Living matter has a carbon-14 activity of about 16 counts/min per gram of carbon. What is the age of an artifact for of which the carbon-14 activity is 8 counts/min per gram carbon?

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Living matter has a carbon-14 activity of about 16 counts/min per gram of carbon. What is the age of an artifact for of which the carbon-14 activity is 8 counts/min per gram carbon?

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Answer 1 · 2017-02-15T12:03:28

$16 counts per minute x (\frac{1}{2}) = 8 counts per minute x (\frac{1}{2}) = 4 counts per minute.$ $"16 counts per minute x" (1/2) = "8 counts per minute x" (1/2) = 4 "counts per minute."$
$It takes two half-lives to have a decay rate of 4 counts per minute.$ $"It takes two half-lives to have a decay rate of 4 counts per minute."$
$The half-live of carbon-14 is 5730 years.$ $"The half-live of carbon-14 is 5730 years. "$
$5730 years x 2 = 11,460 years old.$ $"5730 years x 2 = 11,460 years old. "$

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Living matter has a carbon-14 activity of about 16 counts/min per gram of carbon. What is the age of an artifact for of which the carbon-14 activity is 8 counts/min per gram carbon?

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