CONTENTS

Front Matter

Title Page, Preface and Acknowledgements
About the Author
Status, History, Issues and Updates
Complementary Textbooks
Teaching Notes and Resources
A Note about Numerical Solutions

Course Units

I. Chemical Reactions
1. Stoichiometry and Reaction Progress
2. Reaction Thermochemistry
3. Reaction Equilibrium
II. Chemical Reaction Kinetics
A. Rate Expressions
4. Reaction Rates and Temperature Effects
5. Empirical and Theoretical Rate Expressions
6. Reaction Mechanisms
7. The Steady State Approximation
8. Rate-Determining Step
9. Homogeneous and Enzymatic Catalysis
10. Heterogeneous Catalysis
B. Kinetics Experiments
11. Laboratory Reactors
12. Performing Kinetics Experiments
C. Analysis of Kinetics Data
13. CSTR Data Analysis
14. Differential Data Analysis
15. Integral Data Analysis
16. Numerical Data Analysis
III. Chemical Reaction Engineering
A. Ideal Reactors
17. Reactor Models and Reaction Types
B. Perfectly Mixed Batch Reactors
18. Reaction Engineering of Batch Reactors
19. Analysis of Batch Reactors
20. Optimization of Batch Reactor Processes
C. Continuous Flow Stirred Tank Reactors
21. Reaction Engineering of CSTRs
22. Analysis of Steady State CSTRs
23. Analysis of Transient CSTRs
24. Multiple Steady States in CSTRs
D. Plug Flow Reactors
25. Reaction Engineering of PFRs
26. Analysis of Steady State PFRs
27. Analysis of Transient PFRs
E. Matching Reactors to Reactions
28. Choosing a Reactor Type
29. Multiple Reactor Networks
30. Thermal Back-Mixing in a PFR
31. Back-Mixing in a PFR via Recycle
32. Ideal Semi-Batch Reactors
IV. Non-Ideal Reactions and Reactors
A. Alternatives to the Ideal Reactor Models
33. Axial Dispersion Model
34. 2-D and 3-D Tubular Reactor Models
35. Zoned Reactor Models
36. Segregated Flow Models
37. Overview of Multi-Phase Reactors
B. Coupled Chemical and Physical Kinetics
38. Heterogeneous Catalytic Reactions
39. Gas-Liquid Reactions
40. Gas-Solid Reactions

Supplemental Units

S1. Identifying Independent Reactions
S2. Solving Non-differential Equations
S3. Fitting Linear Models to Data
S4. Numerically Fitting Models to Data
S5. Solving Initial Value Differential Equations
S6. Solving Boundary Value Differential Equations

Unit 39. Gas-Liquid Reactions

This website provides learning and teaching tools for a first course on kinetics and reaction engineering. In the preceding parts of the course, the reacting fluid was always treated as if it was homogeneous, and only ideal reactor types were considered. The knowledge gained to this point is sufficient for reaction engineering for many commercial processes. Nonetheless, there are situations where the reactor does not conform to one of the ideal types and/or the rates are affected by the kinetics of physical processes in addition to the chemical reaction rate. Part IV of the course surveys a few such situations. It does not provide an in-depth analysis of any of them, but the information provided should serve as a good foundation for further study.

This, final section of the course, considers situations where the kinetics are affected by factors other than the rate of the chemical reaction. This topic was introduced as part of the discussion on performing kinetics experiments in Part II of the course, specifically in Unit 12. The perspective and objective there was to ensure that these other factors were sufficiently small in magnitude so that they could be ignored. In Section A of this part of the course, specifically in Unit 37, it was noted that when two phases are present in a reactor, concentration and temperature gradients may exist near the interface between phases, and the design equations must properly account for those gradients. Section B of Part IV introduces a few ways that this can be accomplished. Once again, a limited, introductory presentation is offered with comprehensive treatment left for a second, more advanced course on kinetics and reaction engineering.

Unit 38 described ways to model reaction kinetics in heterogeneous catalytic systems that involve two phases. Whenever two phases are present and involved in the reactive process, interfacial concentration and temperature gradients can affect the apparent kinetics. Unit 39 offers an overview of systems where a reaction involves one component in a liquid phase and a second component in the gas phase, with the reaction taking place in the liquid phase. The approach is actually quite similar to the approach used for heterogeneous catalysts. One difference is that more than one set of dimensionless quantities are used to characterize gas-liquid system. In one case the quantities are defined with the perspective that the occurrence of the reaction increases the apparent rate of gas absorption into the liquid while in the other, the perspective is more like heterogenous catalysis: the gradients reduce the apparent rate of reaction.

Learning Resources

Teaching Resources

Practice Problems

1. The solution to Example 39.1 states that if the presence of a liquid film is not included in the analysis, the predicted conversion will be 99%. Verify this claim.

2. Suppose that the presence of the gas film was not included in the analysis for Example 39.1 (but the liquid film was included). What conversion would be predicted.

3*. Sometimes, when the rate of reaction is small, the amount of reaction that takes place in the liquid film may be ignored because the volume of the liquid film is so small compared to the volume of the bulk liquid. If this assumption is made in the analysis of Example 39.1, what conversion is predicted?

4*. Sometimes, when the rate of reaction is very large (essentially instantaneous), the concentration of A will become equal to zero somewhere within the film. When this happens, the concentration of B will also equal zero at the same point in the film. Suppose that the rate coefficient for the reaction in Example 39.1 is so large that the reaction is effectively instantaneous. At what distance into the liquid film will the concentrations of A and B become equal to zero?

* This problem introduces something new that wasn't encountered in the informational or illustrational readings and videos.