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424                               Nonelementary Reaction Kinetics   Chap. 7

                              cDp7-A~  Determine the rate law and mechanism for the reaction
                                                    2GCH,  --+   2G = CH, +H2

                                         [2nd Ed. P7-6~1
                              CDP7-BA   Suggest a mechanism for the reaction
                                                    I- + oc1-  ---+  01- + CI-
                                         [2nd Ed. P7-8B]
                                        Develop a rate law  for substrate inhibition of  an  enzymatic reaction.
                                        [2nd Ed. P7-16A]
                                        Use POLYMATH to analyze an enzymatic reaction. [2nd Ed. P7-]9B].
                                        Redo Problem P7-17 to include chain transfer. [2nd Ed. P7-23B]
                                        Determine the rate of  diffusion of oxygen to cells. [2nd Ed. PI 2- 1281
                                        Determine the growth rate of ameoba predatory on bacteria. [2nd Ed.
                                        P  1 2- 1 5,]
                                        Plan the scale-up of  an oxygen fermentor. [2nd Ed. PI 2- I 6BJ
                                        Assess the effectiveness of  bacteria used for denitrification in a batch
                                        reactor. [2nd Ed, P12-18~1
                              CDP7-JA   Determine  rate  law  parameters  for  the  Monod  equation.  [2nd  Ed.
                                        P12-19,]


                                      JOURNAL  CRITIQUE  PROBLEMS

                           wc - 1  Compare the theoretical curve with  actual data points in Figure 5b [Biotech-
                                  nol. Bioeng., 24, 329 (1982)], a normalized residence-time curve. Note  that
                                  the two curves do not  coincide at higher conversions. First, rederive the rate
                                  equation. and  the  normalized residence-time equations used  by  the  authors,
                                  and then, using the values for kinetic constants and lactase concentration cited
                                  by  the authors, see  if  the theoretical curve can  be  duplicated. Linearize  the
                                  normaked residence-time equation and replot the data, the theoretical curve
                                  in Figure 5b,  and a theoretical  curve that is obtained by  using the constants
                                  given in the paper. What is the simplest explanation for the results observed?
                           wc - 2  In  Figure 3  [Biofechnol. Bioeng.,  23, 361  (1981)],  1/V was  plotted  against
                                  (l/S)( 1 IPGM) at three constant 7-ADCA concentrations, with  an attempt to
                                  extract V,,,  for the reaction. Does the V,,,  obtained in this way  conform to
                                  the true value? How is the experimental V,,,  affected by  the level of  PGM in
                                  the medium?
                           wc - 3  In J. Catal.,  79,  132 (1983), a mechanism  was  proposed  for the  catalyzed
                                  hydrogenation of pyridine in  slurry reactors. Reexamine the data and model
                                  using an Eley-Rideal adsorption mechanism and comment on the appropriate-
                                  ness of  this new analysis.



                                         SUPPLEMENTARY  READING
                            1. A discussion of complex reactions involving active intermediates is given in
                                 FROST, A. A., and R. G. PEARSON, Kinetics and Mechanism, 2nd ed. New York:
                                    Wiley.  1961, Chap. 10.
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