Page 83 - Introduction to Colloid and Surface Chemistry
P. 83

Liquid-gas and liquid-liquid  interfaces  73
         The  detachment force  is related  to  the  surface  or  interfacial tension
         by  the  expression
                ..  ftF
                                                               (4.11)
                   4-rrR
         where F is the pull on the ring, R is the mean radius of the ring and
         is a correction  factor.




















         Figure 4.6  Measurement of  interfacial  tension  by the  ring method


           To  ensure  zero  and,  hence,  a  constant  contact  angle,  platinum
         rings  carefully  cleaned  in  strong  acid  or  by  flaming  are  used.  It  is
         essential  that  the  ring  should  lie  flat  in  a  quiescent  surface.  For
         interfacial  work,  the  lower  liquid  must  wet  the  ring  preferentially
         (e.g.  for benzene  on water,  a clean platinum ring is suitable;  whereas
         for  water  on  carbon  tetrachloride,  the  ring  must  be  made  hydro-
         phobic).
          The  correction  factor  /8 allows for the  non-vertical  direction  of  the
        tension  forces  and  for  the  complex shape  of the  liquid supported by
        the  ring  at  the  point  of  detachment;  hence,  it  depends  on  the
        dimensions  of the  ring  and  the  nature  of the  interface.  Values of 0
        have  been  tabulated  by  Harkins  and  Jordan 145 ,  they  can  also  be
        calculated  from  the  equation  of Zuidema  and  Waters 146 .

             (p~af  =                   + c                    (4.12)
                      7T 2  R 2  4irR(p {-p 2)
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