Element X decays radioactively with a half life of 13 minutes. If there are 560 grams
1 answer:
The time taken for the element X to decay from 560 grams to 150 grams is 24.7 mins
<h3>How to determine the number of half-lives </h3>
- Original amount (N₀) = 560 g
- Amount remaining (N) = 150 g
- Number of half-lives (n) =?
2ⁿ = N₀ / N
2ⁿ = 560 / 150
2ⁿ = 3.73
Take the log of both side
Log 2ⁿ = Log 3.73
nLog 2 = Log 3.73
Divide both side by Log 2
n = Log 3.73 / Log 2
n = 1.9
<h3>How to determine the time </h3>
- Number of half-lives (n) = 1.9
- Half-life (t½) = 13 mins
t = n × t½
t = 1.9 × 13
t = 24.7 mins
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