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W. Alabama - CHE - 101
ChE 101 MID-TERM REVIEW 1. Phase diagram pure component P S L V T consider the difference between - pressure PV = n RT - vapor pressure p* Vapor pressure - Steam Tables - Clausius Clapeyron - Cox charts B * - Antoine Equation log10 p T = A - T
W. Alabama - CHE - 101
B3 Multicomponent Gas-liquid Systems (Section 6.4) Situation: all components are present both in gas and liquid phase y1 y2 . vapor Applications: x1 x2 . liquid - chemical reactions - distillation ethanol / H2O - absorption / scrubbing / stripping -
W. Alabama - CHE - 101
Enthalpy Changes of Phase Transition (8.4)Latent heatheat required to transform:- heat of vaporization - heat of fusion - heat of sublimationliquid gas solid liquid solid gas generally do not vary significantly as a function of P Tabula
W. Alabama - CHE - 101
C8. Energy Balances on reactive systems (Chapter 9) chemical reactions generally involve large energy/enthalpy changes EXOTHERMIC REACTIONS Releases energy reutilization Q<0 Sometimes needs control to avoid "Uncontrolled Reactions (Explosion, me
W. Alabama - CHE - 101
ChE 101 FINAL EXAM REVIEW 1. One Component Gas (or Vapour)/Liquid Systems Phase diagram pure component P S L V T Differentiate between Vapor pressure -Steam Tables -Clausius Clapeyron Pvap (T2 ) vap H ln = R Pvap (T1 ) 1 1 - T 1 T2
W. Alabama - CHE - 048
ChE 48 Research-Design Project 2 (W/03)Instructor: M.W. Fowler, P.Eng., DWE-2507, 888-4567 Ext. 3415, mfowler@uwaterloo.ca. Grading: Seminar As determined by faculty supervisor: o Research Abilities/ Research potential / Term Research Productivity
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 1- Formulation of Chemical Engineering Problems1. Write down the differential molar balance in vector notation and expand it in rectangular, cylindrical, and spherical coordinates. Explain the meaning of ea
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 1- Formulation of Chemical Engineering Problems1. Write down the differential molar balance in vector notation and expand it in rectangular, cylindrical, and spherical coordinates. Explain the meaning of ea
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 10 PDEs: Method of Separation of Variables1. In each of the following problems, use the method of separation of variables to solve the transient one-dimensional heat equation. a) b) c) T 1 2 T , T(0,t) =
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 2- Formulation of Chemical Engineering Problems1. Bubble columns are used for liquid aeration and gas-liquid reactions. Thus, finely suspended bubbles produce large interfacial areas for effective mass tran
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 2- Formulation of Chemical Engineering Problems1. Bubble columns are used for liquid aeration and gas-liquid reactions. Thus, finely suspended bubbles produce large interfacial areas for effective mass tran
W. Alabama - ENVE - 321
Env 321 Assignment 3 Solutions 1. A tall, cylindrical tank is being filled, from an initial empty state, by a constant inflow of q litres/second of liquid. The flat tank bottom has corroded and sustains a leak through a small hole of area A0. If the
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 4 - First Order Differential Equations 1. A tank initially contains 1.4 m3 of brine solution with a concentration of 16.0 kg/m3. A brine solution containing 48.0 kg of salt/m 3 enters the tank at a rate of 8.
W. Alabama - ENVE - 321
3.a) d2y dy -2 + 2 y = xe x 2 dx dx Solution of the homogeneous problem:2 - 2 + 2 = 0 = 1 iy c = e x ( A cos x + B sin x ) Particular solution: y p = ( a0 + a1 x )e x dy p dx dx 2 = ( a0 + a1 + a1 x )e x = ( a0 + 2a1 + a1 x )e xd 2 ypSubstitu
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 6 Non Linear Differential Equations and Systems of Linear Differential Equations1. Solve x 22d2y dy + 4x - 4y = 0 2 dx dxd2y dy 2. Solve x - 3x + 4 y = 0 . Notice that the roots are repeated. Use redu
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 7 Power Series and Method of Frobenius1. Show that the solution ofd2y dy -x + 2 y = 0 around x = 0 is given by: 2 dx dx1 1 3 53 9 y = a0 (1 - x 2 ) + a1 x - x 3 - x 5 - x 7 - x - . 3! 5! 7! 9! So
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 7 Power Series and Method of Frobenius1. Show that the solution ofd2y dy -x + 2 y = 0 around x = 0 is given by: 2 dx dx1 1 3 53 9 y = a0 (1 - x 2 ) + a1 x - x 3 - x 5 - x 7 - x - . 3! 5! 7! 9! 2.
