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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 & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter25: Nuclear Chemistry
Section25.4: Rates Of Nuclear Decay
Problem 25.5CYU
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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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