Page 48 - Modeling of Chemical Kinetics and Reactor Design
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18    Modeling of Chemical Kinetics and Reactor Design
                                 Br + Br →  Br                                           (1-70)
                                        *
                                   *
                                              2
                                The Rice-Herzfeld mechanisms of reaction are:

                                1. Initiation
                                   • Free radicals are formed by scission of the weakest bond in
                                     the molecule.
                                2. Propagation
                                   • One or both of the radicals formed in the initiation step abstracts
                                     a hydrogen atom from the parent compound to form a small
                                     saturated molecule and a new free radical.
                                   • The new free radical stabilizes itself by splitting out a simple
                                     molecule such as olefin or CO:

                                     RCH −   CH →   R + CH =   CH 2
                                                     *
                                                *
                                          2
                                                2
                                                           2
                                3. Termination
                                   • The chain is broken by a combination or disproportionation
                                     reaction between the two radicals.
                                Employing mechanistic equations based on the Rice-Herzfeld postu-
                              lation yields:


                                1. Initiation
                                        
                                   M →     R +  R * 1                                   (1-71)
                                              *
                                        k 1
                                2. Propagation
                                            
                                   R +  M  →    R +  R H                                (1-72)
                                                       *
                                     *
                                            k 2
                                                  2
                                        
                                   R →      R +  P 1                                    (1-73)
                                              *
                                        k 3
                                     2
                                3. Termination
                                             
                                   R +  R  →    P 2                                     (1-74)
                                         *
                                     *
                                             k 4
                                   R +   R  →    P                                      (1-75)
                                             
                                     *
                                              k 5
                                          2        3
                                             
                                   R +  R  →    P 4                                     (1-76)
                                             k 6
                                         2
                                     2
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