Answer :
Final answer:
The half-life of astatine-218 is 0.0125 seconds.
Explanation:
The half-life of astatine-218 can be calculated by determining the time required for the activity of a sample to fall to 8.75 percent of its original value. To do this, we can use the formula:
Half-life = (time required * log(2)) / log(original value / final value)
Substituting the given values, we get:
Half-life = (7.03 * log(2)) / log(1 / 0.0875) = 0.0125 seconds
Therefore, the half-life of astatine-218 is 0.0125 seconds.
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