Anthropologists can estimate the age of a bone or other sample of organic matter by its carbon-14 content. The carbon-14 in a living organism is constant until the organism dies, after which carbon-14 decays with first-order kinetics and a half-life of 5730 years. Suppose a bone from an ancient human contains 14.0 %% of the CC-14 found in living organisms.

Respuesta :

Suppose an ancient human bone contains 14.0% of the CC-14 found in living organisms, it is 9.855 years old.

Carbon 14

Carbon 14 is formed from the collision between cosmic rays and nitrogen 14, found in the Earth's atmosphere.

This carbon isotope easily bonds with oxygen, forming carbon dioxide (14CO2), which is absorbed by plants. When a living being dies, the amount of carbon 14 decreases, which implies radioactive decay.

Calculation

Calculation used, where 86 is the percentage, and 5730 is 50% of the carbon life.

[tex]\frac{5730}{x} =\frac{50}{86}[/tex]

With this information, we can conclude that when 14% of carbon 14 is found in a material, it means that a living being died 9855 years ago.

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