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18     Enzymes In Tropical Soils



                           where k is the rate constant, A is pre-exponential factor, E is Energy of Activation, R
                                                                                0
                           is the universal gas constant, and T is absolute temperature in  K.  This equation
                           can also be expressed in logarithmic form in Eq. 2.3 as follows.


                                                        .......   Eq. 2.3


                           By using a plot of log k versus 1/T, A can be calculated  from the intercept while E
                           can be calculated from the value of the slope because R is a constant and T is an
                           absolute temperature value.
                                The rate of a biochemical reaction is also controlled by pH.  The rate of an
                           enzymatic biochemical reaction is usually highest at an optimum value and is lower
                           at pH values lower or higher than the optimum value.  The depencence of the rate
                           of an enzymatic reaction on pH is related to several factors.  First is the stability of
                           enzyme proteins that is highest at optimum pH.  Higher or lower pH denatures the
                           enzyme  proteins.    Second,  pH  may  affect  the  ionization  and  deionization  of
                           enzymes active sites.  Third, pH may influence the solubility of the substrate and
                           also the adsorption-desorption of enzyme molecules on soil active sites.



                           2.3  Energy of Activation

                                The Arrhenius equations (Eq. 2.2 and Eq. 2.3) suggest that the rate of any
                           biochemical reaction that transforms the reactants into products is controlled by
                           the Energy of Activation.  Energy of Activation is a measure on the magnitude of all
                           forces that must be surmounted during a reaction process (Sparks, 1989).  Sparks
                           (1989) stated that a higher  Energy of Activation results in a lower rate of reaction.
                           Castellan (1983) stated that this energy barrier separates the reactant state from
                           the product state.  To form the products, the reactants must have sufficient energy
                           to overcome this energy barrier.  Without enough energy to surmount the energy
                           barrier, the reactants will stay at their orgininal states and the products will never
                           exist.
                                The  Activation  Energy  in  Arrhenius  equation  can  be  described  by  Fig.  2.2
                                                                                              0
                           (Castellan, 1983).  As shown, the state of Enthalpy of Reactants with Enthalpy H R
                                                                       0
                           are separated from those of Products with Enthalpy H P .  The quantity of energy (E)
                           is as shown in Eq. 2.4 as follows.



                           Abdul Kadir Salam - 2014
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