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Plutonium-239 (t1/2=2.41脳104yr)represents a serious nuclear waste hazard. If seven half-lives are required to reach a tolerable level of radioactivity, how long must 239Pube stored?

Short Answer

Expert verified

The amount of time that plutonium-239 needs to be stored is1.687脳105years

Step by step solution

01

Half-life

The half-life of a radioactive substance indicates the time taken by it to reach the half of its amount. The radioactive decay follows the first order kinetics.

02

Calculation

- Half-life of plutonium-239 ist1/2=2.41脳104yr

- In order to reach a tolerable level of radioactivity, 7 half-lives are required.

Therefore, the amount of time that plutonium- needs to be stored is

Time=t1/2脳7=2.41脳104测谤脳7=1.687脳105yr

Hence, the amount of time that plutonium239- needs to be stored is1.687脳105years

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