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Chemistry: The Central Science | 13th Edition | ISBN: 9780321910417 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus
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Answer: Americium-241 is used in smoke detectors. It has a

Chapter , Problem 99AE

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QUESTION:

Problem 99AE

Americium-241 is used in smoke detectors. It has a first-order rate constant for radioactive decay of k = 1.6 x 10-3 yr-1. By contrast, iodine-125, which is used to test for thyroid functioning, has a rate constant for radioactive decay of k = 0.011 day-1, (a) What are the half-lives of these two isotopes? (b) Which one decays at a faster rate? (c) How much of a 1.00-mg sample of each isotope remains after 3 half-lives? (d) How much of a 1.00-mg sample of each isotope remains after 4 days?

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QUESTION:

Problem 99AE

Americium-241 is used in smoke detectors. It has a first-order rate constant for radioactive decay of k = 1.6 x 10-3 yr-1. By contrast, iodine-125, which is used to test for thyroid functioning, has a rate constant for radioactive decay of k = 0.011 day-1, (a) What are the half-lives of these two isotopes? (b) Which one decays at a faster rate? (c) How much of a 1.00-mg sample of each isotope remains after 3 half-lives? (d) How much of a 1.00-mg sample of each isotope remains after 4 days?

ANSWER:

Step 1 of 5

As it is a first-order reaction, the rate constant and half-life period have a relationship as follows:

                                                               ....................(1)

 

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