SOLUTION: If 35mg of a radioactive element decays to 10mg in only 24 hours, what is its half life?
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Question 1111909: If 35mg of a radioactive element decays to 10mg in only 24 hours, what is its half life?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
:
If 35 mg of a radioactive element decays to 10mg in only 24 hours,
what is its half life?
:
the radioactive decay formula;
A = Ao*2^(-t/h)
where:
A = amt remain after t time
Ao = initial amt of the substance
t = time of decay
h = half-life of substance
:
A = 10
A = 35
t = 24 hrs
find h
35*2^(-24/h) = 10
2^(-24/h) = 10/35
2^(-24/h) = 2/7
log equiv of exponents
log(2) =
=
using the calc
= -1.807355
h =
h = +13.28 hrs is the half life of the substance
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