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In 1960 a New York Times article announced that archeologists confirmed that the Sumeria civilization occupied the valley of Tigres 5900 years ago. Assuming arqueologists used the C-14 technique. Determine the percentage of carbon fourteen found in the sample (respect to the initial). Use as data that the half life of C-14 is 5,600 years.
A 0.526786
B 0.361331
C 0.481774
D 0.790179
The radio active decay process follows the below equation,
where N is the amount present out of N0 when t=0
let at t=t1/2 when the amount becomes half i.e.N0/2
Dividing equation (1) by (2) we get,
this is the relation between half life and amount remaining in time t,
so the percentage of carbon remaining would be,
So the correct answer is option (C).
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