# Isotope half-life

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A certain isotope has a half-life of 5 years. A sample of the isotope has...

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##### Solution Summary

This is a problem regarding differential equations and half-life of an isotope.

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Although radioactive decay involves discrete events of nuclear disintegration, the number of events is so large that it can be treated like a continuum and the methods of calculus employed to predict the behavior. The result from the decay probability can be put in the differential form:

where = decay ...

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