A particular reaction decomposes with a half-life of 127s when its initial conce

Question

A particular reaction decomposes with a half-life of 127s when its initial concentration is 0.268M. The same reactant decomposes with a half-life of 233s when its initial concentration is 0.146M. Determine the reaction order. What is the value and the unit of the rate constant?

Question 8 of 31 Map d EA Sapling Learning macmillan learning A particular reactant decomposes with a half-life of 127 s when its initial concentration is 0.268 M. The same reactant decomposes with a half-life of 233 s when its initial concentration is 0.146 M. Determine the reaction order. What is the value and unit of the rate constant for this reaction? Number Select answer B A Previous 3 Give Up & View Solution Check Answer Next Exit Hint

Explanation / Answer

(t1/2)1 = 127 and a1 = 0.268 M

(t1/2)2 = 233 and a2 = 0.146 M

(t1/2)1/(t1/2)2 = (a2/a1)^n-1 (where n = order of reaction)

127/233 = (0.146/0.268)^(n-1)

n = order of reaction = 2

t1/2 = 1/(k * concentration of compound)

127 = 1/(k * 0.146)

K = rate constant = 0.05393

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