If the mass of a sample of radioactive cesium-137 decays from 71.9 milligrams to 20.8 milligrams in 55.0 years, what is the half-life of cesium-137?

Introductory Chemistry For Today
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Chapter10: Radioactivity And Nuclear Processes
Section: Chapter Questions
Problem 10.76E
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If the mass of a sample of radioactive cesium-137 decays from 71.9 milligrams to 20.8 milligrams in 55.0 years, what is the half-life of cesium-137?

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Step 1

The integrated rate law expression for the first-order kinetics is:

Chemistry homework question answer, step 1, image 1

Half-life relates to the rate constant, k (for first-order kinetics) as:

Chemistry homework question answer, step 1, image 2

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