A hiker in Africa discovers a skull that contains 63% of its original amount of C-14.

Mathematics

1 answer:

tester [92]3 years ago

4 0

Answer:

3820 years

Step-by-step explanation:

The age of the skull can be found using carbon-14 by applying the half-life relationship.

Age of skull is given by;

$t=(\frac{In\frac{N}{N0} }{-0.693} )*5730$

where N=63 N₀=100 -0.693=decay factor of carbon and 5730 =half-life of carbon-14, t =age

substitute values in equation

$t=(\frac{In\frac{63}{100} }{-0.693} )*5730\\\\\\t=(\frac{In0.63}{-0.693} )*5730\\\\\\t=(\frac{ -0.4620}{-0.693} )*5730\\\\\\t=(0.6667)*5730\\\\\\t=3820.29\\\\\\t=3820years$

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