Question

the half-life of carbon-14 is 5,730 years. After 11,460 year, how much of original carbon-14 remains?

Answer 1

Via the half-life equation:

`A_(final)=A_(initial)((1)/(2))^{(t)/(h)}`

Where the time elapse is 11,460 year and the half-life is 5,730 years.

`A_(final)=A_(initial)((1)/(2))^(11460)/(5730) \\\\A_(final)=A_(initial)(1)/(4) \\\\A_(final)=(1)/(4)A_(initial)`

Therefore after 11,460 years the amount of carbon-14 is one fourth (1/4) of the original amount.