assume you have a 500 g sample of a radioactive isotope with a half-life of 100 years. fill in the table showing how many grams of material will remain after the indicated time has passed.

8.10 hours.

Explanation:

You start with 500.0g.

After the first half-life, you have 250.0g.

After the second, you have 125.0g.

After the third, you have 62.50g.

Therefore, it takes three half-lives to decay to 62.50g.

Therefore, the elapsed time must be triple the length of one half-life.

24.3

3

=

8.10

, so it is 8.10 hours.

8.10 hours is the answer