SOLUTION: An artifact was found and tested for its carbon-14 content. If 82% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has
Algebra.Com
Question 849361: An artifact was found and tested for its carbon-14 content. If 82% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An artifact was found and tested for its carbon-14 content.\
If 82% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)
:
The radioactive decay formula: A = Ao*2^(-t/h) where:
A = amt remaining after t time
Ao = initial amt (t=0)
t = time of decay
h = half-life of substance
:
Let Ao = 1 then A = .82
2^(-t/5730) = .82
using common logs
log(2) = log(.83)
=
= -.2863
t = -5730 * -.2863
t = 1640 ~ 1600 yrs
RELATED QUESTIONS
an artifact was found and tested for its carbon-14 content. If 87% of the original... (answered by stanbon)
An artifact was found and tested for its carbon-14 content. If 79% of the original... (answered by stanbon)
An artifact was found and tested for its carbon-14 content. If 72% of the original... (answered by ankor@dixie-net.com)
An artifact was found and tested for its carbon-14 content. If 77% of the original... (answered by ankor@dixie-net.com)
an artifact was found and tested for its carbon-14 content. If 81% of the original... (answered by ankor@dixie-net.com)
Will you please answer this question:
An artifact was found and tested for its... (answered by Theo)
an artifact was found and tested for its carbon-14 content. if 77% of the original... (answered by ccs2011)
An artifact was found and tested for its carbon-14 content. If 71% of the original... (answered by ankor@dixie-net.com)
An artifact was found and tested for its carbon-14 content. If 84% of the original... (answered by stanbon)