An 8 g sample of a radioactive element takes 8.42 million years to reduce into 2 g. Calculate the half-life and identify the element.

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An 8 g sample of a radioactive element takes 8.42 million years to reduce into 2 g.
Calculate the half-life and identify the element.
Transcribed Image Text:An 8 g sample of a radioactive element takes 8.42 million years to reduce into 2 g. Calculate the half-life and identify the element.
Expert Solution
Concept and Principle:
  • Some configurations of protons and neutrons inside a nucleus are unstable. When an atomic nucleus is unstable they become stable by removing a proton or neutron through radiations. This process is called radioactive decay.

 

  • This 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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