SOLUTION: If 35mg of a radioactive element decays to 10mg in only 24 hours, what is its half life?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If 35mg of a radioactive element decays to 10mg in only 24 hours, what is its half life?      Log On


   



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) About Me  (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
-24%2Fhlog(2) = log%282%2F7%29
-24%2Fh = log%282%2F7%29%2Flog2%29
using the calc
-24%2Fh = -1.807355
h = %28-24%29%2F%28-1.807355%29
h = +13.28 hrs is the half life of the substance