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Reaction Rate Expression  109

                                                   CHAPTER THREE





                                    Reaction Rate Expression






                                                    INTRODUCTION

                                Chemical reactions are processes in which reactants are transformed
                              into products. In some processes, the change occurs directly and the
                              complete description of the mechanism of the reaction present can be
                              relatively obtained. In complex processes, the reactants undergo a
                              series of step-like changes and each step constitutes a reaction in its
                              own right. The overall mechanism is made up of contributions from
                              all the reactions that are sometimes too complex to determine from
                              the knowledge of the reactants and products alone. Chemical kinetics
                              and reaction mechanism as reviewed in Chapter 1 can often provide
                              a reasonable approach in determining the reaction rate equations.
                              Chemical kinetics is concerned with analyzing the dynamics of chemical
                              reactions. The raw data of chemical kinetics are the measurements of
                              the reactions rates. The end product explains these rates in terms of a
                              complete reaction mechanism. Because a measured rate shows a
                              statistical average state of the molecules taking part in the reaction,
                              chemical kinetics does not provide information on the energetic state
                              of the individual molecules.
                                Here, we shall examine a series of processes from the viewpoint
                              of their kinetics and develop model reactions for the appropriate rate
                              equations. The equations are used to arrive at an expression that relates
                              measurable parameters of the reactions to constants and to con-
                              centration terms.  The rate constant or other parameters can then be
                              determined by graphical or numerical solutions from this relationship.
                              If the kinetics of a process are found to fit closely with the model
                              equation that is derived, then the model can be used as a basis for
                              the description of the process. Kinetics is concerned about the quantities
                              of the reactants and the products and their rates of change. Since
                              reactants disappear in reactions, their rate expressions are given a


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