# The half-life of carbon-14 is 5730 years. How long does it take for 3.6 grams of carbon-14 to be reduced to 0?

##### 1 Answer

Mar 31, 2016

It takes an indefinitely long time.

#### Explanation:

For every half-life that passes, the mass of the carbon-14 is reduced by half. Suppose there were

After 1 half-life, the amount of C-14 left is

After 2 half-life, the amount of C-14 left is

After 3 half-life, the amount of C-14 left is

After

Notice that the amount of C-14 left (