Page 89 - Adsorption by Powders and Porous Solids
P. 89

ADSORPTION BY POWDERS AND POROUS SOLIDS

















   Figure 3.16.  Pseudo-differential (left) and differential (right) energies of adsorption, as obtained with
   a discontinuous or continuous procedure, respectively.

   involves the use of the following equation:





   The 'rate of adsorption'f"  is determined with the help of Equation (2.80) from the
   experimental rate of introduction,  f, of the adsorptive, the dead volumes Vc  and V,
   and their temperatures Tc and T,,  and the slope dp/dt.  The only extra information
   needed is a continuous recording of the heat-flow q5 from the beginning to the end of
   the experiment. To obtain these data, a convenient procedure is described in  the
   following steps.
      Steps  1-5  as  for  the  discontinuous experiment.  Dead  space  volume  deter-
      mination (Step 4) also possible by  the discontinuous sonic nozzle procedure
      (Section 3.3.2).
    6.  Adsorbent bulb and calibrated volumes evacuated. Adsorbent bulb isolated.
    7.  Gas flow rate calibrated (cf. Step 3 of continuous sonic nozzle procedure).
    8.  Calibrated volume evacuated, while adsorptive still introduced at constant rate.
    9.  Evacuation valve closed (starting time of experiment).
   10. Adsorption bulb opened and heat-flow q5  = (dQ/dt),  and quasi-equilibrium pres-
      sure p recorded.
   11. Adsorbent bulb evacuated when final pressure reached.

   The results  can  be  presented  in  the  form  of  a  continuous  curve  of  differential
   enthalpies of adsorption A &h  versus nu, as shown in Figure 3.16b, with a resolution
   which  is much higher than  that obtained by  the  discontinuous procedure  (Figure
   3.16a). If the adsorption calorimeter cannot be easily connected to a well-calibrated
   and well-temperature-controlled adsorption sonic nozzle set-up, or when the adsorp
   tion isotherm is difficult to determine (e.g. if very small amounts are adsorbed), there
   remains the possibility of determining, separately, the adsorption isotherm by any of
   the discontinuous or continuous procedures described in Sections 3.3.1 or 3.3.2. A
   simple procedure can be applied which does not require the gas flow rate calibration:
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