Question

The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass. Starting with 210 grams of a

radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram

Answer 1

3 grams will be left after 6 half-lives

Explanation:

Half-live:

Time it takes for the substance to be reduced by hall.

After n half lives:

The amount remaing is:

`A(n) = A(0)(0.5)^(n)`

In which A(0) is the initial amount and n is the number of half-lives.

Starting with 210 grams of a radioactive isotope, how much will be left after 6 half-lives?

This is A(6) when A(0) = 210. So

`A(n) = A(0)(0.5)^(n)`

`A(6) = 210(0.5)^(6) = 3.3`

Rounding to the nearest gram

3 grams will be left after 6 half-lives