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86  Chapter 4: Development of the Rate Law for a Simple System


                                                             1014   k/cm3  molecule-’ s-l
                                           Ether      2 4 0 K  2 9 8 K  3 3 0 K  3 5 0 K  4 0 0 K

                                         diethyl       17.0   38.1   55.8   66.1   98.6
                                         di-n-propyl   25.8   58.2   75.3   114    130
                                                                            90.0
                v
                                                              68.9
                                                       36.0
                                         di-n-butyl
                                                                     89.7
                                                                                   153
             “O-v
            0              4-20 Nowak and Skrzypek (1989) have measured the rates of decomposition separately of (1)
                               Determine the Arrhenius parameters A and EA for each diether  and specify the units of each.
                               NbHCOs  (A) (to (N&)zCOs), and (2)  (NH&C03  (B) in aqueous solution. They used an
                               open, isothermal BR with continuous removal of gaseous products (CO2  in case (1) and NH3
                               in (2)) so that each reaction was irreversible. They measured CA in case (1) and cB in case (2)
                               at predetermined times, and obtained the following results at 323 K for (1) and 353 K for (2).

                                              lo-Q/s    lOc,Jmol L-l    locB/mol  L-’

                                                0          8.197          11.489
                                                1.8        6.568           6.946
                                                3.6        5.480           4.977
                                                5.4        4.701           3.878
                                                7.2        4.116           3.177
                                                9.0        3.660           2.690
                                               10.8        3.295           2.332
                                               12.6        2.996           2.059
                                               14.4        2.748           1.843
                                               16.2        2.537           1.668
                                               18.0        2.356           1.523


                               (a) Write the chemical equations for the two cases (H20 is also a product in each case).
                               (b) Determine the best form of the rate law in each case, including the numerical value of the
                                   rate  constant.
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