Contents

PREFACE

ABOUT THE AUTHOR

CHAPTER 1 MOLE BALANCES

1.1 The Rate of Reaction, -rA

1.2 The General Mole Balance Equation

1.3 Batch Reactors (BRs)

1.4 Continuous-Flow Reactors

1.4.1 Continuous-StinedTankReactor(CSTR)

1.4.2 Tubular Reactor

1.4.3 Pachd-Bed Reactor (PBR)

1.5 Industrial Reactors

CHAPTER 2 CONVERSION AND REACTOR SIZING

2.1 Definition of Conversion

2.2 Batch Reactor Design Equations

2.3 Design Equations for Flow Reactors

2.3.1 CSTR (Also Known as a Backmix Reactor or a Vat)

2.3.2 Tubular Flow Reactor (PFR)

2.3.3 Pachd-Bed Reactor (PBR)

2.4 Sizing Continuous-Flow Reactors

2.5 Reactors in Series

2.5.1 CSTRs in Series

2.5.2 PFRsin Series

2.5.3 Combinations of CSTRs and PFRs in Series

2.5.4 Comparing the CSTR and PFR Reactor Volumes and Reactor Sequencing

2.6 Some Further Definitions

2.6.1 Space Time

2.6.2 SpaceVelocity

CHAPTER 3 RATE LAWS

3.1 Basic Definitions

3.1.1 Relative Rates of Reaction

3.2 The Rate Law

3.2.1 Power Law Models and Elementary Rate Laws

3.2.2 JSonelementary Rate Laws

3.2.3 Reversible Reactions

3.3 The Reaction Rate Constant

3.3.1 The Rate Constant k and Its Temperature Dependence

3.3.2 Interpretation of the Activation Energy

3.3.3 The Arrhenius Plot

3.4 Molecular Simulations

3.4.1 Historical Perspective

3.4.2 Stochastic Modeling of Reactions

3.5 Present Status of Our Approach to Reactor Sizing and Design

CHAPTER 4 STOICHIOMETRY

4.1 Batch Systems

4.1.1 Batch Concentrationsfor the Generic Reaction, Equation (2-2)

4.2 Flow Systems

4.2.1 Equations for Concentrations in Flow Systems

4.2.2 Liquid-Phase Concentrations

4.2.3 Gas-Phase Concentrations

4.3 Reversible Reactions and Equilibrium Conversion

CHAPTER 5 ISOTHERMAL REACTOR DESIGN: CONVERSION

5.1 Design Structure for Isothermal Reactors

5.2 Batch Reactors (BRs)

5.2.1 Batch Reaction Times

5.3 Continuous-Stirred Tank Reactors (CSTRs)

5.3.1 A Single CSTR

5.3.2 CSTRs in Series

5.4 Tubular Reactors

5.4.1 Liquid-Phase Reactions in a PFR υ = υ0

5.4.2 Gas-Phase Reactions inaPFRv=v0(l + εΧ) (T/T0)(P0/P)

5.4.3 Effect of ε on Conversion

5.5 Pressure Drop in Reactors

5.5.1 Pressure Drop and the Rate Law

5.5.2 Flow Through a Packed Bed

5.5.3 Pressure Drop in Pipes

5.5.4 Analytical Solution for Reaction with Pressure Drop

5.5.5 Robert theWonier Wonders: What If...

5.6 Synthesizing the Design of a Chemical Plant

CHAPTER 6 ISOTHERMAL REACTOR DESIGN: MOLES AND MOLAR FLOW RATES

6.1 The Molar Flow Rate Balance Algorithm

6.2 Mole Balances on CSTRs, PFRs, PBRs, and Batch Reactors

6.2.1 Liquid Phase

6.2.2 Gas Phase

6.3 Application of the PFR Molar Flow Rate Algorithm to a Microreactor

6.4 Membrane Reactors

6.5 Unsteady-State Operation of Stirred Reactors

6.6 Semibatch Reactors

6.6.1 Motivation for Using a Semibatch Reactor

