Question

an artifact originally had 16 grams of carbon -14 present. The decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years. how much carbon-14 will be present after 5657 years

Answer 1

`8.115\ \text{g}`

Explanation:

The decay model or the mass remaining after
`t` years have passed is

`A(t)=16e^(-0.00012t)`

Now

`t` = Time taken in years =
`5657\ \text{years}`

`A(5657)=16e^(-0.00012* 5657)`

`\Rightarrow A(5657)=8.115\ \text{g}`

Carbon present after 5657 years is
`8.115\ \text{g}`.