are: 1. Isothermal Expansion: Heat is withdrawn from hot region to intermediate system, or working fluid, at the same temperature.. Adiabatic Expansion: he system decreases its temperature at constant entropy. 3. Isothermal Compression:he system is isothermally compressed while in contact with the cold reservoir. he heat taken from the hot region is transferred to the cold region in this step. b If the thermal expansion is negative, the constant pressure heat capacity is smaller than the constant volume heat capacity INCORREC Using mathematical manipulations and Maxwell Relations, we have: V α C P C V = β he difference between C P and C V is always positive. c Enthalpy is a conserved quantity INCORREC An example of this is when work is converted to heat. hink of the stirring of a liquid. When a liquid is stirred, its temperature raises, increasing its enthalpy. In this case, there are no obvious sources of enthalpy. d In an adiabatic expansion of a material the temperature always goes down INCORREC hink of the adiabatic free expansion of an ideal gas. In this case, since the energy of the system remains constant, there cannot be a change in its temperature. In a general case, it is possible to show that: ( S ( V V = ( S = = V C V S V α C V β
9 d = α dv C V β Note that the change in temperature, d depends on the sign of α, for any given change in volume, dv. e he entropy of a system can decrease CORREC An example of this is solidification. In this case, the system reduces its entropy when it transforms to the solid phase. he environment, however, increases its entropy due to the removal of heat from the solidifying system.
NAME and Section No. b). A refrigerator is a Carnot cycle run backwards. That is, heat is now withdrawn from the cold reservoir at T cold
Chemistry 391 Fall 007 Exam II KEY 1. (30 Points) ***Do 5 out of 7***(If 6 or 7 are done only the first 5 will be graded)*** a). How does the efficiency of a reversible engine compare with that of an irreversible
More informationarxiv:physics/ v4 [physics.class-ph] 27 Mar 2006
arxiv:physics/0601173v4 [physics.class-ph] 27 Mar 2006 Efficiency of Carnot Cycle with Arbitrary Gas Equation of State 1. Introduction. Paulus C. jiang 1 and Sylvia H. Sutanto 2 Department of Physics,
More informationOutline Review Example Problem 1. Thermodynamics. Review and Example Problems: Part-2. X Bai. SDSMT, Physics. Fall 2014
Review and Example Problems: Part- SDSMT, Physics Fall 014 1 Review Example Problem 1 Exponents of phase transformation : contents 1 Basic Concepts: Temperature, Work, Energy, Thermal systems, Ideal Gas,
More informationOutline Review Example Problem 1 Example Problem 2. Thermodynamics. Review and Example Problems. X Bai. SDSMT, Physics. Fall 2013
Review and Example Problems SDSMT, Physics Fall 013 1 Review Example Problem 1 Exponents of phase transformation 3 Example Problem Application of Thermodynamic Identity : contents 1 Basic Concepts: Temperature,
More informationThermodynamic Third class Dr. Arkan J. Hadi
5.5 ENTROPY CHANGES OF AN IDEAL GAS For one mole or a unit mass of fluid undergoing a mechanically reversible process in a closed system, the first law, Eq. (2.8), becomes: Differentiation of the defining
More informationChapter 3. Property Relations The essence of macroscopic thermodynamics Dependence of U, H, S, G, and F on T, P, V, etc.
Chapter 3 Property Relations The essence of macroscopic thermodynamics Dependence of U, H, S, G, and F on T, P, V, etc. Concepts Energy functions F and G Chemical potential, µ Partial Molar properties
More informationName: Discussion Section:
CBE 141: Chemical Engineering Thermodynamics, Spring 2017, UC Berkeley Midterm 2 FORM B March 23, 2017 Time: 80 minutes, closed-book and closed-notes, one-sided 8 ½ x 11 equation sheet allowed lease show
More informationHomework Problem Set 8 Solutions
Chemistry 360 Dr. Jean M. Standard Homework roblem Set 8 Solutions. Starting from G = H S, derive the fundamental equation for G. o begin, we take the differential of G, dg = dh d( S) = dh ds Sd. Next,
More informationIdentify the intensive quantities from the following: (a) enthalpy (b) volume (c) refractive index (d) none of these
Q 1. Q 2. Q 3. Q 4. Q 5. Q 6. Q 7. The incorrect option in the following table is: H S Nature of reaction (a) negative positive spontaneous at all temperatures (b) positive negative non-spontaneous regardless
More information2. Under conditions of constant pressure and entropy, what thermodynamic state function reaches an extremum? i
1. (20 oints) For each statement or question in the left column, find the appropriate response in the right column and place the letter of the response in the blank line provided in the left column. 1.
