The half — life of nickel is 96 years. How much of a 30-gram sample is left after 270 years?
1 answer:
The amount of the 30 gram-sample that will remain after 270 years is 6.61 grams
<h3>How to determine the number of half-lives </h3>
We'll begin by obtaining the number of half lives that has elapsed. This can be obtained as follow:
- Half-life (t½) = 96 years
- Time (t) = 270 years
- Number of half-lives (n) =?
n = t / t½
n = 270 / 99
n = 2.8125
<h3>How to determine the amount remaining </h3>
- Original amount (N₀) = 30 grams
- Number of half-lives (n) = 2.8125
- Amount remaining (N) =?
The amount remaing can be obtained as follow:
N = N₀ / 2^n
N = 30 / 2^2.8125
N = 6.61 grams
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