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 substance mentioned is carbon-14 (C-14), a radioactive isotope used in radiocarbon dating. The decay rate (activity) of a radioactive substance is given by the equation A = λN, where A is the activity in decays per second (Bq), λ is the decay constant, and N is the number of atoms. The decay constant λ can be calculated from the half-life (T_1/2) using the formula λ = ln(2)/T_1/2. Given the half-life of 5730 years for C-14, we can find λ and then solve for N, the number of atoms. To find the mass, we use the relationship mass = N * atomic mass unit (u), where 1 u = 1.6605 × 10^-27 kg. The correct calculation leads to a mass that matches the option given in A.

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

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