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50    Modeling of Chemical Kinetics and Reactor Design

























                               Figure 1-6. Reaction rate of ethyl nitrate as a function of concentration.





                                                        Example 1-5
                                Determine the Michaelis-Menten Parameters  V   max  and K  for
                                                                                          m
                              the reaction:
                                              k 1
                                                             *
                                 urea + urease [ [ urea urease] +  H O
                                                     •
                                                                 2
                                              k 2
                                [ urea urease] + H O   → 2   NH 3  + CO 2  + urease
                                             *
                                                       
                                                       k 3
                                     •
                                                 2
                              The rate of reaction is given as a function of urea concentration in
                              Table 1-4.
                              Solution

                                Using Equation 1-220

                                 V =  V max  • C urea
                                  O                                                     (1-220)
                                     C urea  +  K m

                              and rearranging gives
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