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404                               Nonelementary Reaction Kinetics   Chap. 7


                                     2.5
                                     2.0

                               rate   1.5
                              g/dm3-1..,  1.0

                                     0.5

                                     0.0
                                       0   2   4   6   8   1012
                                                t  (W


                                                                     "I
                                     0.4

                                     0.3




                                     0.1


                                     0.0
                                       0   2   4   6   8   1012
                                             t   (hr)
                                       Figure  E7-9.1  Concentrations and rates as a function of time.

                               7.5.5 Chemostats

                               Chemostats are essentially CSTRs that  contain microorganisms. A typi-
                          cal chemostat is shown in Figure 7-16, along with the associated monitoring
                          equipment  and  pH  controller.  One  of  the  most  important  features  of  the
                          chemostat is that  it  allows the operator  to  conthl the cell growth rate. qis
                          control of  the  growth rate is  achieved  by  adjusting the  volumetric feed  rate
                          (dilution rate).

                               7.5.6  Design Equations

                               In  this  section  we  return  to  mass  equations  on  the  cells  [Equation
                          (7-1 17)] and substrate [Equation (7-1 18)] and consider the case where the vol-
                    CSTR   umetric flow rates in and out are the same and that no live @e., viable) cells
                          enter the chemostat. We next define a parameter common to bioreactors called
                          the dilution rate, D. The dilution rate is
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