How much of a radioactive kind of promethium will be left after 20 days if you start with 9,056 grams and the half-life is 5 days? square grams

## Step 1The problem involves the concept of half-life, which is a term used in nuclear physics to describe the time it takes for half of the atoms in a sample to decay. In this case, the half-life of the radioactive substance, promethium, is given as 5 days. This means that every 5 days, half of the remaining promethium will decay.## Step 2The problem also provides the initial amount of promethium, which is 9,056 grams. We are asked to find out how much of this will be left after 20 days.## Step 3To solve this, we need to calculate how many half-lives have passed in 20 days. Since each half-life is 5 days, we divide 20 by 5 to get 4 half-lives.## Step 4Next, we need to calculate how much promethium will be left after each half-life. After one half-life, half of the original amount will remain. So, after one half-life, we have grams.## Step 5After two half-lives, we have grams.## Step 6After three half-lives, we have grams.## Step 7Finally, after four half-lives, we have grams.