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62                  Basic physical chemistry

                      (f)  A catalyst for a forward reaction has an equal effect on
                         the reverse reaction.
                      (g)  Gases that have small residence times in the atmosphere
                         tend to have large spatial variabilities.
            3 . 8 .    The initial reaction rate  f  a hypothetical reaction
                                           o
                                           A  + B � G
                     was measured at 25°C for several different starting concen­
                                     B
                     trations of A and  .   The results are shown below.

                       Ex per-                              Initial reaction
                        iment          [A]       [B]             rate
                                                                    -
                       number         (M)        (M)           (M  s  1 )
                          I           0 .20      0.30          2.0 x  1 0 - 6
                          2           0.40       0 . 3 0       1 . 6 x  1 0  - 5
                          3           0.20       0.60          4.0 x  1 0 - 6


                     Use these data to determine the values of  ,   n and  i n  Eq.
                                                           m
                                                                   k
                     (3.3) for this reaction. What will be the reaction rate at 25°C
                     for [A]   =  0. 1 0   M and  [BJ  =  0 . 8 0 M  ?
            3 . 9 .    S h ow that  f   the overall order of a chemical reaction is zero,
                               i
                     the concentration [Alt of a reactant at time t is given by
                                        [Alt =  - akt + [A]0
                     where  a  is the coefficient of A in the equation for the bal­
                     anced chemical reactio ,   k the rate coefficient, and [A]0 the
                                          n
                     initial concentration of A.
                                                   fo
            3 . 1 0 .    The second-order rate coefficient  r   the reaction
                                  NO(g) + Oig)� N02(g) + Oz{g)
                                   3
                     is  l . 8 x  1 0 - 2 0 m s - 1  molecule - 1  at 0°C. (a) Write an expres­
                     sion for the pseudo first-order rate coefficient for the above
                     reaction in air in terms of [03(g)] . (b) If the concentration of
                     ozone  in air is constant at  15  parts  per billion  by volume
                     (ppbv), determine the value of this pseudo rate coefficient at
                      I  atm and 0°C.
            3 . 1   l .    For a first-order reaction involving gases that is of the form

                                         A(g)� products,
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