Page 171 - Modelling in Transport Phenomena A Conceptual Approach
P. 171

6.1.  CONSERVATION OF CHEMICAL SPECIES                              151


           Therefore, Eq. (6.1-2) takes the form







              Sometimes  it is more convenient to work on molar basis. Division of Eqs. (6.1-2)
           and (6.1-5) by the molecular weight of species i, Mi, gives



                                                                            (6.1-6)



           and







           where  ni and  ci  are  the  molar  flow  rate  and  molar  concentration  of  species i,
           respectively.


           Example 6.1  The liquid phase reaction

                                      A+2B+C+2D

           takes place  in an isothermal,  constant-volume  stirred  tank  wactor.  The rate  of
           reaction is expressed by

                          r = k CACB    with    k = 0.025 L/ mol. min

           The feed  stream  consists  of  equal  concentrations  of  species  A and  B at  a  value
           of  lmoI/L.  Determine the residence  time required  to achieve  60% conversion  of
           species B under steady  conditions.

           Solution

           Assumption

             1. As a result of perfect mixing, concentrations of species within the reactor are
                uniform, i-e.,    = (ci)sys.
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