SOLUTION: After 20 minutes, an initial sample of 192 grams of a radioactive element decays to 6 grams. Determine the half-life of the element. this is a grade 11 function, i just want to

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Question 1162876: After 20 minutes, an initial sample of 192 grams of a radioactive element decays to 6 grams. Determine the half-life of the element.
this is a grade 11 function, i just want to know how to answer it with the equations and how to solve.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
P=Po(1/2)^t
P/Po=(1/2)^t
6/192=(1/32)=(1/2)^t
log 2 of both sides
-5=t(-1)
t=5 half-lives and that was over 20 minutes. The half-life is 4 minutes
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
After 20 minutes, an initial sample of 192 grams of a radioactive element decays to 6 grams. Determine the half-life of the element.

this is a grade 11 question, i just want to know how to answer it with the equations and how to solve.
~~~~~~~~~~~~~~~~ 


 = 32 = .


5 half lives in 20 minutes.


One half-life period is   = 4 minutes.


Consider it as a joke Math problem.


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On radioactive decay, see the lesson
    - Radioactive decay problems
in this site.



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