More informationChemistry. Lecture 10 Maxwell Relations. NC State University
Chemistry Lecture 10 Maxwell Relations NC State University Thermodynamic state functions expressed in differential form We have seen that the internal energy is conserved and depends on mechanical (dw)
More informationI.G Approach to Equilibrium and Thermodynamic Potentials
I.G Approach to Equilibrium and Thermodynamic Potentials Evolution of non-equilibrium systems towards equilibrium is governed by the second law of thermodynamics. For eample, in the previous section we
More informationThe Second Law of Thermodynamics (Chapter 4)
The Second Law of Thermodynamics (Chapter 4) First Law: Energy of universe is constant: ΔE system = - ΔE surroundings Second Law: New variable, S, entropy. Changes in S, ΔS, tell us which processes made
More informationPHYSICS 214A Midterm Exam February 10, 2009
Clearly Print LAS NAME: FIRS NAME: SIGNAURE: I.D. # PHYSICS 2A Midterm Exam February 0, 2009. Do not open the exam until instructed to do so. 2. Write your answers in the spaces provided for each part
More informationSummarizing, Key Point: An irreversible process is either spontaneous (ΔS universe > 0) or does not occur (ΔS universe < 0)
Summarizing, Key Point: An irreversible process is either spontaneous (ΔS universe > 0) or does not occur (ΔS universe < 0) Key Point: ΔS universe allows us to distinguish between reversible and irreversible
More informationPhysics 360 Review 3
Physics 360 Review 3 The test will be similar to the second test in that calculators will not be allowed and that the Unit #2 material will be divided into three different parts. There will be one problem
More informationPhysics 408 Final Exam
Physics 408 Final Exam Name You are graded on your work (with partial credit where it is deserved) so please do not just write down answers with no explanation (or skip important steps)! Please give clear,
More informationThermodynamics of phase transitions
Thermodynamics of phase transitions Katarzyna Sznajd-Weron Department of Theoretical of Physics Wroc law University of Science and Technology, Poland March 12, 2017 Katarzyna Sznajd-Weron (WUST) Thermodynamics
More informationChapter 6. Phase transitions. 6.1 Concept of phase
Chapter 6 hase transitions 6.1 Concept of phase hases are states of matter characterized by distinct macroscopic properties. ypical phases we will discuss in this chapter are liquid, solid and gas. Other
More informationReversibility. Processes in nature are always irreversible: far from equilibrium
Reversibility Processes in nature are always irreversible: far from equilibrium Reversible process: idealized process infinitely close to thermodynamic equilibrium (quasi-equilibrium) Necessary conditions
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 informationI.G Approach to Equilibrium and Thermodynamic Potentials
I.G Approach to Equilibrium and Thermodynamic otentials Evolution of non-equilibrium systems towards equilibrium is governed by the second law of thermodynamics. For eample, in the previous section we
More informationDistinguish between an isothermal process and an adiabatic process as applied to an ideal gas (2)
1. This question is about thermodynamic processes. (a) Distinguish between an isothermal process and an adiabatic process as applied to an ideal gas.......... An ideal gas is held in a container by a moveable
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 informationChapter 3. Entropy, temperature, and the microcanonical partition function: how to calculate results with statistical mechanics.
