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Question

The following results have been obtained during the kinetic study of the reaction
A+BC+D
Experiment[A] [B] Initial rate offormation of(Msec1)I0.10.16.0×103II0.30.27.2×102III0.30.42.88×101IV0.40.12.40×102
Determine the rate law of the above reaction.
  1. Rate law =k[A]2[B]
  2. Rate law =k[A][B]
  3. Rate law =k[A]2[B]2
  4. Rate law =k[A][B]2


Solution

The correct option is D Rate law =k[A][B]2
r1=6×103=k[A]m[B]n
6×103=k[0.1]m[0.1]n  ....(1)
r2=7.2×102=k[0.3]m[0.2]n ....(2)
r3=2.88×101=k[0.3]m[0.4]n .....(3)
r4=2.40×102=k[0.4]m[0.1]n  ....(4)
equation (ii)/(iii) 2.880.72=4=(0.40.2)n(2)n=4n2
doing (iv)/(i) 2.400.6=(4)mm=1
rate law = - d[A]dt=k[A][B]2

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