Question

How many grams of americium-241 will remain after 1,729 years if you start with 120.0 grams? The half-life for americium-241 decay is 432.25 years.

A.7.5 g
B.15 g
C.30 g
D.480 g

Answer 1

To calculate the remaining mass of americium-241 after a certain time, use the formula: Remaining mass = Initial mass * (1/2)^(time elapsed / half-life). Substitute the given values into the formula to find the answer.

Step-by-step explanation:

To determine how many grams of americium-241 will remain after 1,729 years, we can use the formula:

Remaining mass = Initial mass * (1/2)(time elapsed / half-life)

Given that the initial mass is 120.0 grams and the half-life is 432.25 years, we can substitute these values into the formula:

Remaining mass = 120.0 * (1/2)(1729 / 432.25)

Solving this equation will give us the answer.