To calculate the remaining amount of Strontium-90 after a given time, we can use the concept of half-life. The half-life of Strontium-90 is 38.1 years, which means that after every 38.1 years, half of the original amount of Strontium-90 will decay.
Given that 100 grams of Strontium-90 undergoes natural decay over 152.2 years, we can calculate the remaining amount as follows:
Number of half-lives = 152.2 years / 38.1 years = 4
After each half-life, the remaining amount is halved. Therefore, after four half-lives, the remaining amount will be:
Remaining amount = 100 grams * (1/2)^4 = 100 grams * (1/16) = 6.25 grams
So, after 152.2 years, approximately 6.25 grams of Strontium-90 will remain.