1.A substance A is added at a constant rate r M s-¹ to a reaction vessel, in which it decays by massaction kinetics according to the reactionA2B.Let t be the time in seconds since the start of the reaction, and let [A] and [B] be measured in M.The concentration [A] is described by the ODE(a)(b)(c)d[A]dt= r - k[A].State the differential equation for [B] given by mass action kinetics.dtd[A]Use the Principle of Superposition to find the general solution of the ODE for AWhat values of the arbitrary constant C in your solution from (b) give physically realisticsolutions?(d)Given that the reaction vessel initially contains no A or B, find expressions for [A](t) and [B](t)in terms of t, k and r.

Answered: Image /qna-images/answer/64cbd864-b7f1-4b8e-aac5-3e27ecb30588.jpg

(a) (b) (c) d[B] dt State the differential equation for given by mass action kinetics. Use the Principle of Superposition to find the general solution of the ODE for What values of the arbitrary constant C in your solution from (b) give physically realistic solutions? (d) Given that the reaction vessel initially contains no A or B, find expressions for [A](t) and [B](t) in terms of t, k and r.

(a) (b) (c) d[B] dt State the differential equation for given by mass action kinetics. Use the Principle of Superposition to find the general solution of the ODE for What values of the arbitrary constant C in your solution from (b) give physically realistic solutions? (d) Given that the reaction vessel initially contains no A or B, find expressions for [A](t) and [B](t) in terms of t, k and r.

Chemistry: An Atoms First Approach

2nd Edition

ISBN:9781305079243

Author:Steven S. Zumdahl, Susan A. Zumdahl

Publisher:Steven S. Zumdahl, Susan A. Zumdahl

Chapter11: Chemical Kinetics

Section: Chapter Questions

Problem 5ALQ: Consider the following statements: In general, the rate of a chemical reaction increases a bit at...

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