What mass of ¹⁴C (having a half-life of 5730 years) do you need to provide a decay rate of 280.0 Bq? (1 u = 1.6605 × 10^-27 kg)

Question

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The decay rate (activity) is given by A = λN, where λ is the decay constant and N is the number of atoms. λ can be calculated using λ = ln(2) / half-life. Using the given half-life, calculate λ, then find N using N = A / λ. Convert N to mass using the atomic mass of ¹⁴C and the conversion factor 1 u = 1.6605 × 10^-27 kg.

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What Mass of ¹⁴C (Having a Half-Life of 5730 Years)