Plutonium has a half-life of 8×10¹ years. How long will it take for 5 g of plutonium to decay into 1 g.

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Plutonium has a half-life of 8×107 years. How long will it take for 5 g of plutonium to
decay into 1 g.
Transcribed Image Text:Plutonium has a half-life of 8×107 years. How long will it take for 5 g of plutonium to decay into 1 g.
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Concept and Principle:
  • Radioactive decay takes place when an unstable nucleus becomes stable. The instability arises due to a mismatch between the number of neutrons and protons. Only a few configurations of neutrons and protons are stable.

 

  • The radioactive decay will be exponential in nature and is given by,

N=N0e0.693(tt12)

Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.

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