6.6.2 Semibatch Reactor Mole Balances

6.6.3 Equilibrium Conversion

CHAPTER 7 COLLECTION AND ANALYSIS OF RATE DATA

7.1 The Algorithm for Data Analysis

7.2 Determining the Reaction Order for Each of Two Reactants Using the Method of Excess

7.3 Integral Method

7.4 Differential Method of Analysis

7.4.1 Graphical Differentiation Method

7.4.2 Numerical Method

7.4.3 Finding the Rate-Law Parameters

7.5 Nonlinear Regression

7.5.1 Concentration-Time Data

7.5.2 Model Discrimination

7.6 Reaction-Rate Data from Differential Reactors

7.7 Experimental Planning

CHAPTER 8 MULTIPLE REACTIONS

8.1 Definitions

8.1.1 Types of Reactions

8.1.2 Selectivity

8.1.3 Yield

8.1.4 Conversion

8.2 Algorithm for Multiple Reactions

8.2.1 Modifications to the Chapter 6 CRE Algorithm for Multiple Reactions

8.3 Parallel Reactions

8.3.1 Selectivity

8.3.2 Maximizing the Desired Product for One Reactant

8.3.3 Reactor Selection and Operating Conditions

8.4 Reactions in Series

8.5 Complex Reactions

8.5.1 Complex Gas-Phase Reactions in a PBR

8.5.2 Complex Liquid-Phase Reactions in a CSTR

8.5.3 Complex Liquid-Phase Reactions in a Semibatch Reactor

8.6 Membrane Reactors to Improve Selectivity in Multiple Reactions

8.7 Sorting It All Out

8.8 The Fun Part

CHAPTER 9 REACTION MECHANISMS, PATHWAYS, BIOREACTIONS, AND BIOREACTORS

9.1 Active Intermediates and Nonelementary Rate Laws

9.1.1 Pseudo-Steady-State Hypothesis (PSSH)

9.1.2 If Two Molecules Must Collide, How Can the Rate Law Be First Order?

9.1.3 Searching for a Mechanism

9.1.4 Chain Reactions

9.2 Enzymatic Reaction Fundamentals

9.2.1 Enzyme-Substrate Complex

9.2.2 Mechanisms

9.2.3 Michaelis-Menten Equation

9.2.4 Batch-Reactor Calculations for Enzyme Reactions

9.3 Inhibition of Enzyme Reactions

9.3.1 Competitive Inhibition

9.3.2 Uncompetitive Inhibition

9.3.3 Noncompetitive Inhibition (Mixed Inhibition)

9.3.4 Substrate Inhibition

9.4 Bioreactors and Biosynthesis

9.4.1 Cell Growth

9.4.2 RateLaws

9.4.3 Stoichiometry

9.4.4 Mass Balances

9.4.5 Chemostats

9.4.6 CSTR Bioreactor Operation

9.4.7 Wash-Out

CHAPTER 10 CATALYSIS AND CATALYTIC REACTORS

10.1 Catalysts

10.1.1 Definitions

10.1.2 Catalyst Properties

10.1.3 Catalytic Gas-Solid Interactions

10.1.4 Classification of Catalysts

10.2 Steps in a Catalytic Reaction

10.2.1 Mass Transfer Step 1 : Diffusion from the Bulk to the External Surface of the Catalyst—An Overview

10.2.2 Mass Transfer Step 2: Internal Diffusion—An Overview

10.2.3 Adsorption Isotherms

10.2.4 Surface Reaction

10.2.5 Desorption

10.2.6 The Rate-Limiting Step

10.3 Synthesizing a Rate Law, Mechanism, and Rate-Limiting Step

10.3.1 Is the Adsorption of Cumene Rate-Limiting?

10.3.2 Is the Surface Reaction Rate-Limiting?

