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214  Chapter 8: Catalysis and Catalytic Reactions

                            and the rate law, from equations 8.5-46 and -49, may be written as

                                                     (-rA) = (l/k,,  &kA)                     (8550)


                             Special forms of equation 8.5-50  arise depending on the relative importance of mass
                            transfer, pore diffusion, and surface reaction; in such cases, one or two of the three may
                           be the rate-controlling step or steps. These cases are explored in problem 8-18. The
                            result given there for problem 8-18(a)  is derived in the following example.





                            If the surface reaction is rate controlling, what is the form of the rate law from equation
                            8.5-50, and what does this mean for kAg,   cA$,  r],  and  qO?


      SOLUTION

                            If the surface reaction is the rate-controlling step, any effects of external mass transfer
                            and pore-diffusion are negligible in comparison. The interpretation of this, in terms of the
                            various parameters, is that kAg  >> kA,  cAs  + c/Q,, and  7)  and  no  both approach the value
                            of 1. Thus, the rate law, from equation 8.5-50, is just that for a homogeneous gas-phase
                            reaction:

                                                          (-rA)  =  kAC&                      (8.5-51)

                            The concentration profile for reactant A in this case iS a horizontal line at CA  = cAg;  this
                            can be visualized from Figure 8.9.


      8.6  CATALYST DEACTIVATION AND REGENERATION
                            Despite advances in catalyst design, all catalysts are subject to a reduction in activ-
                            ity with time (deactivation). The rate at which the catalyst is deactivated may be very
                            fast, such as for hydrocarbon-cracking catalysts, or may be very slow, such as for pro-
                            moted iron catalysts used for ammonia synthesis, which may remain on-stream for sev-
                            eral years without appreciable loss of activity. Nonetheless, the design engineer must
                            account for the inevitable loss of catalyst activity, allowing for either regeneration of
                            the catalyst or its periodic replacement. Since these remedial steps are costly, both in
                            terms of capital cost and loss of production during shutdown, it is preferable to min-
                            imize catalyst deactivation if possible. In this section, we explore the processes which
                            cause deactivation, and how deactivation can affect the performance of a catalyst. We
                            also discuss methods for preventing deactivation, and for regeneration of deactivated
                            catalysts.

       8.6.1 Fouling

                            Fouling occurs when materials present in the reactor (reactants, or products, or in-
                            termediates) are deposited upon the surface of the catalyst, blocking active sites. The
                            most common form of fouling is by carbonaceous species, a process known as “coking.”
                            Coke may be deposited in several forms, including laminar graphite, high-molecular-
                            weight polycyclic aromatics (tars), polymer aggregates, and metal carbides. The form
                            of the coke depends upon the catalyst, the temperature, and the partial pressure of the
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