About the Author |
|
xi | |
Preface |
|
xiii | |
1 Fundamentals of Chemical Reaction Kinetics |
|
1 | (54) |
|
1.1 Concepts of Stoichiometry |
|
|
1 | (10) |
|
1.1.1 Stoichiometric Number and Coefficient |
|
|
1 | (1) |
|
|
2 | (1) |
|
|
3 | (1) |
|
|
4 | (1) |
|
1.1.5 Types of Feed Composition in a Chemical Reaction |
|
|
5 | (1) |
|
|
6 | (1) |
|
1.1.7 Molar Balance in a Chemical Reaction |
|
|
7 | (1) |
|
1.1.8 Relationship between Conversion and Physical Properties of the Reacting System |
|
|
8 | (3) |
|
|
11 | (13) |
|
1.2.1 Mole Fraction, Weight Fraction and Molar Concentration |
|
|
11 | (2) |
|
|
13 | (1) |
|
1.2.3 Isothermal Systems at Constant Density |
|
|
13 | (5) |
|
1.2.3.1 Relationship between Partial Pressure (pA) and Conversion (xA) |
|
|
16 | (1) |
|
1.2.3.2 Relationship between Partial Pressure (pa) and Total Pressure (P) |
|
|
16 | (1) |
|
1.2.3.3 Relationship between Molar Concentration (CA) and Total Pressure (P) |
|
|
16 | (2) |
|
1.2.4 Isothermal Systems at Variable Density |
|
|
18 | (4) |
|
1.2.5 General Case of Reacting Systems |
|
|
22 | (1) |
|
1.2.6 Kinetic Point of View of the Chemical Equilibrium |
|
|
22 | (2) |
|
1.3 Concepts of Chemical Kinetics |
|
|
24 | (19) |
|
1.3.1 Rate of Homogeneous Reactions |
|
|
24 | (2) |
|
|
26 | (3) |
|
1.3.2.1 Relationship between kp and kc |
|
|
27 | (1) |
|
1.3.2.2 Units of kc and kp |
|
|
27 | (2) |
|
1.3.3 Elemental and Non-elemental Reactions |
|
|
29 | (1) |
|
1.3.4 Comments on the Concepts of Molecularity and Reaction Order |
|
|
30 | (1) |
|
1.3.5 Dependency of k with Temperature |
|
|
30 | (13) |
|
1.3.5.1 Arrhenius Equation |
|
|
30 | (2) |
|
1.3.5.2 Frequency Factor and Activation Energy |
|
|
32 | (1) |
|
1.3.5.3 Evaluation of the Parameters of the Arrhenius Equation |
|
|
32 | (10) |
|
1.3.5.4 Modified Arrhenius Equation |
|
|
42 | (1) |
|
1.4 Description of Ideal Reactors |
|
|
43 | (12) |
|
|
43 | (6) |
|
1.4.1.1 Modes of Operation |
|
|
44 | (2) |
|
|
46 | (2) |
|
|
48 | (1) |
|
1.4.2 Continuous Reactors |
|
|
49 | (7) |
|
1.4.2.1 Space-Time and Space-Velocity |
|
|
50 | (1) |
|
1.4.2.2 Plug Flow Reactor |
|
|
50 | (2) |
|
1.4.2.3 Continuous Stirred Tank Reactor |
|
|
52 | (3) |
2 Irreversible Reactions of One Component |
|
55 | (48) |
|
|
56 | (13) |
|
2.1.1 Reactions of Zero Order |
|
|
58 | (1) |
|
2.1.2 Reactions of the First Order |
|
|
59 | (2) |
|
2.1.3 Reaction of the Second Order |
|
|
61 | (3) |
|
2.1.4 Reactions of the nth Order |
|
|
64 | (5) |
|
|
69 | (34) |
|
2.2.1 Numerical Differentiation |
|
|
71 | (3) |
|
2.2.1.1 Method of Approaching the Derivatives (-dCA/dt) to (delta CA/Delta t) or (dxA/dt) to (deltaxA/deltat) |
|
|
71 | (1) |
|
2.2.1.2 Method of Finite Differences |
|
|
72 | (2) |
|
2.2.1.3 Method of a Polynomial of the nth Order |
|
|
74 | (1) |
|
2.2.2 Graphical Differentiation |
|
|
74 | (9) |
|
2.2.2.1 Method of Area Compensation |
|
|
74 | (2) |
|
2.2.2.2 Method of Approaching the Derivative (-dCA/dt) to (delta CA/delta t) |
|
|
76 | (1) |
|
2.2.2.3 Method of Finite Differences |
|
|
77 | (1) |
|
2.2.2.4 Method of a Polynomial of the nth Order |
