Final answer:
To determine the remaining amount of a 500.0 mg sample of 131i after 24 hours, we can use the concept of half-life. By calculating the number of half-lives that have passed and using the formula A = A0 * (1/2)^(n), we find that approximately 499.57 mg of the sample remains.
Step-by-step explanation:
To determine how much of the 500.0 mg sample remains after 24 hours, we need to use the concept of half-life. The half-life of 131i is 0.220 years, which is equivalent to 0.220 x 365 days.
First, we need to convert 24 hours to days by dividing it by 24. So, 24 hours = 24/24 = 1 day.
Next, we divide 1 day by the half-life in days to find the number of half-lives that have passed. This is calculated as 1 day / (0.220 x 365 days) = 0.00274 half-lives.
To find the remaining amount of the sample, we use the formula A = A0 * (1/2)^(n), where A is the remaining amount, A0 is the initial amount, and n is the number of half-lives. Plugging in the values, we get A = 500.0 mg * (1/2)^(0.00274) = 499.57 mg.