Answers: Additional Problems (Chapter 13)

1. (a) 4th order overall
         rate =  k[A]4
                    k[A]3[B]
                    k[A]2[B]2
                    k[A][B]3
                    k[B]4
     (b)  rate = k[A][B]3       (c) k = 2.56 M-3s-1      (d) rate = k[A][B]3 =(2.56M-3s-1)(1M)(2m)3 = 20.5M/S

2. (a) 3rd order overall
          rate = k[A]3                                   rate =  k[B]2[A]
                    k[B]2[C]                                  k[B]3
                    k[A]2[B]                                   k[C]3
                    k[A]2[C]                                   k[C]2[A]
                    k[A][B][C]                               k[C]2[B]

      (b)  rate = k[A]2[C]
            Runs 1 & 2 confirm 3rd order overall
            Runs 3 & 4 confirm zero order in B
            Runs 2 & 3 confirm 2nd order in A (when A increases 1.5X,rate increases 1.5 or 2.25X)

     (c) k = 81.3 M-2s-1
     (d) rate = k[A]2[C] = (81.3M-2s-1)(0.5M)2(0.5M) = 10.2M/s

3.  (a)  rate = k[B]3
     (b) k = 1.00x102M-2s-1
     (c) rate = k[B]3 = (1.00x102M-2s-1)(1.0M)3 = 1.00x102M/s

4.  Ea = R [(T1T2)(T2-T1)]ln(k2/k1) = (0.00831)[(400)(425)/(25)]ln3 = 62.1 kJ/mol

5.   ln(k2/k1) = [(Ea)/(R)][(T2-T1)/(T1T2)] = 2.79     k2/k1 = 16.3

6.   ln(k2/k1) = [(Ea)/(R)][(T2-T1)/(T1T2)]
            ln 10 = [(83.1)/0.00831)][(T2-373)/(373T2)]
            T2 = 408K = 135°C