Page 71 - Basic physical chemistry for the atmospheric sciences
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Chemical kinetics                    'i7

                                             0
             Solution.  Substituting  k  =  1 . 0 x 1 0 - 1 s - 1  . Ea =  1 1 1   kJ  mol - 1 ,    '/'

           300°K, and R = *  8 . 3 14 x 1 0 -  3   kJ mo1 - 1  K  - 1  into Eq. (3.9) gives
                               l .O  x  t o  - 10
                      A =    (     - 1 1     )  s - 1 = 2 . l x  l 0 9s - 1
                                      1
                         exp     14
                              (8 3 .  x  1 0  -  3 )300
                                 u
           If we now assume (as is  s ually done) that A and Ea do not vary with
                                                               1
           temperature,  we can  substitute  A = 2 . 1 x l 09  s - 1 ,  Ea = 1 1  kJ  mol - 1  ,
                                  1
           R = *  8 . 3 1 4 x 1 0 -  3   kJ mo1 - K - 1 ,   and T =  273K into Eq. (3.9) to obtain
           the rate constant at 273 .   Hence,
                                K
                                 (      - l l   l  )
                                          1 0
                                                                12
                k27 K 3  -  2  . l   x 1 0   exp  (S . 3 14 x   _ 3 273   s  - l . 2 x   10  - s  -  I
                                                    - I  _
                    _        9                )
                                    3.6  Catalysis
           A catalyst is a substance that increases the rate of a chemical reaction
           without  itself  undergoing  a  permanent  chemical  change.  Thus,  the
           catalyst does not appear in the net chemical equation for the reaction,
           although its presence may  be indicated above the  arrow  in  the equa­
           tion.  Generally,  a  catalyst  increases  the  chemical  reaction  rate  by
           providing an alternative pathway that has a lower activation energy.
             If the reactants and the catalyst are in the  same phase,  the catalysis
           is said to be homogeneous.  A heterogeneous catalyst exists in a differ­
           ent phase from the reactant molecules.5
             To illustrate a homogeneous catalyst consider the reaction



           In  the  absence  of  a  catalyst  this  reaction  proceeds  in  the  forward
                  n
           directio ,   but  very  slowly. However,  it can be catalyzed by bromine
           (Br 2 ) .   This catalysis occurs in two steps. First


           then,
                    2Br  ( aq) + H202(aq) + 2H + (aq)� Brz(aq) + 2H20(1)
                       -
           Adding the last two equations we get for the net reaction
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