Chapter 3. Entropy, temperature, and the microcanonical partition function: how to calculate results with statistical mechanics. The goal of equilibrium statistical mechanics is to calculate the density
More informationPHY214 Thermal & Kinetic Physics Duration: 2 hours 30 minutes
BSc Examination by course unit. Friday 5th May 01 10:00 1:30 PHY14 Thermal & Kinetic Physics Duration: hours 30 minutes YOU ARE NOT PERMITTED TO READ THE CONTENTS OF THIS QUESTION PAPER UNTIL INSTRUCTED
More informationUNIVERSITY OF SOUTHAMPTON
UNIVERSIY OF SOUHAMPON PHYS1013W1 SEMESER 2 EXAMINAION 2013-2014 Energy and Matter Duration: 120 MINS (2 hours) his paper contains 9 questions. Answers to Section A and Section B must be in separate answer
More informationLecture. Polymer Thermodynamics 0331 L First and Second Law of Thermodynamics
1 Prof. Dr. rer. nat. habil. S. Enders Faculty III for Process Science Institute of Chemical Engineering Department of hermodynamics Lecture Polymer hermodynamics 0331 L 337 2.1. First Law of hermodynamics
More informationFor more info visit
Basic Terminology: Terms System Open System Closed System Isolated system Surroundings Boundary State variables State Functions Intensive properties Extensive properties Process Isothermal process Isobaric
More informationChap. 3. The Second Law. Law of Spontaneity, world gets more random
Chap. 3. The Second Law Law of Spontaneity, world gets more random Kelvin - No process can transform heat completely into work Chap. 3. The Second Law Law of Spontaneity, world gets more random Kelvin
More informationName: Discussion Section:
CBE 141: Chemical Engineering Thermodynamics, Spring 2017, UC Berkeley Midterm 2 FORM A March 23, 2017 Time: 80 minutes, closed-book and closed-notes, one-sided 8 ½ x 11 equation sheet allowed Please show
More informationChapter 3. The Second Law Fall Semester Physical Chemistry 1 (CHM2201)
Chapter 3. The Second Law 2011 Fall Semester Physical Chemistry 1 (CHM2201) Contents The direction of spontaneous change 3.1 The dispersal of energy 3.2 The entropy 3.3 Entropy changes accompanying specific
More informationAtkins / Paula Physical Chemistry, 8th Edition. Chapter 3. The Second Law
Atkins / Paula Physical Chemistry, 8th Edition Chapter 3. The Second Law The direction of spontaneous change 3.1 The dispersal of energy 3.2 Entropy 3.3 Entropy changes accompanying specific processes
More informationUNIVERSITY OF SOUTHAMPTON
UNIVERSITY OF SOUTHAMPTON PHYS1013W1 SEMESTER 2 EXAMINATION 2014-2015 ENERGY AND MATTER Duration: 120 MINS (2 hours) This paper contains 8 questions. Answers to Section A and Section B must be in separate
More informationChapter 16 The Second Law of Thermodynamics
Chapter 16 The Second Law of Thermodynamics To examine the directions of thermodynamic processes. To study heat engines. To understand internal combustion engines and refrigerators. To learn and apply
More informationThermodynamics. AP Physics B
Thermodynamics AP Physics B Important Distinctions Thermodynamics study of processes in which energy is transferred as heat and work. There is a difference between heat and work: Heat is energy transferred
More informationThermodynamic equilibrium
Statistical Mechanics Phys504 Fall 2006 Lecture #3 Anthony J. Leggett Department of Physics, UIUC Thermodynamic equilibrium Let s consider a situation where the Universe, i.e. system plus its environment
More informationWhat is thermodynamics? and what can it do for us?
What is thermodynamics? and what can it do for us? The overall goal of thermodynamics is to describe what happens to a system (anything of interest) when we change the variables that characterized the
More informationTHERMODYNAMICS. Topic: 4 Spontaneous processes and criteria for spontaneity, entropy as a state function. VERY SHORT ANSWER QUESTIONS
THERMODYNAMICS Topic: 4 Spontaneous processes and criteria for spontaneity, entropy as a state function. VERY SHORT ANSWER QUESTIONS 1. State Hess s law? Ans. Hess s law: The total heat change in a reaction
More informationPhysical Biochemistry. Kwan Hee Lee, Ph.D. Handong Global University
Physical Biochemistry Kwan Hee Lee, Ph.D. Handong Global University Week 3 CHAPTER 2 The Second Law: Entropy of the Universe increases What is entropy Definition: measure of disorder The greater the disorder,
More information8.044 Lecture Notes Chapter 5: Thermodynamcs, Part 2
8.044 Lecture Notes Chapter 5: hermodynamcs, Part 2 Lecturer: McGreevy 5.1 Entropy is a state function............................ 5-2 5.2 Efficiency of heat engines............................. 5-6 5.3
More informationPhysics 202 Homework 5
Physics 202 Homework 5 Apr 29, 2013 1. A nuclear-fueled electric power plant utilizes a so-called boiling water reac- 5.8 C tor. In this type of reactor, nuclear energy causes water under pressure to boil
More informationLast Name or Student ID
10/06/08, Chem433 Exam # 1 Last Name or Student ID 1. (3 pts) 2. (3 pts) 3. (3 pts) 4. (2 pts) 5. (2 pts) 6. (2 pts) 7. (2 pts) 8. (2 pts) 9. (6 pts) 10. (5 pts) 11. (6 pts) 12. (12 pts) 13. (22 pts) 14.
