# A sample of wood that originally contained 100 grams ofcarbon-14 now contains only 25 grams of Carbon-14. Approximately how many years ago was this sample part of a living tree?

Jan 1, 2018

The answer is $= 11460 \text{years}$

#### Explanation:

The half life of $C - 14$ is ${t}_{\frac{1}{2}} = 5730 \text{years}$

This means that if you start with a sample of $100 g$, only

$50 g$ will be left in $5730 \text{years}$

Here,

Only $25 g$ is left , therefore the

number of years is $= 5730 \cdot 2 = 11460 \text{years}$