3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.

Chemistry & Chemical Reactivity
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Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
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Chapter25: Nuclear Chemistry
Section25.4: Rates Of Nuclear Decay
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3. A certain radioactive material is known to decay at a rate proportional to the amount
present. If initially there are 100 milligrams of the material present and if after three
years it is observed that 8 percent of the original mass has decayed, find (a) an
expression for the mass at any time t, (b) the time necessary for 20 percent of the
original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the
amount of time for the radioactive material to decay one-half of the original amount.
Transcribed Image Text:3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.
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