Name: was studied. The data (10 points) The decomposition reaction 2A(g)B(g)+C(g

Question

Name: was studied. The data (10 points) The decomposition reaction 2A(g)B(g)+C(g) collected is shown below. 5) The data from the study, in which [A] was monitored over a period of time are shown in the plots below 2.68147 14 75333 047229 60 00294 m-asas75 3401333 150-696 0 43333 021343 10-184702 4685333 00387 210-397544 53 27383 y =-0.0083x-2.4075 R2 = 0.9343 vs t -2.5 S -3 -3.5 t (s) 1/[A] vs t y = 0.214x + 8.3333 R2 = 1 60 50 40 30 20 10 50 100 150 200 250 t (s) (a) What are the rate law and the rate constant for this reaction? n another reaction, the starting concentration of A is 0.15 M, how long wil it take for the concentration to reach 0.050 M?

Explanation / Answer

Answer:-

From the given graph, it is evident that the reaction follows second order kinetics.

So, rate law = k[A]2

k = 1/t(1/[A] -1/[A]o)

k = 1/ 30(1/0.067781 - 1/0.12)

= 1/30 x 6.4200

= 0.21400 M-1s-1

(b) t = 1/k(1/[A] - 1/[A]o)

= 1/0.214(1/0.050 - 1/0.15)

=1/0.214 x 13.33

= 62.3 s

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