The isotope of xenon, Xe-124 has a half-life of 1.8 × 1022 yrs. How long will it take for a 1g sample to decay into lug?

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The isotope of xenon, Xe-124 has a half-life of 1.8 × 1022 yrs. How long will it take for a
1g sample to decay into lug?
Transcribed Image Text:The isotope of xenon, Xe-124 has a half-life of 1.8 × 1022 yrs. How long will it take for a 1g sample to decay into lug?
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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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