Page 100 - Introduction to Colloid and Surface Chemistry
P. 100

90  Liquid-gas  and liquid-liquid  interfaces

        phase.  The  strong  electrostatic  interactions which  are  likely  at  this
        location  may  influence  the  nature  of  the  transition  state  and/or
        reactant  concentration;  for  example,  cationic micelles may  catalyse
        reaction  between  a  nucleophilic  anion  and  a  neutral  solubilised
        substrate.

        Surface behaviour
        Figure  4.13  illustrates  how  a  highly  surface-active material  such  as
        sodium  dodecyl  sulphate  lowers  the  surface  tension  of  water  quite
        appreciably  even  at  low  concentrations.  The  discontinuity  in  the
        y-composition curve is identified with the c.m.c., beyond  which there
        is  an  additional  mechanism  for  keeping  hydrocarbon  chains  away
        from  water  surfaces  -  i.e.  by  locating  them  in  the  interior  of  the
        micelles.  Since  the  micelles  themselves  are  not  surface-active,  the
        surface  tension  remains approximately  constant  beyond  the  c.m.c.
        The  minimum  in  the  y-composition  curve,  shown  by  the  dashed
        curve,  is  typical  of  measurements  which  have  been  made  on
        surfactant  solutions and in apparent  violation of the Gibbs equation,
        since it suggests  desorption over the small concentration  range where
        dy/dc is positive.  This anomaly is attributed to traces of impurity such
        as  dodecanol,  which  is  surface-adsorbed  below  the  c.m.c.  but
        solubilised  by  the  micelles  beyond  the  c.m.c.  With  sufficient
        purification  the  minimum  in  the  y-composition  curve  can  be
        removed.  Beyond  the  c.m.c.,  where  dy/dc  —  0,  application  of
        the  Gibbs  equation  might suggest  almost  zero adsorption;  however,
        dy/da, where a represents  the  activity of single surfactant  species, is
        still  appreciably negative, a changing little above  the  c.m.c.

        Conductance

        Micelle  formation  affects  the  conductance  of  ionic  surfactant
        solutions for  the  following reasons:


        1.  The  total  viscous drag on  the  surfactant molecules  is reduced  on
          aggregation.
        2.  Counter-ions become kinetically a part of the micelle, owing to its
          high surface charge  (see  Chapter  7), thus reducing the number of
          counter-ions  available for carrying the  current  and  also  lowering
          the  net charge of the micelles. Typically, 50 to 70% of the counter-
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