How much of a radioactive kind of rhodium will be left after 168 minutes if you start with 878,832 grams and the half-life is 56 minutes?

To solve this problem, we need to use the concept of half-life, which is the time it takes for half of a substance to decay.

1. First, we need to determine how many half-lives have passed in 168 minutes. We do this by dividing the total time by the half-life. So, 168 minutes / 56 minutes/half-life = 3 half-lives.

2. Next, we need to calculate how much of the substance remains after each half-life. After one half-life, half of the substance remains. After two half-lives, half of that half remains, or one quarter. After three half-lives, half of the quarter remains, or one eighth.

3. To find out how much of the original 878,832 grams of rhodium remains after 3 half-lives, we multiply the original amount by 1/8 (since one eighth remains after 3 half-lives). So, 878,832 grams * 1/8 = 109,854 grams.

So, after 168 minutes, 109,854 grams of the radioactive rhodium will remain.