Concept explainers
To Find: The half-life of
Answer to Problem 21E
half-life of
Explanation of Solution
Given information: The radioactive decay of
Concept used: If
Where
Half-life is defined as the time it takes for one-half of the atoms of a radioactive material to disintegrate
Calculation: the differential equation
Dividing by
Multiply by
Initial mass
After time
Integrate both sides
When
the initial mass is
Substituting value of
Half-life is defined as the time it takes for one-half of the atoms of a radioactive material to disintegrate
Let Half-life
And
Substituting value of Half-life and
half-life of
Chapter 7 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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