A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 milligrams of the material present and after two hours it is observed that the material has lost 20% of its original mass, find (a) an expression for the mass of the material remaining at any time , (b) the mass of the material after five hours; and (c) the time at which the material has decayed to one half of its initial mass.
A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 milligrams of the material present and after two hours it is observed that the material has lost 20% of its original mass, find (a) an expression for the mass of the material remaining at any time , (b) the mass of the material after five hours; and (c) the time at which the material has decayed to one half of its initial mass.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. A certain radioactive material is known to decay at a rate proportional to the amount
present. If initially there is 50 milligrams of the material present and after two hours
it is observed that the material has lost 20% of its original mass, find (a) an
expression for the mass of the material remaining at any time , (b) the mass of the
material after five hours; and (c) the time at which the material has decayed to one
half of its initial mass.
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