The decay constant of Au-198 is 2.97 × 10° s¹. Calculate the ratio of Au-198 remaining after 20 hours.

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The decay constant of Au-198 is 2.97 × 106 s¹. Calculate the ratio of Au-198 remaining
after 20 hours.
Transcribed Image Text:The decay constant of Au-198 is 2.97 × 106 s¹. Calculate the ratio of Au-198 remaining after 20 hours.
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Concept and Principle:
  • Not all combinations of neutrons and protons are stable. When there are too less or too many neutrons the nucleus becomes unstable. They become stable by undergoing radioactive decay.

 

  • This radioactive decay of an unstable nucleus is exponential in nature. It is given by,

N=N0eλt

Here N0 is the original number of radioactive nuclei present, λ is the decay constant, and t is the time.

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