Question

Carbon 14 is used for archaeological carbon dating. Its half-life is 5730 years. How much of a 100 g sample of carbon 14 will be left in 14 years?

Answer 1

99.83 grams

Step-by-step explanation

The function that describes the amount of sample (in grams) after t years of decomposition is:

`C(t)=100\cdot((1)/(2))^{(t)/(5730)}`

To get the amount of carbon 14 after 14 years, we calculate C(14) as following:

`\begin{gathered} C(14)=100\cdot((1)/(2))^{(14)/(5730)} \\ \\ \Rightarrow C(14)=99.83 \end{gathered}`

This way, we'll have 99.83 grams left.