Answer:
1148 grams
Explanation:
You want to know the amount remaining of 4592 grams of scandium after 168 days if its half-life is 84 days.
Half-life
The half-life period is the time it takes for 1/2 of the amount to decay. After 84 days, the remaining amount is (4592 g)/2 = 2296 g. After 84 more days, a total of 168 days, the remaining amount is (2296 g)/2 = 1148 g.
1148 grams of the scandium will remain after 168 days.
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Additional comment
You can write an equation for the remaining amount:
remaining = (initial amount)·(1/2)^(t/(half-life))
remaining = 4592(1/2)^(t/84)
Then for t=168, this is ...
remaining = 4592(1/2)^(168/84) = 4592(1/2)^2 = 4592(1/4) = 1148
Units are grams and days.
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