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Chemical Kinetics

Question
CBSEENCH12006391

The rates of reaction starting with initial concentrations 2 x 10–3 M and 1 x 10–3M are equal to 2.40 x 10–4 M S–1 and 0.60 x 10–4 M s–1 respectively. Calculate the order of the reaction with respect to reactant and also the rate constant.

Solution

We have given intial concentration 2x10-3and 1x10-3
  the intial concentration equal to  2.40 x 10-4 Ms-1 and 0.60 x10-4 MS-1

Let the rate be  = kAx

From the trial (i) and (ii), we get

                      2.40 × 10-4 M s-10.6 × 10-4 M s-1 = 2×10-31×10-3x
or                                          4 = (2)x      or   x = 2.
Thus reaction is of second order

                       Rate = kA2k = RateA2 = 2.4×10-4 mol L-1 s-1(2×10-3 mol L-1)2   = 2.4 × 10-4 mol L-1 s-14 × 10-6 mol2 L-2 = 0.6 × 102 mol-1 L s-1