Final answer:
The half-life period of a radioactive element is the time it takes for half of the radioactive atoms to decay and form a new element. After 80.0 weeks, one gram of the element will reduce to 0.0325 grams.
Step-by-step explanation:
The half-life period of a radioactive element is the time it takes for half of the radioactive atoms to decay and form a new element. In this case, the half-life is 20.0 weeks. After 80.0 weeks, the amount of the element remaining can be calculated using the formula:
Amount remaining = initial amount x (1/2)(time elapsed / half-life)
Using this formula, we can calculate the amount remaining to be 0.0325 grams.