Page 137 - Introduction to Colloid and Surface Chemistry
P. 137

The solid-gas interface  127

             p  = 2y  cos 91 r                                  (5.4)

        If all the pores are equally accessible, only those  for which r is greater
        than  y  cos  0/p will  be  filled,  i.e.  each  pressure  increment  causes  a
        group of smaller pores to be filled and a cumulative pore volume as a
        function  of pore size can  be determined, as illustrated in Figure  5.9.
          When   the  mercury  pressure  is  reduced,  hysteresis  is  usually
        observed.  This  will  reflect  some  of  the  mercury being permanently
        trapped  in  'ink-bottle'  pores  and,  as  such,  the  'ink-bottle'  pore
        volume is given by the residual  mercury entrapped when the mercury
        pressure  is  reduced  to  atmospheric  pressure.  Hysteresis,  however,
        can also result from  structural damage sustained due to the very high
        mercury pressures  involved.
          A  related  technique  for  measuring the  contact  angle  of  a  liquid
        with  a porous  or  finely divided solid  is described  on  page  157.




                            Pore diameter/nm
              14000       72            36




















                          200          400          600
                               Pressure/atm


        Figure 5.9  Mercury pressurisation (full line) and depressurisation (broken line)  for a
        sample of activated carbon
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