More informationMME 2010 METALLURGICAL THERMODYNAMICS II. Fundamentals of Thermodynamics for Systems of Constant Composition
MME 2010 METALLURGICAL THERMODYNAMICS II Fundamentals of Thermodynamics for Systems of Constant Composition Thermodynamics addresses two types of problems: 1- Computation of energy difference between two
More informationHOMOGENEOUS CLOSED SYSTEM
CHAE II A closed system is one that does not exchange matter with its surroundings, although it may exchange energy. W n in = 0 HOMOGENEOUS CLOSED SYSEM System n out = 0 Q dn i = 0 (2.1) i = 1, 2, 3,...
More informationPractice Examinations Chem 393 Fall 2005 Time 1 hr 15 min for each set.
Practice Examinations Chem 393 Fall 2005 Time 1 hr 15 min for each set. The symbols used here are as discussed in the class. Use scratch paper as needed. Do not give more than one answer for any question.
More informationChemistry 452 July 23, Enter answers in a Blue Book Examination
Chemistry 45 July 3, 014 Enter answers in a Blue Book Examination Midterm Useful Constants: 1 Newton=1 N= 1 kg m s 1 Joule=1J=1 N m=1 kg m /s 1 Pascal=1Pa=1N m 1atm=10135 Pa 1 bar=10 5 Pa 1L=0.001m 3 Universal
More informationHomework Week 8 G = H T S. Given that G = H T S, using the first and second laws we can write,
Statistical Molecular hermodynamics University of Minnesota Homework Week 8 1. By comparing the formal derivative of G with the derivative obtained taking account of the first and second laws, use Maxwell
More informationIntroduction. Statistical physics: microscopic foundation of thermodynamics degrees of freedom 2 3 state variables!
Introduction Thermodynamics: phenomenological description of equilibrium bulk properties of matter in terms of only a few state variables and thermodynamical laws. Statistical physics: microscopic foundation
More information...Thermodynamics. Entropy: The state function for the Second Law. Entropy ds = d Q. Central Equation du = TdS PdV
...Thermodynamics Entropy: The state function for the Second Law Entropy ds = d Q T Central Equation du = TdS PdV Ideal gas entropy s = c v ln T /T 0 + R ln v/v 0 Boltzmann entropy S = klogw Statistical
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY SPRING 2007
MASSACHUSETTS INSTITUTE OF TECHNOLOGY SPRING 007 5.9 Energy Environment and Society (a Project Based First Year Subject supported by the d'arbeloff Program) ---------------------------------------------------------------------------------------
More informationThermodynamics. Basic concepts. Thermal equilibrium and temperature
hermodynamics Basic concepts hermodynamics is a phenomenological description of macroscopic systems with many degrees of freedom. Its microscopic justication is provided by statistical mechanics. Equilibrium
More informationChapter 12. The Laws of Thermodynamics. First Law of Thermodynamics
Chapter 12 The Laws of Thermodynamics First Law of Thermodynamics The First Law of Thermodynamics tells us that the internal energy of a system can be increased by Adding energy to the system Doing work
More informationLecture 2.7 Entropy and the Second law of Thermodynamics During last several lectures we have been talking about different thermodynamic processes.