10.3.3 Is the Desorption of Benzene Rate-Limiting?

10.3.4 Summary of the Cumene Decomposition

10.3.5 Reforming Catalysts

10.3.6 Rate Laws Derived from the Pseudo-Steady-State Hypothesis (PSSH)

10.3.7 Temperature Dependence of the Rate Law

10.4 Heterogeneous Data Analysis for Reactor Design

10.4.1 Deducing a Rate Law from the Experimental Data

10.4.2 Finding a Mechanism Consistent with Experimental Observations

10.4.3 Evaluation of the Rate-Law Parameters

10.4.4 Reactor Design

10.5 Reaction Engineering in Microelectronic Fabrication

10.5.1 Overview

10.5.2 ChemicalVapor Deposition

10.6 Model Discrimination

10.7 Catalyst Deactivation

10.7.1 Types of Catalyst Deactivation

10.8 Reactors That Can Be Used to Help Offset Catalyst Decay

10.8.1 Temperature-Time Trajectories

10.8.2 Moving-Bed Reactors

10.8.3 Straight-Through Transport Reactors (STTR)

CHAPTER 11 NONISOTHERMAL REACTOR DESIGN-THE STEADY-STATE ENERGY BALANCE AND ADIABATIC PFR APPLICATIONS

11.1 Rationale

11.2 The Energy Balance

11.2.1 First Law of Thermodynamics

11.2.2 Evaluating the Work Term

11.2.3 Overview of Energy Balances

11.3 The User-Friendly Energy Balance Equations

11.3.1 Dissecting the Steady-State Molar Flow Rates to Obtain the Heat of Reaction

11.3.2 Dissecting the Enthalpies

11.3.3 Relating ΔHRx(T), ΔRx(TR) and ΔCP

11.4 Adiabatic Operation

11.4.1 Adiabatic Energy Balance

11.4.2 Adiabatic Tubular Reactor

11.5 Adiabatic Equilibrium Conversion

11.5.1 Equilibrium Conversion

11.6 Reactor Staging with Interstage Cooling or Heating

11.6.1 Exothermic Reactions

11.6.2 Endothermic Reactions

11.7 Optimum Feed Temperature

CHAPTER 12 STEADY-STATE NONISOTHERMAL REACTOR DESIGN—FLOW REACTORS WITH HEAT EXCHANGE

12.1 Steady-State Tubular Reactor with Heat Exchange

12.1.1 Deriving the Energy Balance for a PFR

12.1.2 Applying the Algorithm to Flow Reactorswith Heat Exchange

12.2 Balance on the Heat-Transfer Fluid

12.2.1 Co-cunent Flow

12.2.2 CountercunentFlow

12.3 Algorithm for PFR/PBR Design with Heat Effects

12.3.1 Applying the Algorithm to an Exothermic Reaction

12.3.2 Applying the Algorithm to an Endothermic Reaction

12.4 CSTR with Heat Effects

12.4.1 Heat Added to the Reactor, Q

12.5 Multiple Steady States (MSS)

12.5.1 Heat-RemovedTerm,R(T)

12.5.2 Heat-GeneratedTerm,G(T)

12.5.3 Ignition-Extinction Curve

12.6 Nonisothermal Multiple Chemical Reactions

12.6.1 Energy Balance for Multiple Reactions in Plug-Flow Reactors

12.6.2 Parallel Reactions in a PFR

12.6.3 Energy Balance for Multiple Reactions in a CSTR

12.6.4 Series Reactions in a CSTR

12.6.5 Complex Reactions in a PFR

12.7 Radial and Axial Variations in a Tubular Reactor

12.7.1 Molar Flux

12.7.2 Energy Flux

12.7.3 Energy Balance

12.8 Safety

CHAPTER 13 UNSTEADY-STATE NONISOTHERMAL REACTOR DESIGN

