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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 & Chemical Reactivity
Chemistry & Chemical Reactivity
9th Edition
ISBN:9781133949640
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter14: Chemical Kinetics: The Rates Of Chemical Reactions
Section: Chapter Questions
Problem 86IL: The acid-catalyzed iodination of acetone CH3COCH3(aq) + I2(aq) CH3COCH2I(aq) + HI(aq) is a common...
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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?
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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