Page 158 - Modeling of Chemical Kinetics and Reactor Design
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128    Modeling of Chemical Kinetics and Reactor Design

                                     C   C 
                                 ln   AO  •  B    =α kt                                (3-72)
                                     C A  C BO 

                                A plot of ln(C  /C  × C /C   ) versus time t gives a straight line
                                              AO  A     B  BO
                              with the slope αk as shown in Figure 3-8. Examples of bimolecular
                              reactions with rate equations similiar to those given in Equation 3-40
                              are shown in Table 3-1.


























                                       Figure 3-8. Test for the reaction 2A + B  → products.




                                                          Table 3-1
                                                   Second order reaction
                              1. Alkaline hydrolysis of esters:
                                                              +
                                 CH COOC H + NaOH→  CH COONa C H OH
                                   3     2  5          3        2  5
                              2. Bromination of alkenes:
                                 CH CH = CH + Br → CH CHBrCH Br
                                                             2
                                                2
                                            2
                                                      3
                                   3
                                      2
                              3. Nucleophilic substitution:
                                  −
                                 Cl + CH I→ CH Cl +  I −
                                             3
                                       3
                              4. Nitroethane iodination:
                                                                  +
                                 CH NO +  C H N → C H NO + C H NH +  I −
                                                         2
                                                               5
                                                             5
                                       2
                                    5
                                  2
                                           6
                                                      4
                                                   2
                                              5
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