The half-life a particular isotope of barium is 12 s. What is the activity of a 1.0 × 10–6 kg sample of this isotope?
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N = N0(1/2)^(t/12)
Ln(N/N0) = - (t/12)ln(2)
Ln(N/N0) ≈ - 0.0578t
N ≈ N0e^- 0.0578t
dN/dt ≈ - 0.0578N0e^- 0.0578t
dN/dt ≈ (0.0578)(10^-6 kg)(6.02*10^23/mol)(1 mol/0.143922953 kg)
dN/dt ≈ 2.5*10^17 Bq
4) 2.5 x 10^17 Bq
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