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What fraction of a Sr-90 sample remains unchanged after 97.3 years

What fraction of a Sr-90 sample remains unchanged after 97.3 years

1 Answers

The answer is 1/8.Half-life is the time required for the amount of a sample to half its value.To calculate this, we will use the following formulas:1. ,where:n - a number of half-livesx - a remained fraction of a sample2. where: - half-lifet - total time elapsedn - a number of half-livesThe half-life of Sr-90 is 28.8 years.So, we know:t = 87.3 years = 28.8 years We need:n = ?x = ?We could first use the second equation, to calculate n:If:,Then: ⇒ ⇒ ⇒ n ≈ 3Now we can use the first equation to calculate the remained amount of the sample.⇒ ⇒... Show More

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