SOLUTION: The half-life of 234U, uranium-234, is 2.52 105 yr. If 98.2% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?
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Question 519070: The half-life of 234U, uranium-234, is 2.52 105 yr. If 98.2% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?
explain in deatil how to get this solved?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I think you mean
The half-life of 234U, uranium-234, is 2.52(10^5) yrs.
:
If 98.2% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?
:
The half-life formula: A = Ao*2(-t/h)
where:
A = resulting amt after t yrs
Ao = initial amt
h = half-life of substance
t = time of decay
:
Let initial amt; Ao = 100
A = 98.2, resulting amt
h = 2.52(10^5) yrs
find t
:
100*2^(-t/(2.52(10^5)) = 98.2
:
2^ =
:
2^ = .982
:
*ln(2) = ln(.982)
:
=
:
= -.0262
:
t = 6,603.68 yrs
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