What mass of ¹⁴C, with a half-life of 5730 y, do you need to provide a decay rate of $280.0 \mathrm {~Bq} ?$ The mass of ¹⁴C is 14.00 u, and 1 u = 1.6605 × 10^-27 kg.

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The decay rate (activity) is given by $ A = \lambda N $, where $ \lambda = \frac{\ln(2)}{T_{1/2}} $. Calculate $ \lambda $ using the half-life of $ ^{14}C $. Then, find $ N $ using $ N = \frac{A}{\lambda} $. Convert $ N $ to mass using the atomic mass and Avogadro's number. The correct mass is approximately $ 1.70 \times 10^{-12} $ kg.

What Mass of 14C, with a Half-Life of 5730 Y 280.0 Bq?280.0 \mathrm {~Bq} ?280.0 Bq?

What Mass of ¹⁴C, with a Half-Life of 5730 Y $280.0 \mathrm {~Bq} ?$