Concept explainers
Finding Half-Life If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the half-life of the element.
To find: The half-life of the radioactive element which takes 48 hours to decay from 250 mg to 200 mg.
Answer to Problem 21E
The half-life of the radioactive element which takes 48 hours to decay from 250 mg to 200 mg is 149 hours.
Explanation of Solution
Formula used:
Radioactive Decay model is,
Where,
Calculation:
Substitute 250 for
Simplify the above expression,
The value of
Simplify the above expression,
Thus, the half-life of the radioactive element which takes 48 hours to decay from 250 mg to 200 mg is 149 hours.
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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