3. In some circumstances, it is possible for a reactant to follow "half-order" kinetics, that is, d[A] k[A]¹/2. dt = (a) Find the integrated rate law for a half-order kinetics process, and express it as [A], given as a function of the initial concentration, [A]o, the rate constant, k, and the time, t. (b) Use your integrated rate law to derive an expression for the half-life of a half-order process, then compute the magnitude of the half-life for a process with [A]o = 0.24 M, and k = 0.003 (in appropriate units- this will result in time measured in seconds).
3. In some circumstances, it is possible for a reactant to follow "half-order" kinetics, that is, d[A] k[A]¹/2. dt = (a) Find the integrated rate law for a half-order kinetics process, and express it as [A], given as a function of the initial concentration, [A]o, the rate constant, k, and the time, t. (b) Use your integrated rate law to derive an expression for the half-life of a half-order process, then compute the magnitude of the half-life for a process with [A]o = 0.24 M, and k = 0.003 (in appropriate units- this will result in time measured in seconds).
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![3. In some circumstances, it is possible for a reactant to follow "half-order" kinetics, that is,
d[A]
k[A]¹/2.
dt
=
(a) Find the integrated rate law for a half-order kinetics process, and express it as [A], given
as a function of the initial concentration, [A]o, the rate constant, k, and the time, t.
(b) Use your integrated rate law to derive an expression for the half-life of a half-order
process, then compute the magnitude of the half-life for a process with [A]o = 0.24 M,
and k = 0.003 (in appropriate units- this will result in time measured in seconds).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c924432-5356-4d2a-9799-f03f3a53c4ab%2F16c8308a-29d2-46d4-a381-57bde2bbf529%2F4zd6xh3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. In some circumstances, it is possible for a reactant to follow "half-order" kinetics, that is,
d[A]
k[A]¹/2.
dt
=
(a) Find the integrated rate law for a half-order kinetics process, and express it as [A], given
as a function of the initial concentration, [A]o, the rate constant, k, and the time, t.
(b) Use your integrated rate law to derive an expression for the half-life of a half-order
process, then compute the magnitude of the half-life for a process with [A]o = 0.24 M,
and k = 0.003 (in appropriate units- this will result in time measured in seconds).
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