The active ingredient in Benadryl Elixir is diphenhydramine hydrochloride, which slowly decomposes while on the shelf. The product should not be used if more than 10.% of the active ingredient has decomposed. If the product was prepared in November 2020 and the degradation process follows first-order kinetics with a half-life of 110 months, determine the expiration date that should be printed on the label of the product.

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter13: Chemical Kinetics
Section: Chapter Questions
Problem 13.77QE
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The active ingredient in Benadryl Elixir is diphenhydramine hydrochloride, which slowly decomposes while on the shelf. The product should not be used if more than 10.% of the active ingredient has decomposed. If the product was prepared in November 2020 and the degradation process follows first-order kinetics with a half-life of 110 months, determine the expiration date that should be printed on the label of the product.

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