4. Consider three hypothetical reactions of the type A → products. One of the reactions is zeroth order, one is first order, and one is second order. If they all have the same numerical value of the rate constant k (in units of M s S ¹, and M¹s¹, -1 -1 2 respectively), what must be the initial concentration [A]o if the half-lives are equal for a) the zeroth- and first-order reactions, b) the zeroth- and second-order reactions, and c) the first- and second-order reactions.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter12: Chemical Kinetics
Section: Chapter Questions
Problem 110CP: Consider a reaction of the type aA products, in which the rate law is found to he rate = k[A]3...
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4. Consider three hypothetical reactions of the type A → products. One of the reactions
is zeroth order, one is first order, and one is second order. If they all have the same
numerical value of the rate constant k (in units of M s ¹, s and M¹s¹,
-1 -1
9
respectively), what must be the initial concentration [A]o if the half-lives are equal for
a) the zeroth- and first-order reactions, b) the zeroth- and second-order reactions, and
c) the first- and second-order reactions.
Transcribed Image Text:4. Consider three hypothetical reactions of the type A → products. One of the reactions is zeroth order, one is first order, and one is second order. If they all have the same numerical value of the rate constant k (in units of M s ¹, s and M¹s¹, -1 -1 9 respectively), what must be the initial concentration [A]o if the half-lives are equal for a) the zeroth- and first-order reactions, b) the zeroth- and second-order reactions, and c) the first- and second-order reactions.
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