Page 96 - Elements of Chemical Reaction Engineering 3rd Edition
P. 96

I



                                                      Rate Laws                       3


                                      and Stoichiometry














                                             Kinetics is nature’s way of preventing everything
                                            from happening all at once.
                                                                               -S. E. LeBlanc


                         We have shown that in order to calculate the time necessary to achieve a given
                         conversion X  in a batch system, or  to  calculate the reactor volume needed  to
                         achieve a conversion X  111  a flow system, we need to know the reaction rate as
                         a function of  conversion. In this chapter we  show how  this functional depen-
                         dence is obtained. First there is a brief discussion of chemical kinetics, empha-
                         sizing  definitions,  which  illustrates  how  the  reaction  rate  depends  on  the
                         concentrations of  the reacting  species. This discussion is followed by  instruc-
                         tions  on how  to  convert  the reaction rate law  from the  concentration depen-
                         dence to  a dependence on  conversion. Once this dependence is achieved,  we
                         can design a number of isothermal reaction systems.


                         3.1  Basic Definitions

                         A homogeneous reaction is one that involves only one phase. A heterogeneous
                         reaction involves more than  one phase, and reaction usually occurs at,or very
                         near the interface between the phases. An  irreversible reaction is one that pro-
                         ceeds in only one direction and continues in that  directiw until the reactants
          Types of reaction&   are exhausted. A reversible reaction, on the other hand, can proceed in either
                         direction, depending on the concentrations of  reactants and products relative to
                         the corresponding equilibrium concentrations. An irreversible reaction behaves
                         as if no equilibrium condition exists. Stric  y speaking, no chemical reaction is
                         completely irreversible, but  in very  many 1 actions the equilibrium point lies
                                                             r
                         so far to the right that they are treated as irreversible reactions.

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