Page 36 - Adsorption Technology & Design, Elsevier (1998)
P. 36

Fundamentals of adsorption equilibria  33



               10





             A
            'T
             (9
             o                  1.0 r o        1.25  r o        1.5 r o
             E
                                 I  ............  I   __         I
             v
                             i     Distance from su~.~...~~              ]
             A
             t,.,
                            U'(r o)     ~                            Heat of
                             i                                       adsorption
              -5
                             i    J                                  a    I

              -10

            Figure 3.1  Potential energy diagram for adsorption



            3.2    EXPERIMENTAL    ADSORPTION    ISOTHERMS

            If a quantity q of a gas or vapour is adsorbed  by a porous solid at constant
            temperature  and  the  steady  state  equilibrium  partial  pressure  is  p  (or
            concentration  c)  then  the  function  q(p)  is  the  adsorption  isotherm.
            Isotherms can take one of several forms (known as types I to V) illustrated
            by Figure 3.2. Each of these types is observed in practice but by far the most
            common are types I, II and IV. An inherent property of type I isotherms is
            that  adsorption  is  limited  to  the  completion  of  a  single  monolayer  of
            adsorbate  at the  adsorbent  surface.  Type  I  isotherms  are  observed for  the
            adsorption  of gases  on  microporous  solids  whose  pore  sizes  are  not  much
            larger  than  the  molecular  diameter  of  the  adsorbate;  complete  filling  of
            these  narrow  pores  then  corresponds  to  the  completion  of  a  molecular
            monolayer. Type II isotherms do not exhibit a saturation limit. Near to the
            first point of inflexion of such isotherms a monolayer is completed following
            which adsorption occurs in successive layers. Adsorbents which have a wide
            distribution  of  pore  sizes  form  type  II  isotherms,  condensation  of  the
            adsorbate vapour occurring within the larger pores. The adsorbent displays
            a higher capacity for adsorption as the adsorbate saturated vapour pressure
            is approached.  Similarly type III isotherms, which are continuously convex
            with respect to the partial pressure axis, show a steady increase in adsorption
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