|
|
78 | (2) |
|
2.2.2.5 Method of Area Compensation |
|
|
80 | (2) |
|
2.2.2.6 Summary of Results |
|
|
82 | (1) |
|
2.3 Method of Total Pressure |
|
|
83 | (8) |
|
2.3.1 Reactions of Zero Order |
|
|
84 | (1) |
|
2.3.2 Reactions of the First Order |
|
|
85 | (1) |
|
2.3.3 Reactions of the Second Order |
|
|
85 | (1) |
|
2.3.4 Reactions of the nth Order |
|
|
86 | (2) |
|
2.3.5 Differential Method with Data of Total Pressure |
|
|
88 | (3) |
|
2.4 Method of the Half-Life Time |
|
|
91 | (12) |
|
2.4.1 Reactions of Zero Order |
|
|
92 | (1) |
|
2.4.2 Reactions of the First Order |
|
|
92 | (1) |
|
2.4.3 Reaction of the Second Order |
|
|
93 | (1) |
|
2.4.4 Reaction of the nth Order |
|
|
93 | (2) |
|
2.4.5 Direct Method to Calculate k and n with Data of t1/2 |
|
|
95 | (2) |
|
2.4.6 Extension of the Method of Half-Life Time (t1/2) to Any Fractional Life Time (t1/m) |
|
|
97 | (1) |
|
2.4.7 Calculation of Activation Energy with Data of Half-Life Time |
|
|
97 | (2) |
|
2.4.8 Some Observations of the Method of Half-Life Time |
|
|
99 | (4) |
|
2.4.8.1 Calculation of n with Two Data of t1/2 Measured with Different CAo |
|
|
99 | (2) |
|
2.4.8.2 Generalization of the Method of Half-Life Time for Any Reaction Order |
|
|
101 | (2) |
3 Irreversible Reactions with Two or Three Components |
|
103 | (32) |
|
3.1 Irreversible Reactions with Two Components |
|
|
103 | (24) |
|
|
103 | (17) |
|
3.1.1.1 Method of Stoichiometric Feed Composition |
|
|
104 | (5) |
|
3.1.1.2 Method of Non-stoichiometric Feed Composition |
|
|
109 | (8) |
|
3.1.1.3 Method of a Reactant in Excess |
|
|
117 | (3) |
|
3.1.2 Differential Method |
|
|
120 | (3) |
|
3.1.2.1 Stoichiometric Feed Composition |
|
|
120 | (1) |
|
3.1.2.2 Feed Composition with a Reactant in Excess |
|
|
120 | (1) |
|
3.1.2.3 Non-stoichiometric Feed Compositions |
|
|
121 | (2) |
|
3.1.3 Method of Initial Reaction Rates |
|
|
123 | (4) |
|
3.2 Irreversible Reactions between Three Components |
|
|
127 | (8) |
|
3.2.1 Case 1: Stoichiometric Feed Composition |
|
|
127 | (2) |
|
3.2.2 Case 2: Non-stoichiometric Feed Composition |
|
|
129 | (1) |
|
3.2.3 Case 3: Feed Composition with One Reactant in Excess |
|
|
130 | (1) |
|
3.2.4 Case 4: Feed Composition with Two Reactants in Excess |
|
|
131 | (4) |
4 Reversible Reactions |
|
135 | (18) |
|
4.1 Reversible Reactions of First Order |
|
|
135 | (4) |
|
4.2 Reversible Reactions of Second Order |
|
|
139 | (7) |
|
4.3 Reversible Reactions with Combined Orders |
|
|
146 | (7) |
5 Complex Reactions |
|
153 | (26) |
|
5.1 Yield and Selectivity |
|
|
153 | (2) |
|
5.2 Simultaneous or Parallel Irreversible Reactions |
|
|
155 | (12) |
|
5.2.1 Simultaneous Reactions with the Same Order |
|
|
155 | (8) |
|
5.2.1.1 Case 1: Reactions with Only One Reactant |
|
|
155 | (6) |
|
5.2.1.2 Case 2: Reactions with Two Reactants |
|
|
161 | (2) |
|
5.2.2 Simultaneous Reactions with Combined Orders |
|
|
163 | (4) |
|
|
165 | (1) |
|
5.2.2.2 Differential Method |
|
|
166 | (1) |
|
5.3 Consecutive or In-Series Irreversible Reactions |
|
|
167 | (12) |
|
