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Chapter | 7  Gasification Theory                             231


             is entirely consumed by the reaction on the outer surface of the char, gasifi-
             cation is restricted to the external surface area. This can happen because of
             the limitation of the mass transfer of gas to the char surface. We can illus-
             trate using the example of char gasification in CO 2 :

                                      C 1 CO 2 -2CO                    (7.58)
                Here, the CO 2 gas has to diffuse to the char surface to react with the
             active carbon sites. The diffusion, however, takes place at a finite rate. If the
             kinetic rate of this reaction is much faster than the diffusion rate of CO 2 to
             the char surface, all of the CO 2 gas molecules transported are consumed
             on the external surface of the char, leaving none to enter the pores and react
             on their surfaces. As the overall reaction is controlled by diffusion, it is
             called the diffusion- or mass-transfer-controlled regime of reaction.
                On the other hand, if the kinetic rate of reaction is slow compared to the
             transport rate of CO 2 molecules, then the CO 2 will diffuse into the pores and
             react on their walls. The reaction in this situation is “kinetically controlled.”

                   Diffusion rateckinetic rate  ½kinetic control reactionŠ
                                                                       (7.59)
                   Diffusion rate{kinetic rate  ½diffusion control reactionŠ
                Between the two extremes lie intermediate regimes. The relative rates of
             chemical reaction and diffusion determine the gas concentration profile in
             the vicinity of the char particle; how the reaction progresses; and how char
             size, pore distribution, reaction temperature, char gas relative velocity, and
             so forth influence overall char conversion. Figure 7.8 shows how the concen-
             tration profile of CO 2 around the particle changes with temperature. With a

                                            Mass transfer


                                             C           C
                                   C g        g  C s      g



                       Reaction
                         rate










                                          Particle temperature
             FIGURE 7.8 Char gasification regimes in a porous biomass char particle.
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