Question

The half-life of silver-105 is approximately 41.3 days.

Step 2 of 3: How much of a 12 gram sample of silver-105 would remain after 57 days? Round to three decimal places.
Answer
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Answer 1

Approximately 5.858 grams of the 12 gram sample of silver-105 would remain after 57 days.

Step-by-step explanation:

The half-life of silver-105 is approximately 41.3 days. To find out how much of a 12 gram sample of silver-105 would remain after 57 days, we can use the formula:

Amount remaining = Initial amount * (1/2)^(number of half-lives)

First, we need to determine how many half-lives have occurred in 57 days. Since the half-life is 41.3 days, we can divide 57 by 41.3 to get approximately 1.38 half-lives.

Now, we can use the formula to calculate the amount remaining:

Amount remaining = 12 grams * (1/2)^1.38

Calculating this, we find that approximately 5.858 grams of the sample would remain after 57 days.

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