The catalytic reaction
takes place within a fixed bed containing spherical porous catalyst X22. Figure 1 shows the overall rates of reaction at a point in the reactor as a function of temperature for various entering total molar flow rates, FT0.
(a) Is the reaction limited by external diffusion?
(b) If your answer to part (a) was "yes," under what conditions [of those shown (i.e., T, FT0)] is the reaction limited by external diffusion?
(c) Is the reaction "reaction-rate-limited"?
(d) If your answer to part (c) was "yes," under what conditions [of those shown (i.e., T, FT0)] is the reaction limited by the rate of the surface reactions?
(e) Is the reaction limited by internai diffusion?
(f) If your answer to part (e) was "yes," under what conditions [of those shown (i.e., T, FT0)] is the reaction limited by the rate of internal diffusion?
(g) For a flow rate of 10 g mol/h, determine (if possible) the overall effectiveness factor,Ω , at 360 K.
(h) Estimate (if possible) the internai effectiveness factor, η), at 367 K.
(i) If the concentration at the external catalyst surface is 0.01 mol/dm3, calculate (if possible) the concentration at r = R/2 inside the porous catalyst at 367 K. (Assume a first-order reaction.)
Figure 1 Reaction rates in a catalyst bed.
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