ecture 2.7 Entropy and the Second law of hermodynamics During last several lectures we have been talking about different thermodynamic processes. In particular, we have discussed heat transfer between
More informationProperties of Entropy
Properties of Entropy Due to its additivity, entropy is a homogeneous function of the extensive coordinates of the system: S(λU, λv, λn 1,, λn m ) = λ S (U, V, N 1,, N m ) This means we can write the entropy
More informationChapter 6 Thermodynamic Properties of Fluids
Chapter 6 Thermodynamic Properties of Fluids Initial purpose in this chapter is to develop from the first and second laws the fundamental property relations which underlie the mathematical structure of
More information1. Second Law of Thermodynamics
1. Second Law of hermodynamics he first law describes how the state of a system changes in response to work it performs and heat absorbed. However, the first law cannot explain certain facts about thermal
More informationEntropy and the Second and Third Laws of Thermodynamics
CHAPTER 5 Entropy and the Second and Third Laws of Thermodynamics Key Points Entropy, S, is a state function that predicts the direction of natural, or spontaneous, change. Entropy increases for a spontaneous
More information1. Second Law of Thermodynamics
1. Second Law of hermodynamics he first law describes how the state of a system changes in response to work it performs and heat absorbed. he second law deals with direction of thermodynamic processes
More informationTHERMODYNAMICS CONTENTS
1. Introduction HERMODYNAMICS CONENS. Maxwell s thermodynamic equations.1 Derivation of Maxwell s equations 3. Function and derivative 3.1 Differentiation 4. Cyclic Rule artial Differentiation 5. State
More information10, Physical Chemistry- III (Classical Thermodynamics, Non-Equilibrium Thermodynamics, Surface chemistry, Fast kinetics)
Subect Chemistry Paper No and Title Module No and Title Module Tag 0, Physical Chemistry- III (Classical Thermodynamics, Non-Equilibrium Thermodynamics, Surface chemistry, Fast kinetics) 0, Free energy
More informationwhere R = universal gas constant R = PV/nT R = atm L mol R = atm dm 3 mol 1 K 1 R = J mol 1 K 1 (SI unit)
Ideal Gas Law PV = nrt where R = universal gas constant R = PV/nT R = 0.0821 atm L mol 1 K 1 R = 0.0821 atm dm 3 mol 1 K 1 R = 8.314 J mol 1 K 1 (SI unit) Standard molar volume = 22.4 L mol 1 at 0 C and
More informationCHEMICAL ENGINEERING THERMODYNAMICS. Andrew S. Rosen
CHEMICAL ENGINEERING THERMODYNAMICS Andrew S. Rosen SYMBOL DICTIONARY 1 TABLE OF CONTENTS Symbol Dictionary... 3 1. Measured Thermodynamic Properties and Other Basic Concepts... 5 1.1 Preliminary Concepts
More information(prev) (top) (next) (Throughout, we will assume the processes involve an ideal gas with constant n.)
1 of 9 8/22/12 9:51 PM (prev) (top) (next) Thermodynamics 1 Thermodynamic processes can be: 2 isothermal processes, ΔT = 0 (so P ~ 1 / V); isobaric processes, ΔP = 0 (so T ~ V); isovolumetric or isochoric
More information4. All questions are NOT ofequal value. Marks available for each question are shown in the examination paper.
THE UNIVERSITY OF NEW SOUTH WALES SCHOOL OF PHYSICS \1111~11\llllllllllllftllll~flrllllllllll\11111111111111111 >014407892 PHYS2060 THER1\1AL PHYSICS FINAL EXAMINATION SESSION 2 - NOVEMBER 2010 I. Time
More informationP(N,V,T) = NRT V. = P(N,V,T) dv
CHEM-443, Fall 2016, Section 010 Student Name Quiz 1 09/09/2016 Directions: Please answer each question to the best of your ability. Make sure your response is legible, precise, includes relevant dimensional
More informationThermodynamic Variables and Relations
MME 231: Lecture 10 Thermodynamic Variables and Relations A. K. M. B. Rashid Professor, Department of MME BUET, Dhaka Today s Topics Thermodynamic relations derived from the Laws of Thermodynamics Definitions
More informationPhysical Chemistry I Exam points
Chemistry 360 Fall 2018 Dr. Jean M. tandard October 17, 2018 Name Physical Chemistry I Exam 2 100 points Note: You must show your work on problems in order to receive full credit for any answers. You must
More informationAdiabats and entropy (Hiroshi Matsuoka) In this section, we will define the absolute temperature scale and entropy.
1184 Adiabats and entropy (Hiroshi Matsuoka In this section, we will define the absolute temperature scale and entropy Quasi-static adiabatic processes and adiabats Suppose that we have two equilibrium
More informationPY2005: Thermodynamics
ome Multivariate Calculus Y2005: hermodynamics Notes by Chris Blair hese notes cover the enior Freshman course given by Dr. Graham Cross in Michaelmas erm 2007, except for lecture 12 on phase changes.
