Page 161 - Basic physical chemistry for the atmospheric sciences
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Photochemistry                     1 4  7

                  l
           chemica s ,   represents one  of the  most exciting and  important areas or
           research in the environmental  sciences over the past several decades.
           A brief account of current views on this subject is given below.  6
             Ozone  is  continually  generated  in  the  stratosphere  by  Reactions
           (7. 2 4) and (7. 2 5).  Therefore,  if the trace chemicals responsible for the
           removal  of stratospheric  ozone  are  not  to  be  rapidly  depleted,  they
           must  serve  as  a  catalyst  for  the  removal  of  ozone  and/or  atomic
           oxygen  [note  that  the  removal  of atomic  oxygen  will  slow  down  the
                                              )
           production  of ozone  by  Reaction  (7. 2 5 ) .   Most  of the  catalytic  reac­
           tions that have been proposed for this purpose are of the form
                                       x  +  o  3 �  x  o  +  o  2   (7.28a)
                                      xo +  o  �  x  +  o  2       (7.28b)

                             Net:                                   (7.29)
           where  X  represents  the  catalyst.  Reactions  (7.28)  form  a  cycle  in
           which  X  is  consumed  in  (7.28a)  and  reformed  in  (7. 2 8b),  with  XO
           acting  as  an  intermediate.  Provided  that  both  Reactions  (7.28a)  and
           (7.28b) are fast, Reaction (7.29) can proceed much faster than it would
           by  the  direct route  proposed  by Chapman  [i . e . ,  faster than  Reaction
           (7.27)) .  Under these conditions,  and  provided there  is no appreciable
           sink for X, just  a few  molecules of X  have  the  potential to  eliminate
           indefinite numbers of ozone molecules and atomic oxygen.
             In the natural (i.e. ,   anthropogenically undisturbed) stratosphere, the
           most important contenders for the catalyst X are H,  OH ,  NO, and Cl.
           For example,  n   the case of NO
                       i
                                     NO + 03� N02 + 02             (7.30a)
                                     N02 + 0  �  N 0  +  0  2      (7. 3 0b)


                            Net:                                    (7. 3 1 )
                                           i
           At a  temperature  of  - 53°C (which  s   typical  of the stratosphere),  the
           rate coefficients  for Reactions  (7. 3 0a)  and (7.30b) are 3 . 5   x 1 0 - 1 5   and
                    2
                        3
                                     -
           9 . 3   x 1 0 - 1 cm molecu1e - 1   s  1 ,  respectively, compared to  . 8   x 1 0 - 1 6
                                                                6
              3
           cm molecule -  1   s  -  1    for  kd  in  Reaction  (7 .27).  Hence,  the  rate  con­
           stants for Reactions (7  3 0) are greater than those for the direct Reac­
                               .
           tion  (7. 2 7).  However,  whether  or  not  Reactions  (7.30)  will  destroy
           ozone faster than Reaction (7  2 7) will depend on the concentrations of
                                     .
           N02 and  03 ,  as illustrated in  the following exercise.
             Exercise  7.5 .  If Reaction (7.30b) is the rate-determining step in the
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