General Chemistry 10th Edition

Published by Cengage Learning
ISBN 10: 1-28505-137-8
ISBN 13: 978-1-28505-137-6

Chapter 13 - Rates of Reaction - Questions and Problems - Page 577: 13.9

Answer

75 sec

Work Step by Step

The given reaction is a first order reaction and as it takes 25 sec for it to become half of its concentration thus the half-life of this reaction. t1/2 = 25 for the initial concentration to become 1/8th it requires 1/2 to be multiplied by 1/2 another 2 times that means we are reducing the initial concentration to 1/8th. thus 12 * 12 * 12 = 18 thus the time = 3*25sec = 75 sec the time for 14 to become 18 is just halving the concentration thus it will be just the half-life. that is 25 sec.
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