Reaction Kinetics and Asymptotic Behavior Suppose the formation of a product P depends on the single reactant A and a catalyst C via the following rate law: d[P] dt = k₁ [C][A]² k₂ + k3 [A] (a) At the beginning of the reaction, [A] is very large. What is the reaction order with respect to the reactant A in the abundance of A?
Reaction Kinetics and Asymptotic Behavior Suppose the formation of a product P depends on the single reactant A and a catalyst C via the following rate law: d[P] dt = k₁ [C][A]² k₂ + k3 [A] (a) At the beginning of the reaction, [A] is very large. What is the reaction order with respect to the reactant A in the abundance of A?
Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter11: Rate Of Reaction
Section: Chapter Questions
Problem 35QAP: Azomethane decomposes into nitrogen and ethane at high temperatures according to the following...
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![2. Reaction Kinetics and Asymptotic Behavior
Suppose the formation of a product P depends on the single reactant A and a catalyst C via the following
rate law:
d[P]
dt
=
k₁[C] [A]²
k2 + k3 [A]
(a) At the beginning of the reaction, [A] is very large. What is the reaction order with respect to the
reactant A in the abundance of A?
(b) Towards the end of the reaction, the molarity of A is much smaller compared to the initial time.
What is the reaction order with respect to A as the reaction is near completion?
(c) Open the Desmos Calculator https://www.desmos.com/calculator on your laptop or cellphone,
numerically verify your asymptotic analysis in (a) and (b). To do so, take the rate constants
k₁=k₂= k3 = 1, and suppose [C] is fixed throughout the reaction. Write down what values you
used in your calculations. Did the calculations support your analysis?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1d592a5-ec96-4b1d-bddf-23e27014debe%2F21c20bb2-fef2-4d83-96cf-6d55ea3a4566%2Fp9ya9eb_processed.png&w=3840&q=75)
Transcribed Image Text:2. Reaction Kinetics and Asymptotic Behavior
Suppose the formation of a product P depends on the single reactant A and a catalyst C via the following
rate law:
d[P]
dt
=
k₁[C] [A]²
k2 + k3 [A]
(a) At the beginning of the reaction, [A] is very large. What is the reaction order with respect to the
reactant A in the abundance of A?
(b) Towards the end of the reaction, the molarity of A is much smaller compared to the initial time.
What is the reaction order with respect to A as the reaction is near completion?
(c) Open the Desmos Calculator https://www.desmos.com/calculator on your laptop or cellphone,
numerically verify your asymptotic analysis in (a) and (b). To do so, take the rate constants
k₁=k₂= k3 = 1, and suppose [C] is fixed throughout the reaction. Write down what values you
used in your calculations. Did the calculations support your analysis?
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