The half-life of a radioactive kind of mercury is 64 hours. If you start with 93,568 grams of it, how much will be left after 320 hours?

Sure, here's how you can solve this problem:

1. First, you need to determine how many half-lives have passed in 320 hours. You do this by dividing the total time (320 hours) by the length of the half-life (64 hours). So, 320 ÷ 64 = 5. This means that 5 half-lives have passed.

2. Next, you need to calculate how much of the mercury remains after each half-life. After one half-life, half of the original amount remains. After two half-lives, half of the remaining amount remains, and so on.

3. So, after 5 half-lives, the amount of mercury left would be 93,568 grams * (1/2)^5 = 93,568 grams * 1/32 = 2,924 grams.

So, after 320 hours, there would be approximately 2,924 grams of the radioactive mercury left.