Concept explainers
To Find: The decay constant
Answer to Problem 22E
The decay constant
Explanation of Solution
Given information: An isotope of neptunium has a half-life of 65 minutes. If the 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
Half-life
And
Substituting value of Half-life and
The decay constant
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic
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