Question

Carbon-14 has a half-life of 5,730 years. If a sample contained 70. Ang originally, how much isleft after 17,190 years?

Answer 1

Given data

*The carbon-14 has a half-life is t = 5730 years

*The amount of quantity contained is n = 70 mg

*The given time is T = 17190 years

The expression for the radioactivity decay equation is given as

`N=n(0.5)^{(T)/(t)}`

Substitute the values in the above expression as

`\begin{gathered} N=70(0.5)^{(17190)/(5730)} \\ =8.75\text{ mg} \end{gathered}`