pset10 - 10.37 Spring 2007 Problem Set 10 Due Wednesday,...

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10.37 Spring 2007 Problem Set 10 Due Wednesday, May 9 Figure 1. 1) The catalytic reaction (A Æ B) 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, F T0 . 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, F T0 )] 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, F T0 )] is the reaction limited by the rate of the surf e) Is the reaction limited by internal diffusion? f) If your answer to part (e) was “yes,” under what conditions [of those shown (i.e. T, F T0 )] is the reaction limited by the rate of internal diffusion? g) For a flow rate of 10 mol/hr, determine (if possible) the overall effectiveness factor, , at 360 K. h) Estimate (if possible) the internal effectiveness factor, η , at 367 K. i) If the concentration at the external catalyst surface is 1 mol/L, calculate (if possible) the concentration at r = R/2 inside the porous catalyst at 367 K. j) If the reactor must achieve a conversion X=0.05, qualitatively sketch how the length of the reactor will have to vary with T and with F T0 . Assume the reactor is isothermal. 1 Cite as: William Green, Jr., and K. Dane Wittrup, course materials for 10.37 Chemical and Biological Reaction Engineering, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
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10.37 Spring 2007
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pset10 - 10.37 Spring 2007 Problem Set 10 Due Wednesday,...

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