Page 399 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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380
                                                       Y                  pK a
     CHAPTER 3                                       4-CH 3 O             9.32
                                                     3-CH 3 O             9.04
     Structural Effects on
     Stability and Reactivity                        4-CH 3               9.22
                                                     4-F                  8.94
                                                     H                    9.03
                                                                          8.19
                                                     3-NO 2
                                                                          8.14
                                                     4-NO 2
                                                     4-Cl                 8.83
                                                     3-Cl                 8.67
                        3.8. Write the rate law that would apply to the rate of product formation for each of
                            the following reaction mechanisms.
                                  a.  H     H                 H
                                                       k 1         –
                                                                            +
                                       C  C   +  R 3 N                 +  R N H
                                                                          3
                                    Br      Br          k -1  Br   Br
                                     H
                                          –    k 2                    –
                                                     H  C  C  Br  +  Br
                                    Br    Br
                                                           k 3
                                                                          +
                                    H  C  C  Br  +  R 3 N       H  C  C  N R 3
                                     where the second step is rate-determining and the first step is an equilibrium


                            b.                         k 1
                                (CH ) CO C        NO 2           (CH ) C+  +  – O C      NO
                                       2
                                   3 3
                                                     H O-acetone    3 3        2            2
                                                      2
                                                    (CH ) COH
                                                       3 3
                                              k 2   O
                                                  H 2
                                   ) C+
                                (CH 3 3
                                                  –H +
                                              k 3    (CH ) C=CH 2
                                                       3 2
                                 where the competing product-forming steps are faster than the first step
                                                                 Br
                        c.  X          +  Br 2   k 1     X  +
                                                 k  –1           H

                                     Br    k
                            X   +          2                    +
                                               X         Br +  H
                                     H
                                              k 3
                             Br –  +   Br 2
                                              k  –3

                            assuming that the σ complex is  a steady state intermediate and that the final step is a rapid
                                                                         –
                            equilibrium that converts some of the initial Br2 to unreactive Br3 .  What is the form of the
                            rate expression if the intermediate of the first step goes on to product much faster than it
                                                                         –
                            reverts to starting material and if the equilibrium constant for Br3  formation is large.
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