Pace left home at 8 AM to spend the day at an amusement park. He arrived at the park, which was 150 km from his house, at 10 AM.
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Answer:
- 0.09 % of the original radioactive nucllde its left after 10 half-lives
- It will take 241,100 years for 10 half-lives of plutonium-239 to pass.
Explanation:
The equation for radioactive decay its:
,
where N(t) its quantity of material at time t, its the initial quantity of material and
its the mean lifetime of the radioactive element.
The half-life its the time at which the quantity of material its the half of the initial value, so, we can find:
so:
So, after 10 half-lives, we got:
So, we got that a 0.09 % of the original radioactive nucllde its left.
Putonioum-239 has a half-life of 24,110 years. So, 10 half-life will take to pass
It will take 241,100 years for 10 half-lives of plutonium-239 to pass.