W. Alabama - ENVE - 321
EnvE 321 ADVANCED MATHEMATICS Assignment 9 Fourier Transform 1. Expand f(x) = ex on the interval [0,1] using: a) Fourier series b) Fourier cosine series c) Fourier sine series Plot all the three expansions on the interval [-1,2]. Notice how the pre
W. Alabama - ENVE - 224
EnvE 224 TUTORIAL #7 Acid mine drainage is one of the most significant and environmentally damaging problems facing mine operators. Acid mine drainage arises when pyrite (FeS2) in waste rock is exposed to water and oxygen and oxidizes to form sulfuri
W. Alabama - ENVE - 224
EnvE 224 TUTORIAL PROBLEM #8 Animal cells such as hybridomas require complex nutrients such as amino acids in their diet. Nutritional profiling means to establish the relationship between amino acid uptake and the rate of MAb synthesis. It is believe
W. Alabama - CHE - 025
CHE025 Fluid MechanicsINSTRUCTOR: Dr. Ali Elkamel Office: DWE 2506 e-mail: aelkamel@cape.uwaterloo.ca Telephone: (519)888 4567 ext 7157 CLASS SCHEDULE Tuesdays: 9:30 10:20 a.m. DWE 2517 (L) 10:30 11:20 a.m. DWE 2517 (L) Thursdays: 11:30 a.m. 1:2
W. Alabama - CHE - 033
ChE 33 CHEMICAL ENGINEERING THERMODYNAMICS SPRING 2005 Tenth Week Tutorial (July 8th, 2005): 2 Examples1) A refrigerator uses R-134a as the working fluid and operates on an ideal vaporcompression refrigeration cycle between 0.14 MPa and 0.8 MPa. If
W. Alabama - CHE - 033
ChE 33 CHEMICAL ENGINEERING THERMODYNAMICS SPRING 2005 Eleventh Week Tutorial (July 15th, 2005): 1 Example1) Consider a steam power plant operating on the ideal regenerative Rankine cycle with one open feedwater heater. Steam enters the turbine at
W. Alabama - CHE - 033
ChE 33 CHEMICAL ENGINEERING THERMODYNAMICS SPRING 2005 Thirteenth Week Tutorial (July 29th, 2005): 1 Example1) For the methanol synthesis reaction, CO ( g ) + 2 H 2 ( g ) CH 3 OH ( g ) For a feed mixture of carbon monoxide and hydrogen in the stoi
W. Alabama - CHE - 033
ChE 33 CHEMICAL ENGINEERING THERMODYNAMICS SPRING 2005 Sixth Week Tutorial (June 10th, 2005): 2 Examples1) Smith6-38: Steam at 2700 Kpa and with a quality of 0.9 undergoes a reversible, adiabatic expansion in a nonflow process to 400 KPa. It is the
W. Alabama - CHE - 033
ChE 33 CHEMICAL ENGINEERING THERMODYNAMICS SPRING 2005 Sixth Week Tutorial (June 8th, 2005): 2 Examples1) R-12 enters the capillary tube of a refrigerator as saturated liquid at 0.8 MPa and is throttled to a pressure of 0.12 MPa. Determine the qual
W. Alabama - CHE - 033
ChE 33 CHEMICAL ENGINEERING THERMODYNAMICS SPRING 2005 Seventh Week Tutorial (June 17th, 2005): 2 Examples1) Smith 7-19: A turbine operates adiabatically with steam entering at 450 oC and 8000 KPa with a mass flow rate of 80 Kg/Sec and exhausts at
W. Alabama - CHE - 033
ChE 33 CHEMICAL ENGINEERING THERMODYNAMICS SPRING 2005 Eight Week Tutorial (June 24th, 2005): 1 Example1) Consider a steam power plant operating on the ideal Rankine cycle. Steam enters the turbine at 3 MPa and 350 oC and is condensed in the conden
W. Alabama - CHE - 562
Fermentation Engineering Instructor Eric Jervis Department of Chemical Engineering Bldg. E1, Rm. 2545 Email: ericjj@cape.uwaterloo.caCourse Scope Concepts of transport phenomena, reactor engineering, and unit operations are explored with respect to
W. Alabama - CHE - 562
Fermentation EngineeringFermentation: decomposition produced in an organic substance by the action of living organisms, such as certain bacteria and fungi (Webster's Dictionary) Fermentation Engineering:analysis, design and optimization of proces
W. Alabama - CHE - 562
Chemical Energetics All reversible reactions tend to proceed in the direction that decreases the energy of the participants. the reaction may not proceed very quickly because very few molecules overcome the energy potential barrier and make the tran
W. Alabama - CHE - 522
