Question 31.16: A sample of an isotope for which λ = 0.10 s^−1 contains 5.0 ...

A sample of an isotope for which λ = 0.10  s^{−1} contains 5.0 × 10^{9} undecayed nuclei at the start of an experiment. Determine:

a the number of undecayed nuclei after 50 s

b its activity after 50 s.

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a N = N_{0}  e^{–λt} = 5.0 × 10^{9} × e^{(–0.10  ×  50)}

= 3.37 × 10^{7} \approx 3.4 × 10^{7}
b Activity A = λN = 0.10 × 3.37 × 10^{7} \approx 3.4 × 10^{6}  Bq

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