Page 136 - Introduction to Colloid and Surface Chemistry
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126  The solid-gas  interface





              Desorption

                        Adsorption








        Figure 5.8  A  hysteresis loop in physical adsorption

        these circumstances,  be lower than the pressure  required for capillary
        condensation.
          Another  theory  of  adsorption  hysteresis  considers  that  there  are
        two types of pores present,  each having a size distribution. The first
        type  are  V-shaped,  and  these fill and empty reversibly.  The  second
        type  have a  narrow  neck  and  a  relatively  wide interior.  These  'ink-
        bottle'  pores  are  supposed  to  fill  completely  when  a  plp Q  value
        corresponding  to  the  relatively  wide  pore  interior  is  reached,  but
        once filled they  retain  their contents  until p/p Q  is reduced  to  a value
        corresponding  to  the  relatively small width of the  pore  neck.
          In  a  further  theory,  the  pores  are  considered  to  be  open-ended
        cylinders. Condensation  will commence on the pore walls, for which
        the  principal radii of curvature are  the  pore  radius and  infinity,  and
        continue  until  the  pore  is filled with  condensed  liquid.  Evaporation
        must  take place  from  the  concave  liquid  surfaces at  the  ends of  the
        pore,  for  which  (assuming zero  contact  angle) the  principal radii of
        curvature are  both  equal to the  pore  radius.

                                    70
        Mercury intrusion porosimetry
        Pore  size  distributions  are  often  determined  by  the  technique  of
        mercury  intrusion  porosimetry.  The  volume  of  mercury  (contact
        angle c.  140° with most  solids)  which can be forced  into the  pores of
        the  solid  is  measured  as  a  function  of  pressure.  The  pore  size
        distribution  is  calculated  in  accordance  with  the  equation  for  the
        pressure  difference  across  a curved liquid interface,
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