Chemical Kinetics

 

 22) 2ClO2(aq) + 2OH-(aq) ClO3-(aq) + ClO2-(aq) + H2O(l)

 

       (a) Rate = k[ClO2]m[OH-]n

 

             Rate1/Rate2 = 0.0248 M/s/0.00276 M/s = k x (0.060 M)m x (0.030)n/k x (0.020 M)m x (0.030)n

             8.99 = (0.060 M/0.020 M)m = 3.00m

             m = 2

            

             Rate2/Rate3 = 0.00276 M/s/0.00828 M/s = k x (0.020 M)m x (0.030)n/k x (0.020 M)m x (0.090)n

             0.333 = (0.030 M/0.090 M)n = 0.333 n

             n = 1

             Rate = k[ClO2]2[OH-]

             

       (b) Rate = k[ClO2]2[OH-]

 

             0.0248 M/s = k x (0.060 M)2 x 0.030 M

             k = 0.0248 M/s/(0.0602 x 0.030 M3) = 230 M-2s-1

 

       (c) [ClO2] = 0.010 M          [OH-] = 0.015 M

 

             Rate = k[ClO2]2[OH-]

             Rate = 2.3 x 102 M-2s-1 x (0.010 M)2 x 0.015 M

             Rate = 3.4 x 10-4 M/s