'polonium-210 is a radioactive substance with a half-life of 138 days. if a nuclear
facility is handling 310 grams of polonium-210, then how many grams of polonium-
210 will be left in 330 days. round your answer 4 decimal places and remember to
use labels.

Explanation:

Half-life time of a radioactive substance is the time for half of the substance to decay.

Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:

Where:

In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:

Therefore, the amount of polonium-210 that will be left in 330 days is:

or