A) Calculate the half-life of the antimicrobial agent at 25°C. Be sure to include the units. B) The activation energy for the degradation reaction is 9.2 kJ mol-'. Sup- pose you store your sunscreen in the locker room at the gym, which has an average temperature of 35°C. What is the half-life of the an- timicrobial agent in the conditions at the gym?

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter11: Chemical Kinetics: Rates Of Reactions
Section: Chapter Questions
Problem 112QRT
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Cosmetics have often antimicrobial agents, such as methyl paraben, to prevent growth
of mold and bacteria. Suppose the antimicrobial agent in a tube of sunscreen degrades
with first-order kinetics, with a rate constant of 2.31 x 10-4 hr¬ at 25°C.
A) Calculate the half-life of the antimicrobial agent at 25°C. Be sure to
include the units.
B) The activation energy for the degradation reaction is 9.2 kJ mol-1. Sup-
pose you store your sunscreen in the locker room at the gym, which
has an average temperature of 35°C. What is the half-life of the an-
timicrobial agent in the conditions at the gym?
Transcribed Image Text:Cosmetics have often antimicrobial agents, such as methyl paraben, to prevent growth of mold and bacteria. Suppose the antimicrobial agent in a tube of sunscreen degrades with first-order kinetics, with a rate constant of 2.31 x 10-4 hr¬ at 25°C. A) Calculate the half-life of the antimicrobial agent at 25°C. Be sure to include the units. B) The activation energy for the degradation reaction is 9.2 kJ mol-1. Sup- pose you store your sunscreen in the locker room at the gym, which has an average temperature of 35°C. What is the half-life of the an- timicrobial agent in the conditions at the gym?
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