RATE CONSTANT

Resolved Question

Chemistry - rate of constant (k) problem?
For a reaction aA → products, the initial concentration of A, [A]0 = 6.6 M, and the first half-life is 17 s and the second half-life is 34 s.
What is the numerical value of the rate constant k?

by joeyeehu...

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Chemistry
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You will notice that the second half life is two times the duration of the first half life. This is the characteristic of second order reaction.

The second order equation is 1/[A] = kt + 1/[A]o

At first half life t', [A] = [A]o/2
substitute into the equation

2/[A]o = kt' + 1/[A]o

kt' = 1/[A]o

k (17) = 1/6.6

k = 8.91 x 10^-3