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The observed kinetics of the solvolysis is first-order in the benzhydryl chloride.
                 This fact alone tells little about the mechanism because
                 soJcen&  is alway_s_present inlarge excess, & we have seen in Section 2.5  (p. 92),
                                                                   -
                                                                         -
                 its concentration  therefore undergms a negligible proportiodchange and will
                 not-e-intnkrate~x~region even  if it is  involveddgt-_or before the  rate-
                 determinhgsteiteed nucleophiles have  relatively  small effects on therate,
                 and ~~arbu~c_le~ghdic sahdfk~
                 ,-                                          onlywfromher.
                 Most added salts accelerate the pjocess, but common ion salts_(chlor_ides iq the
                                 --       ----                 . .
                     of
                 case -- benzhydryl  chloride)  mak e it slower,              azide  causes
                 formation  of some  benzhydryl aide, but  affects th_e_r_af.e-in>he  ~ame-_~ay?is
                                                      &
                                             oThe
                 ~   r    ~    n   ~   ah2       ~stereochemistry  of  the  substitution  can  be
                                        c
                 investigated  by  starting with  a  chiral analog such. as p-chlorobenzhydryl  chlo-
                 ride.  The  salv01ysis  products  are  almost  completely  racem-i~,Although these
                 results have been known for many years,3 a number of questions about details of
                 mechanism  remain unanswered.
                 The SN1 Mechanism
                 Early investigators,  notably  Hughes,  Ingold, and co-workers, accounted for the
                                                                                   a  rate-
                 solvolysis  results  by  proposing  the  S,1  mexhan-s          --
                              .
                       . .
                                  ..
              -  d                      tn  a carbocatio~ed by  rap-cdlheion
                 b            w  Equations 5.2 and 5.3 delineate the SN1 route for the case of ion
                 capture by solvent.
                                                   kt
                                             RCl - + C1-
                                                       R+
                                                  k-I
                 The reverse of the second step, although it should  be included to be rigorously
                 correct,  is  frequently omitted  because the  final product  in  many  cases is  suffi-
                 ciently  unreactive  that  no  experimentally  significant  amount  will  return  to
                 carbocation during the time the reaction is under observation.
                      This simple two-step mechanism, when combined with the stationary-state
                 assumption  for  the  presumably  highly  reactive  positive  ion  (see  Section  2.5,
                 p.  93), leads  to  the  prediction  given  in  Equation  5.4  for  the  rate  of  product
                 formation.  (See  Problem  1.)  The  term  in-paredxses  in  Equam.4 -.  will




                                  ----
                 reduce to unity whenever k,[SOH]  >>  k-,[Cl-]  ; in that case a simple firskwder

                  (a) L.  C. Bateman, E.  D.  Hughes, and C. K.  Ingold, J. Chem. Soc., 974 (1940); (b) C.  G.  Swain,
                 C. B.  Scott, and K. H. Lohmann, J. Amer. Chem. Soc., 75,  136 (1953); (c) D.  Kovatevid, Z. Majerski,
                 S. BorEid, and D.  E.  Sunko,  Tetrahedron, 28, 2469  (1972).
                  For early work on benzhydryl solvolysis, see L. C. Bateman,  M. G.  Church, E.  D.  Hughes, C.  K.
                 Ingold, and N. A. Taher, J. Chem. Soc., 979 (1940), and references cited therein.
                 * The mechanism was proposed by S. C. J. Olivier and G. Berger, Rec.  Trav. Chim., 45, 712  (1926);
                 A.  M. Ward, J. Chem. Soc., 2285 (1927); and C. K. Ingold, Ann. Reps. Chem. Soc.,  24,  156 (1927). It
                 was set out in detail by E.  D.  Hughes, C. K. Ingold, and C. S. Patel, J. Chem. Soc.,  526 (1933); the
                 SN1 terminology was introduced by J. L.  ~leaie, E.  D.  Hughes,  and  C.  K.  Ingold, J. Chm. Soc.,
                 236  (1935).
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