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-Stirred Tank Reactor (CSTR)

1.4.2 Tubular Reactor

1.4.3 Packed-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 Packed-Bed Reactor (PBR)

2.4 Sizing Continuous-Flow Reactors

2.5 Reactors in Series

2.5.1 CSTRs in Series

2.5.2 PFRs in 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 Space Velocity

CHAPTER 3 RATE LAWS

3.1 Basic Definitions

3.1.1 Relative Rates of Reaction

3.2 The Reaction Order and the Rate Law

3.2.1 Power Law Models and Elementary Rate Laws

3.2.2 Nonelementary Rate Laws

3.2.3 Reversible Reactions

3.3 Rates and the Reaction Rate Constant

3.3.1 The Rate Constant k

3.3.2 The Arrhenius Plot

3.4 Present Status of Our Approach to Reactor Sizing and Design

CHAPTER 4 STOICHIOMETRY

4.1 Batch Systems

4.1.1 Batch Concentrations for 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

5.5 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 the Worrier 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

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

7.6 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

8.2 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 Why Is the Rate Law 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 Rate Laws

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 Step 1 Overview: Diffusion from the Bulk to the External Surface of the Catalyst

10.2.2 Step 2 Overview: Internal Diffusion

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 Chemical Vapor Deposition

10.6 Model Discrimination

10.7 Catalyst Deactivation

10.7.1 Types of Catalyst Deactivation

10.7.2 Reactors That Can Be Used to Help Offset Catalyst Decay

10.7.3 Temperature–Time Trajectories

10.7.4 Moving-Bed Reactors

10.7.5 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), Image, 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

11.6.1 Reactor Staging with Interstage Cooling or Heating

11.6.2 Exothermic Reactions

11.6.3 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 Reactors with Heat Exchange

12.2 Balance on the Heat-Transfer Fluid

12.2.1 Co-current Flow

12.2.2 Countercurrent Flow

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, Image

12.5 Multiple Steady States (MSS)

12.5.1 Heat-Removed Term, R(T)

12.5.2 Heat-Generated Term, 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 Unsteady-State Energy Balance

13.2 Energy Balance on Batch Reactors

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 Semibatch Reactors with a Heat Exchanger

