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Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope lead-214, k is 2.59 x 10-2 minutes. If the original amount of lead-214 in a sample is 31.4 mg, how much time is needed for the amount of lead-214 that remains to fall to 14.6 mg? minutes

Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope lead-214, k is 2.59 x 10-2 minutes. If the original amount of lead-214 in a sample is 31.4 mg, how much time is needed for the amount of lead-214 that remains to fall to 14.6 mg? minutes

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope lead-214, k is 2.59 x 10- minutes. If the original amount of lead-214 in a sample is 31.4 mg, how much time is needed for the amount of lead-214 that remains to fall to 14.6 mg? minutes
Transcribed Image Text:Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope lead-214, k is 2.59 x 10- minutes. If the original amount of lead-214 in a sample is 31.4 mg, how much time is needed for the amount of lead-214 that remains to fall to 14.6 mg? minutes
Expert Solution
Step 1

Given:

  • The original amount of lead-214 = 31.4 mg
  • The final amount of lead-214 = 14.6 mg
  • Rate constant = 2.59×10-2 minutes-1
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