More informationLecture 9. Heat engines. Pre-reading: 20.2
Lecture 9 Heat engines Pre-reading: 20.2 Review Second law when all systems taking part in a process are included, the entropy remains constant or increases. No process is possible in which the total entropy
More informationCHEMICAL THERMODYNAMICS. Nature of Energy. ΔE = q + w. w = PΔV
CHEMICAL HERMODYNAMICS Nature of Energy hermodynamics hermochemistry Energy (E) Work (w) Heat (q) Some Definitions Study the transformation of energy from one form to another during physical and chemical
More informationExisting Resources: Supplemental/reference for students with thermodynamics background and interests:
Existing Resources: Masters, G. (1991) Introduction to Environmental Engineering and Science (Prentice Hall: NJ), pages 15 29. [ Masters_1991_Energy.pdf] Supplemental/reference for students with thermodynamics
More informationThermodynamics! for Environmentology!
1 Thermodynamics! for Environmentology! Thermodynamics and kinetics of natural systems Susumu Fukatsu! Applied Quantum Physics Group! The University of Tokyo, Komaba Graduate School of Arts and Sciences
More informationw = -nrt hot ln(v 2 /V 1 ) nrt cold ln(v 1 /V 2 )[sincev/v 4 3 = V 1 /V 2 ]
Chemistry 433 Lecture 9 Entropy and the Second Law NC State University Spontaneity of Chemical Reactions One might be tempted based on the results of thermochemistry to predict that all exothermic reactions
More informationLecture Ch. 2a. Lord Kelvin (a.k.a William Thomson) James P. Joule. Other Kinds of Energy What is the difference between E and U? Exact Differentials
Lecture Ch. a Energy and heat capacity State functions or exact differentials Internal energy vs. enthalpy st Law of thermodynamics Relate heat, work, energy Heat/work cycles (and path integrals) Energy
More informationPhys Midterm. March 17
Phys 7230 Midterm March 17 Consider a spin 1/2 particle fixed in space in the presence of magnetic field H he energy E of such a system can take one of the two values given by E s = µhs, where µ is the
More informationTHERMODYNAMICS. Dr. Sapna Gupta
THERMODYNAMICS Dr. Sapna Gupta FIRST LAW OF THERMODYNAMICS Thermodynamics is the study of heat and other forms of energy involved in chemical or physical processes. First Law of Thermodynamics Energy cannot
More informationChapter Notes Subject: Chemistry Class: XI Chapter: Thermodynamics Top concepts
Chapter Notes Subject: Chemistry Class: XI Chapter: Thermodynamics Top concepts 1. The branch of science which deals with study of different forms of energy and their interconversion is called thermodynamics.
More informationSurvey of Thermodynamic Processes and First and Second Laws
Survey of Thermodynamic Processes and First and Second Laws Please select only one of the five choices, (a)-(e) for each of the 33 questions. All temperatures T are absolute temperatures. All experiments
More informationThermal and Statistical Physics
Experimental and Theoretical Physics NST Part II Thermal and Statistical Physics Supplementary Course Material E.M. Terentjev Michaelmas 2012 Contents 1 The basics of thermodynamics 1 1.1 Introduction.......................................
More informationII/IV B.Tech (Regular) DEGREE EXAMINATION. (1X12 = 12 Marks) Answer ONE question from each unit.
Page 1 of 8 Hall Ticket Number: 14CH 404 II/IV B.Tech (Regular) DEGREE EXAMINATION June, 2016 Chemical Engineering Fourth Semester Engineering Thermodynamics Time: Three Hours Maximum : 60 Marks Answer
More informationThe Euler Equation. Using the additive property of the internal energy U, we can derive a useful thermodynamic relation the Euler equation.