13.4 Unsteady Operation of a CSTR

13.4.1 Startup

13.5 Nonisothermal Multiple Reactions

CHAPTER 14 MASS TRANSFER LIMITATIONS IN REACTING SYSTEMS

14.1 Diffusion Fundamentals

14.1.1 Definitions

14.1.2 Molar Flux

14.1.3 Fick’s First Law

14.2 Binary Diffusion

14.2.1 Evaluating the Molar Flux

14.2.2 Diffusion and Convective Transport

14.2.3 Boundary Conditions

14.2.4 Temperature and Pressure Dependence of DAB

14.2.5 Steps in Modeling Diffusion without Reaction

14.2.6 Modeling Diffusion with Chemical Reaction

14.3 Diffusion Through a Stagnant Film

14.4 The Mass Transfer Coefficient

14.4.1 Correlations for the Mass Transfer Coefficient

14.4.2 Mass Transfer to a Single Particle

14.4.3 Mass Transfer–Limited Reactions in Packed Beds

14.4.4 Robert the Worrier

14.5 What If . . . ? (Parameter Sensitivity)

CHAPTER 15 DIFFUSION AND REACTION

15.1 Diffusion and Reactions in Homogeneous Systems

15.2 Diffusion and Reactions in Spherical Catalyst Pellets

15.2.1 Effective Diffusivity

15.2.2 Derivation of the Differential Equation Describing Diffusion and Reaction in a Single Catalyst Pellet

15.2.3 Writing the Diffusion with the Catalytic Reaction Equation in Dimensionless Form

15.2.4 Solution to the Differential Equation for a First-Order Reaction

15.3 The Internal Effectiveness Factor

15.3.1 Isothermal First-Order Catalytic Reactions

15.3.2 Effectiveness Factors with Volume Change with Reaction

15.3.3 Isothermal Reactors Other Than First Order

15.3.4 Weisz–Prater Criterion for Internal Diffusion

15.4 Falsified Kinetics

15.5 Overall Effectiveness Factor

15.6 Estimation of Diffusion- and Reaction-Limited Regimes

15.6.1 Mears Criterion for External Diffusion Limitations

15.7 Mass Transfer and Reaction in a Packed Bed

15.8 Determination of Limiting Situations from Reaction-Rate Data

15.9 Multiphase Reactors in the Professional Reference Shelf

15.9.1 Slurry Reactors

15.9.2 Trickle Bed Reactors

15.10 Fluidized Bed Reactors

15.11 Chemical Vapor Deposition (CVD)

CHAPTER 16 RESIDENCE TIME DISTRIBUTIONS OF CHEMICAL REACTORS

16.1 General Considerations

16.1.1 Residence Time Distribution (RTD) Function

16.2 Measurement of the RTD

16.2.1 Pulse Input Experiment

16.2.2 Step Tracer Experiment

16.3 Characteristics of the RTD

16.3.1 Integral Relationships

16.3.2 Mean Residence Time

16.3.3 Other Moments of the RTD

16.3.4 Normalized RTD Function, E(Θ)

16.3.5 Internal-Age Distribution, I(α)

16.4 RTD in Ideal Reactors

16.4.1 RTDs in Batch and Plug-Flow Reactors

16.4.2 Single-CSTR RTD

16.4.3 Laminar-Flow Reactor (LFR)

16.5 PFR/CSTR Series RTD

16.6 Diagnostics and Troubleshooting

16.6.1 General Comments

16.6.2 Simple Diagnostics and Troubleshooting Using the RTD for Ideal Reactors

CHAPTER 17 PREDICTING CONVERSION DIRECTLY FROM THE RESIDENCE TIME DISTRIBUTION

17.1 Modeling Nonideal Reactors Using the RTD

17.1.1 Modeling and Mixing Overview

17.1.2 Mixing

17.2 Zero-Adjustable-Parameter Models

17.2.1 Segregation Model

17.2.2 Maximum Mixedness Model

17.3 Using Software Packages

17.3.1 Comparing Segregation and Maximum Mixedness Predictions

17.4 RTD and Multiple Reactions

17.4.1 Segregation Model

17.4.2 Maximum Mixedness

CHAPTER 18 MODELS FOR NONIDEAL REACTORS

18.1 Some Guidelines for Developing Models

18.1.1 One-Parameter Models

18.1.2 Two-Parameter Models

18.2 The Tanks-in-Series (T-I-S) One-Parameter Model

18.2.1 Developing the E-Curve for the T-I-S Model

18.2.2 Calculating Conversion for the T-I-S Model

18.2.3 Tanks-in-Series versus Segregation for a First-Order Reaction

18.3 Dispersion One-Parameter Model

18.4 Flow, Reaction, and Dispersion

18.4.1 Balance Equations

18.4.2 Boundary Conditions

18.4.3 Finding Da and the Peclet Number

18.4.4 Dispersion in a Tubular Reactor with Laminar Flow

18.4.5 Correlations for Da

18.4.6 Experimental Determination of Da

18.5 Tanks-in-Series Model versus Dispersion Model

18.6 Numerical Solutions to Flows with Dispersion and Reaction

18.7 Two-Parameter Models—Modeling Real Reactors with Combinations of Ideal Reactors

18.7.1 Real CSTR Modeled Using Bypassing and Dead Space

18.7.2 Real CSTR Modeled as Two CSTRs with Interchange

18.8 Use of Software Packages to Determine the Model Parameters

18.9 Other Models of Nonideal Reactors Using CSTRs and PFRs

18.10 Applications to Pharmacokinetic Modeling

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

D.1.B Polymath Tutorials

D.2 MATLAB

D.3 Aspen

D.4 COMSOL Multiphysics

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

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.3 Navigation

INDEX

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