M/s) 4.69×10\" 9.38x10 0.18s 0.133 2 0.185 .266 3 0.370 0133 0.370 0266 4 3.75x1

Question

M/s) 4.69×10" 9.38x10 0.18s 0.133 2 0.185 .266 3 0.370 0133 0.370 0266 4 3.75x10 For this assignment, you will determine the rate law and the average value for the rate constant for this reaction based on the data provided above. Using the data as your supporting evidence, you will need to consider the following.q (i) What is the overall reaction order for the rate law? (i) Which integrated rate law plot will yield a straight ine for A7 (ili)Which integrated rate law plot will yield a straight line for B? al rate law, the order for A and 8 in the rate law, and the average rate constant with correct unit and number of t figures. In

Explanation / Answer

Ans. #. Order of reaction, n with respect to [A] – comparing relative [A] and reaction rates in experiment 1 and 3; note that [B] is kept constant in both experiments-

            ([A]Rxn3 / [A]Rxn1)n = r3 / r1

            Or, (0.370 / 0.185)n = (1.88 x 10-3 / 4.69 x 10-4)

            Or, (2)n = 4

            Or, n = 2

Therefore, order of reaction with respect to [A] = 2

#. Order of reaction, n with respect to [B] – comparing relative [B] and reaction rates in experiment 1 and 2; note that [A] is kept constant in both experiments-

            ([B]Rxn2 / [B]Rxn1)n = r2 / r1

            Or, (0.266 / 0.133)n = (9.38 x 10-4 / 4.67 x 10-4)

            Or, (2)n = 2

            Or, n = 1

Therefore, order of reaction with respect to [B] = 1

#I. Rate law expression:

            r = k [A]2 [B]

#II. The order of reaction w.r.t. A is second order. For a second order kinetics 1/concertation vs Time yields a straight line.

Therefore, 1/concertation vs Time plots yields a straight line for A.

#III. The order of reaction w.r.t. B is first order. For a first order kinetics ln concertation vs Time yields a straight line.

Therefore, ln concertation vs Time plots yields a straight line for B.

IV. Overall order of reaction = 2 (w.r.t A) + 1 (w.r.t B) = 3

According to the stoichiometry of balanced reaction, the theoretical molecularity of reaction is 4 (= 2 w.r.t. A + 2 w.r.t. B).

Since the theoretical molecularity of the reaction is NOT equal to the experimental overall order of reaction, the given balanced reaction is NOT an elementary reaction.

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