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Cs-137 has a half-life of 30.5 years. If the initial amount of sample is 10 g how much will be left after 18 years?

Cs-137 has a half-life of 30.5 years. If the initial amount of sample is 10 g how much will be left after 18 years?

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Cs-137 has a half-life of 30.5 years. If the initial amount of sample is 10 g how much will be left after 18 years?
Transcribed Image Text:Cs-137 has a half-life of 30.5 years. If the initial amount of sample is 10 g how much will be left after 18 years?
Expert Solution
Concept and Principle:
  • For heavy nuclei, due to increased coulombic repulsion, the number of protons and neutrons may not be equal. Only a few combinations of neutrons and protons are stable.

 

  • 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=N0e−0.693(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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