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Half-Life
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What is a half-life? A half-life is the amount of time that it takes half of an amount of a substance to undergo radioactive decay.
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How to solve half-life problems:
Find the half-life in the problem. Determine the total number of half-lives that has occurred. Amount of time elapsed ÷half-life = # of half-lives Divide the amount of chemical by 2 for each half life.
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Sample Problem One: Phosphorous-32 has a half life of 14.3 days. How much of a 50g sample of P-32 will be left after 42.9 days?
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Answer: 6.25g Half-life = 14.3days # of half-lives = 42.9 ÷ 14.3
Divide 50g by 2 three times 50g ÷ 2 = 25g 25g ÷2 = 12.5g 12.5g ÷2 = 6.25g
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Sample Problem Two: Rosium has a half-life of 25 seconds. How much of a 17g sample will be left after 50 seconds?
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Answer: 4.25g Half-Life = 25 seconds
# of half-lives = 50seconds ÷ 25 seconds = 2 half lives Divide 17g by 2 twice 17g ÷ 2 = 8.5g 8.5g ÷ 2 = 4.25g
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