SOLUTION: The half-life of 234U, uranium-234, is 2.52 multiplied by 105 yr. If 97.7% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has
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Question 577777: The half-life of 234U, uranium-234, is 2.52 multiplied by 105 yr. If 97.7% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?
Please make this simple. Thanks.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The half-life of 234U, uranium-234, is 2.52 multiplied by 105 yr.
If 97.7% of the uranium in the original sample is present,
what length of time (to the nearest thousand years) has elapsed?
:
The radioactive decay formula: A = Ao*2^(-t/h) where:
A = resulting amt after t time
Ao = initial amt (t=0)
h = half-life of substance
t = time in yrs
:
I think you mean the half-life of uranium-234 is: 2.52(10^5) yrs
Let Ao = 1,
A = .977
find t
:
1*2^[-t/2.52(10^5)] = .977
using logs
log equiv of exponents
*log(2) = log(.977)
:
=
using a calc
= -.033569
t =
:
t = +8459.5 ~ 8000 yrs to the nearest thousand
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