Final answer:
To find out how much radioactive Iodine is left after 40 days, we need to use the concept of half-life. The half-life of radioactive Iodine is 8.0 days, which means that every 8.0 days, half of the sample decays. After 40 days, there will be 1.25 grams of radioactive Iodine remaining.
Step-by-step explanation:
To find out how much radioactive Iodine is left after 40 days, we need to use the concept of half-life. The half-life of radioactive Iodine is given as 8.0 days, which means that every 8.0 days, half of the sample decays.
Since 40 days is equal to 5 half-lives (40 days / 8.0 days per half-life), we can calculate the amount of radioactive Iodine remaining using the formula: Remaining amount = Initial amount * (1/2)^n, where n is the number of half-lives.
Substituting the values into the formula, we have: Remaining amount = 40g * (1/2)^5 = 40g * (1/32) = 1.25g.
Therefore, after 40 days, there will be 1.25 grams of radioactive Iodine remaining.