13.1 The Unsteady-State Energy Balance

13.2 Energy Balance on Batch Reactors (BRs)

13.2.1 Adiabatic Operation of a Batch Reactor

13.2.2 Case History of a Batch Reactor with Interrupted Isothermal Operation Causing a Runaway Reaction

13.3 Batch and Semibatch Reactors with a Heat Exchanger

13.3.1 Startup of a CSTR

13.3.2 Semibatch Operation

13.4 Nonisothermal Multiple Reactions

APPENDIX A NUMERICAL TECHNIQUES

A.1 Useful Integrals in Reactor Design

A.2 Equal-Area Graphical Differentiation

A.3 Solutions to Differential Equations

A.3.A First-Order Ordinary Differential Equations

A.3.B Coupled Differential Equations

A.3.C Second-Order Ordinary Differential Equations

A.4 Numerical Evaluation of Integrals

A.5 Semilog Graphs

A.6 Software Packages

APPENDIX B IDEAL GAS CONSTANT AND CONVERSION FACTORS

APPENDIX C THERMODYNAMIC RELATIONSHIPS INVOLVING THE EQUILIBRIUM CONSTANT

APPENDIX D SOFTWARE PACKAGES

D.1 Polymath

D.1.A About Polymath (http://www.umich.edu/~elements/5e/software/polymath.html)

D.1.B Polymath Tutorials (http://www.umich.edu/~elements/5e/softwarelpolymath-tutorial.html)

D.1.C Living Example Problems

D.2 Wolfram

D.3 MATLAB

D.4 Excel

D.5 COMSOL (http://www.umich.edu/~elements/5e/12chap/comsol.html)

D.6 Aspen

D.7 Visual Encyclopedia of Equipment—Reactors Section

D.8 Reactor Lab

APPENDIX E RATE-LAW DATA

APPENDIX F NOMENCLATURE

APPENDIX G OPEN-ENDED PROBLEMS

G.1 Design of Reaction Engineering Experiment

G.2 Effective Lubricant Design

G.3 Peach Bottom Nuclear Reactor

G.4 Underground Wet Oxidation

G.5 Hydrodesulfurization Reactor Design

G.6 Continuous Bioprocessing

G.7 Methanol Synthesis

G.8 Cajun Seafood Gumbo

G.9 Alcohol Metabolism

G.10 Methanol Poisoning

APPENDIX H USE OF COMPUTATIONAL CHEMISTRY SOFTWARE PACKAGES

H.1 Computational Chemical Engineering

APPENDIX I HOW TO USE THE CRE WEB RESOURCES

I.1 CRE Web Resources Components

I.2 How the Web Can Help Your Learning Style

I.2.1 Global vs. Sequential Learners

I.2.2 Active vs. Reflective Learners

I.2.3 Sensing vs. Intuitive Learners

I.2.4 Visual vs. Verbal Learners

I.3 Navigation

INDEX

Web Chapters

CHAPTER 14 MASS TRANSFER LIMHATIONS IN REACTING SYSTEMS

(http://www.umich.edu/~elements/5e/14chap/Fogler_Web_Chl4.pdf)

CHAPTER 15 DIFFUSION AND REACTION

(http://www.umich.eaul/~elements/5e/l5chap/Fogler_Web_Chl5.pdf)

CHAPTER 16 RESIDENCE TIME DISTRIBUTIONS OF CHEMICAL REACTORS

(http://www.umich.edu/~elements/5e/l6chap/Fogler_Web_Chl6.pdf)

CHAPTER 17 PREDICTING CONVERSION DIRECTLY FROM THE RESIDENCE TIME DISTRIBUTION

(http://www.umich.edu/~elements/5e/l7chap/Fogler_Web_Chl7.pdf)

CHAPTER 18 MODELS FOR NONIDEAL REACTORS

(http://www.umich.eau/~elements/5e/18chap/Fogler_Web_Ch18.pdf)

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