Lecture 10 - Design under uncertaintyclassical approach to design: so far you have learned how to: analyze or simulate a given process using a SS simulator (AspenPlus) synthesize a process (or part of a process) optimize a process both at the de
W. Alabama - CHE - 720
Optimization Toolbox Problems Covered by Large-Scale Methods Not all possible problem formulations are covered by the large-scale algorithms. The following table describes what functionality is covered by the large-scale methods. For example, for fmi
W. Alabama - ENVE - 482
Course Introduction & Overview: What is engineering?Problem Solving: fundamental activity in engineering Why this course? Enhance problem solving skills Enhance Design Engineering skills Broaden Chemical Engineering Design skills (Environmental
W. Alabama - ENVE - 482
Nature Of Process EngineeringSee notes handed out in class
W. Alabama - ENVE - 482
Writing Project ProposalsSuggestions and ExpectationsW.A. Anderson Chemical EngineeringWhy a Proposal?l Convince a "client" that:q qthe project is worth doing you're the one that should be doing itWho is the "client"?l Another company, org
W. Alabama - ENVE - 482
Sample Letter of IntentFollowing is a sample LOI, which is reasonably good. Note how it follows the "sales logic" discussed in class, i.e. it presents the problem/opportunity, discusses potential benefits to the "client", briefly describes how the p
W. Alabama - ENVE - 482
Project ProposalsWilliam Anderson U of WThinking before Writing Mainmessage(s) ? goal/objectives of the project justification benefits to the client weighed against the costsThinking . Audienceanalysis who are they technical level
W. Alabama - CHE - 720
A short Primer for Using Aspen Plus process simulation softwareThere are many subprograms within the Aspen Tech family of software tools. This short primer focuses on Aspen Plus, a process simulation tool. Many of the other tools integrate into Aspe
W. Alabama - CHE - 033
University of Waterloo Department of Chemical Engineering CHEMICAL ENGINEERING THERMODYNAMICS (ChE 033) June 13, 2005 MID-TERM EXAM INSTRUCTOR: REZA GHESHLAGHISurnameI DTHIS EXAM CONSISTS TWO PARTS: I. MULTIPLE CHOICE: 10 Questions Use of ONLY
W. Alabama - CHE - 710
Chapter 1.Introduction 1.1 Interfacial phenomena are almost everywhere - our everyday engineering activities: Interfaces between two bulk phases - biological processes: breathing, blood vessel walls, cell membranes12345 Physical Chemist
W. Alabama - CHE - 710
Chapter 2.Fundamentals: Surface Thermodynamics and Intermolecular Forces 2.1 Introduction Underlying principles of surface phenomena can be best found in surface thermodynamics: Define, relate parameters in surface physical Chemistry Macroscopic t
W. Alabama - CHE - 710
Chapter 3. Surface Films on Liquid Substrates 3.1 Introduction Two kinds of surface molecular layers: soluble surface layer (film) insoluble surface layer a) For soluble surface layer, the Gibbs adsorption equation, Eq. (18) of Chap.2 , can be used
W. Alabama - CHE - 710
Chapter 5. Molecular Kinetic Theory for Dynamic Wetting5.1 Introduction Wetting process is governed by wetting dynamics High viscosity liquids wet surfaces more slowly than low viscosity ones, but to what extent? the way in which liquid flow assists
W. Alabama - CHE - 710
FINAL CHAPTER Emulsions and Forms Both cases comprise a dispersion of one phase in another: Emulsion: both phases are liquidForm: one phase is gas - size: 0.1 m - thermodynamically unstable: changes and interfacial films Microemulsion: finer disper
W. Alabama - CHE - 101
Ch E 101 Assignment 4 solutions
W. Alabama - CHE - 101
0.35 0.3 C(gA/mL) 0.25 0.2 0.15 0.1 0.05 0 0 10 20 R 30 40 50 y = 0.0067x
W. Alabama - CHE - 033
Chemical Reaction Equilibrium v 1 A1 + v A2 + v 1 A1 + v A2 + 2 2 v i , v i v i = v - v i i : Stoichiometric Coefficients : Stoichiometric number d ni = v i d ni = ni0 + v i 1 2d ni d n1 d n 2 = = = d v1 v2 vi(d G t ) T , P 0t @ eq