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Answer :
Answer:
Explanation:
To determine how much of a 96g sample of gold-198 will be left after 8.1 days, we can use the concept of half-life.
1. Calculate the number of half-lives that have occurred in 8.1 days.
Half-life = 2.7 days
Number of half-lives = 8.1 days / 2.7 days = 3 half-lives
2. Calculate the remaining fraction of gold-198 after 3 half-lives.
Each half-life reduces the quantity by half, so after 3 half-lives, the remaining fraction is (1/2) * (1/2) * (1/2) = 1/8.
3. Multiply the remaining fraction by the initial sample weight of 96g to find the remaining weight.
Remaining weight = (1/8) * 96g = 12g
Therefore, after 8.1 days, only 12g of the 96g sample of gold-198 will be left.
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