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isatas
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  • 16-02-2017
  • Chemistry
Answered

Calcium-47, used to evaluated bone metabolism, has a half-life of 4.5days: How many milligrams of a 16mg sample of calcium-47 remain after 18 days?

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 27-02-2017

For this problem, we use the formula for
radioactive decay which is expressed as follows:


An = Aoe^-kt


where An is the amount left after time t, Ao is
the initial amount and k is a constant. 


We calculate as follows:


An = Aoe^-kt

0.5 = e^-k(4.5)

k = 0.1540


An = Aoe^-kt

An = 16e^-0.1540(18)
An = 1.00 mg

Hope this answers the question. Have a nice day.

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