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# At a particular temperature and [A]0 = 2.

At a particular temperature and [A]0 = 2.57 10-3 M, concentration versus time data were collected for this reaction, and a plot of 1/[A] versus time resulted in a straight line with a slope value of +3.89 10-2 L/mol · s.
(a) Determine the rate law, the intergrated rate law, and the value of the rate constant for this reaction.
Rate law
Rate = k[A]3

Integrated rate law
1/[A] = kt + 1/[A]0
1/[B] = kt + 1/[B]0
[A]/kt = [B]
kt = [A]/[B]

Rate constant
L/mol · s

(b) Calculate the half-life for this reaction.
s

(c) How much time is required for the concentration of A to decrease to 6.57 10-4 M?
s

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