Page 276 - Adsorption by Powders and Porous Solids
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264                            ADSORPT~ON BY POWDERS AND POROUS SOWDS

     very  different in  size: the kinetic diameter of  N, is  0.36 nrn  and that of  CO,  is
     0.33 nm; and  the  corresponding minimum  dimensions  are  0.30  and  0.28
     However, by far the most important factor in causing the greater uptake of CO, is the
     higher operational temperature (Gregg and Sing, 1982, p.  230).
       This effect is exploited to an even greater extent when the carbon dioxide mea-
     surements are undertaken at 273 or 298 K. At these temperatures the carbon dioxide
     saturation pressures are extremely high (e.g. at 298 KpO = 63.4 bar) so that the range
     of p/pO is limited to 20.02 at sub-atmospheric pressures. This has the advantage that
     the initial part of the isotherm can be determined with a much greater accuracy than
     is nonnally possible with nitrogen at 77 K, and in addition the DR plots are generay
     more linear (Rodriguez-Reinoso, 1989).
       Rodriguez-Reinoso and his  co-workers have  identified  three groups of  porous
     carbons: (a) carbonized materials and activated carbons of low burn-off, giving much
      larger CO, uptake, because of restricted diffusion of nitrogen into very narrow pores;
      (b) activated carbons of low-to-medium bum-off,  having fairly narrow micropores
      and  giving  approximately  equivalent uptakes  of  CO,  and  N,;  and  (c) activated
      carbons of medium-to-high burn-off, having a range of wider micropores and giving
      larger uptakes of N,  than CO,.
       Recent experiments by Cazorla-Amoros et al. (1996) have involved the measure-
      ment of CO, isotherms up to pressures of 4 MPa at 273 and 298 K. These investiga-
      tors have confirmed that CO,  adsorption  at subatmospheric pressures is a useful
      complementary technique for the characterization of  very narrow micropores and
      that at higher pressures the adsorption of CO, is similar to nitrogen.


      9.5.2.  Adsorption of organic vapours
      Benzene was the most popular adsorptive in many early studies of the pore structure
      of activated carbons (Dubinin, 1958, 1966; Cadenhead and Everett, 1958; Smisek and
      Cemy. 1970). Indeed, in order to construct the characteristic curve for a given micro-
      porous  carbon, Dubinin  and  his  co-workers  (Dubinin,  1966) originally  adopted
      benzene as the standard adsorptive: thus, in the context of the Dubinin theory of the
      volume filling of micropores (TVFM), the scaling factor 0 (C,H,)  = 1 (see Chapter 8).
        Polanyi's concept of the temperature invariance of the characteristic curve became
      an important feature of the TVFM proposed by  Dubinin (1966). The approach pro-
      vided a way of bringing together a family of isotherms determined at different tem-
      peratures. The resulting common curve may be regarded as the relation between the
      fractional filling of the pores of a microporous carbon by a particular adsorptive and
      the  'adsorption  potential',  defined  as  RTln (pO/p). An  example  of  a  typical
      characteristic curve is shown in Figure 9.17, where it is evident that for the active
      carbon CK  the common characteristic curve is given by  all the benzene isotherms
      determined over the temperature range of 20-140°C.
        Not  all  characteristic  curves  are  temperature  invariant  (Aranovich,  1991;
      Tolmachev, 1993). Invariance over a wide temperature range has  thermodynamic
      implications, which are unlikely to be consistent with the behaviour of many systems
      - especially  when  strong  adsorbent-adsorbate  interactions or  a  combination of
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