Final answer:
To find the amount of Pd-100 remaining after 18.2 days given an initial amount of 750 grams and a half-life of 3.6 days, we can use the formula for radioactive decay. By substituting the values into the formula and calculating the expression, we find that approximately 93.75 grams of Pd-100 would remain.
Step-by-step explanation:
To solve this problem, we can use the formula for radioactive decay: amount remaining = initial amount × (1/2)^(t/half-life). In this case, the initial amount is 750 grams, the half-life is 3.6 days, and the time is 18.2 days. Substituting these values into the formula:
amount remaining = 750 grams × (1/2)^(18.2/3.6)
Calculating this expression, we find that the amount remaining is approximately 93.75 grams. Therefore, the correct answer is option a) 93.75 g.