5.3.1 Consecutive Reactions with the Same Order |
|
|
167 | (7) |
|
5.3.1.1 Calculation of CRmax and t* |
|
|
171 | (1) |
|
5.3.1.2 Calculation of CRmax and t* for k1= k2 |
|
|
172 | (2) |
|
5.3.2 Consecutive Reactions with Combined Orders |
|
|
174 | (5) |
6 Special Topics in Kinetic Modelling |
|
179 | (64) |
|
|
180 | (16) |
|
6.1.1 Data Reconciliation Method |
|
|
181 | (1) |
|
6.1.2 Results and Discussion |
|
|
182 | (13) |
|
|
182 | (3) |
|
6.1.2.2 Global Mass Balances |
|
|
185 | (2) |
|
6.1.2.3 Outlier Determination |
|
|
187 | (1) |
|
6.1.2.4 Data Reconciliation |
|
|
187 | (2) |
|
6.1.2.5 Analysis of Results |
|
|
189 | (6) |
|
|
195 | (1) |
|
6.2 Methodology for Sensitivity Analysis of Parameters |
|
|
196 | (15) |
|
6.2.1 Description of the Method |
|
|
198 | (4) |
|
6.2.1.1 Initialization of Parameters |
|
|
199 | (2) |
|
6.2.1.2 Non-linear Parameter Estimation |
|
|
201 | (1) |
|
6.2.1.3 Sensitivity Analysis |
|
|
201 | (1) |
|
6.2.1.4 Residual Analysis |
|
|
202 | (1) |
|
6.2.2 Results and Discussion |
|
|
202 | (8) |
|
6.2.2.1 Experimental Data and the Reaction Rate Model from the Literature |
|
|
202 | (2) |
|
6.2.2.2 Initialization of Parameters |
|
|
204 | (2) |
|
6.2.2.3 Results of Non-linear Estimation |
|
|
206 | (1) |
|
6.2.2.4 Sensitivity Analysis |
|
|
207 | (3) |
|
6.2.2.5 Analysis of Residuals |
|
|
210 | (1) |
|
|
210 | (1) |
|
6.3 Methods for Determining Rate Coefficients in Enzymatic Catalysed Reactions |
|
|
211 | (15) |
|
6.3.1 The Michaelis-Menten Model |
|
|
213 | (1) |
|
|
213 | (1) |
|
6.3.1.2 Development of the Model |
|
|
213 | (1) |
|
6.3.1.3 Importance of Vmax and Km |
|
|
214 | (1) |
|
6.3.2 Methods to Determine the Rate Coefficients of the Michaelis-Menten Equation |
|
|
214 | (3) |
|
6.3.2.1 Linear Regression |
|
|
214 | (1) |
|
|
215 | (1) |
|
|
215 | (1) |
|
6.3.2.4 Non-linear Regression |
|
|
216 | (1) |
|
6.3.3 Application of the Methods |
|
|
217 | (5) |
|
6.3.3.1 Experimental Data |
|
|
217 | (3) |
|
6.3.3.2 Calculation of Kinetic Parameters |
|
|
220 | (2) |
|
6.3.4 Discussion of Results |
|
|
222 | (3) |
|
|
225 | (1) |
|
6.4 A Simple Method for Estimating Gasoline, Gas and Coke Yields in FCC Processes |
|
|
226 | (8) |
|
|
226 | (1) |
|
|
227 | (4) |
|
6.4.2.1 Choosing the Kinetic Models |
|
|
227 | (1) |
|
6.4.2.2 Reaction Kinetics |
|
|
228 | (1) |
|
6.4.2.3 Estimation of Kinetic Parameters |
|
|
229 | (1) |
|
6.4.2.4 Evaluation of Products Yields |
|
|
230 | (1) |
|
6.4.2.5 Advantages and Limitations of the Methodology |
|
|
230 | (1) |
|
6.4.3 Results and Discussion |
|
|
231 | (3) |
|
|
234 | (1) |
|
6.5 Estimation of Activation Energies during Hydrodesulphurization of Middle Distillates |
|
|
234 | (9) |
|
|
234 | (1) |
|
|
235 | (1) |
|
6.5.3 Results and Discussion |
|
|
236 | (5) |
|
6.5.3.1 Experimental Results |
|
|
236 | (1) |
|
6.5.3.2 Estimation of Kinetic Parameters |
|
|
237 | (3) |
|
6.5.3.3 Effect of Feed Properties on Kinetic Parameters |
|
|
240 | (1) |
|
|
241 | (2) |
Problems |
|
243 | (30) |
Nomenclature |
|
273 | (4) |
References |
|
277 | (6) |
Index |
|
283 | |