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In a living organism, the decay of C-14 produces 15.3 disintegrations per minute per gram of carbon. The half-life of C-14 is 5730 years. A 3.4 g sample of bone has 14.3 disintegrations per minute. How old is the bone sample in years

Respuesta :

anvitanvar032

The bone sample is 27,140 years old.

First, calculate the ratio of disintegrations per minute per gram of the mammoth with that of living organisms.

Ratio = 0.50dis/mingC / 15.3dis/mingC

Ratio = 0.0327

The ratio is equal to

Ratio = 2^-(t / t_0.5)

log(Ratio) = -(t / t_0.5) * log2

t = -t_0.5 * log(Ratio) / log2

= -5730yr * log0.0327 / log2

= -5730yr * (-1.4257) / 0.30103

t = 27,140years

learn more about age of bone sample here: https://brainly.com/question/15173596

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