A radioactive isotope decays at a rate proportional to the amount present at time t and has a half-life of 3.5 hours. There are 250 milligrams of this isotope present initially. What is the value of the proportionality constant k in units of per hour? At what value of time (t) in hours will 35% of the isotope to remain in the sample? How much of the sample in mg will remain after 12 hours?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter30: Nuclear Physics
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A radioactive isotope decays at a rate proportional to the amount present at time t and has a half-life of 3.5 hours. There are 250 milligrams of this isotope present initially. What is the value of the proportionality constant k in units of per hour? At what value of time (t) in hours will 35% of the isotope to remain in the sample? How much of the sample in mg will remain after 12 hours?

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