The Euler Equation Using the additive property of the internal energy U, we can derive a useful thermodynamic relation the Euler equation. Let us differentiate this extensivity condition with respect to
More informationThe laws of Thermodynamics. Work in thermodynamic processes
The laws of Thermodynamics ork in thermodynamic processes The work done on a gas in a cylinder is directly proportional to the force and the displacement. = F y = PA y It can be also expressed in terms
More informationCHEM 305 Solutions for assignment #4
CEM 05 Solutions for assignment #4 5. A heat engine based on a Carnot cycle does.50 kj of work per cycle and has an efficiency of 45.0%. What are q and q C for one cycle? Since the engine does work on
More informationfiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES
Content-Thermodynamics & Statistical Mechanics 1. Kinetic theory of gases..(1-13) 1.1 Basic assumption of kinetic theory 1.1.1 Pressure exerted by a gas 1.2 Gas Law for Ideal gases: 1.2.1 Boyle s Law 1.2.2
More informationI PUC CHEMISTRY CHAPTER - 06 Thermodynamics
I PUC CHEMISTRY CHAPTER - 06 Thermodynamics One mark questions 1. Define System. 2. Define surroundings. 3. What is an open system? Give one example. 4. What is closed system? Give one example. 5. What
More informationThe Limits of Efficiency. The Limits of Efficiency. The Limits of Efficiency
The Limits of Efficiency If a perfectly reversible heat engine is used to operate a perfectly reversible refrigerator, the two devices exactly cancel each other. 2017 Pearson Education, Inc. Slide 20-1
More informationPhysical Chemistry. Chapter 3 Second Law of Thermodynamic
Physical Chemistry Chapter 3 Second Law of hermodynamic by Izirwan Bin Izhab FKKSA izirwan@ump.edu.my Chapter Description Aims Develop the calculational path for property change and estimate enthalpy and
More informationPreliminary Examination - Day 2 August 16, 2013
UNL - Department of Physics and Astronomy Preliminary Examination - Day August 16, 13 This test covers the topics of Quantum Mechanics (Topic 1) and Thermodynamics and Statistical Mechanics (Topic ). Each
More informationThe Maxwell Relations
CHEM 331 Physical Chemistry Fall 2017 The Maxwell Relations We now turn to one last and very useful consequence of the thermodynamic state functions we have been considering. Each of these potentials (U,
More informationCHAPTER 3 LECTURE NOTES 3.1. The Carnot Cycle Consider the following reversible cyclic process involving one mole of an ideal gas:
CHATER 3 LECTURE NOTES 3.1. The Carnot Cycle Consider the following reversible cyclic process involving one mole of an ideal gas: Fig. 3. (a) Isothermal expansion from ( 1, 1,T h ) to (,,T h ), (b) Adiabatic
More informationLecture 7, 8 and 9 : Thermodynamic process by: Asst. lect. Karrar Al-Mansoori CONTENTS. 7) Thermodynamic process, path and cycle 2
CONTENTS Topics pages 7) Thermodynamic process, path and cycle 8) Reversibility and irreversibility 4 9) Thermodynamic processes and calculation of work 5 9.: Constant pressure process or isobaric process
More informationUNIVERSITY OF SOUTHAMPTON
UNIVERSITY OF SOUTHAMPTON PHYS1013W1 SEMESTER 2 EXAMINATION 2014-2015 ENERGY AND MATTER Duration: 120 MINS (2 hours) This paper contains 8 questions. Answers to Section A and Section B must be in separate
More informationChem 75 Winter, 2017 Practice Exam 1
This was Exam 1 last year. It is presented here with, first, just the problems and then with the problems and their solutions. YOU WILL BENEFIT MOST if you attempt first just the problems as if you were
More informationA Phase Transition in Ammonium Chloride. CHM 335 TA: David Robinson Office Hour: Wednesday, 11 am
A Phase Transition in Ammonium Chloride CHM 335 TA: David Robinson Email: Drobinson@chm.uri.edu Office Hour: Wednesday, 11 am Purpose Determine the critical exponent for the order to disorder transition
More informationCHAPTER 7 ENTROPY. Copyright Hany A. Al-Ansary and S. I. Abdel-Khalik (2014) 1
CHAPTER 7 ENTROPY S. I. Abdel-Khalik (2014) 1 ENTROPY The Clausius Inequality The Clausius inequality states that for for all cycles, reversible or irreversible, engines or refrigerators: For internally-reversible
More informationExam 2 Solutions. for a gas obeying the equation of state. Z = PV m RT = 1 + BP + CP 2,
Chemistry 360 Dr. Jean M. Standard Fall 016 Name KEY 1.) (14 points) Determine # H & % ( $ ' Exam Solutions for a gas obeying the equation of state Z = V m R = 1 + B + C, where B and C are constants. Since
More informationThermodynamics & Statistical Mechanics SCQF Level 9, U03272, PHY-3-ThermStat. Thursday 24th April, a.m p.m.
College of Science and Engineering School of Physics H T O F E E U D N I I N V E B R U S I R T Y H G Thermodynamics & Statistical Mechanics SCQF Level 9, U03272, PHY-3-ThermStat Thursday 24th April, 2008
More informationKinetic Theory continued
Chapter 12 Kinetic Theory continued 12.4 Kinetic Theory of Gases The particles are in constant, random motion, colliding with each other and with the walls of the container. Each collision changes the
More information