Charcoal samples from Stonehenge in England were burned in O2, and the resultant CO2 gas bubbled into a solution of CaOH2 (limewater), resulting in the precipitation of CaCO3. The CaCO3 was removed by filtration and dried. A 792 mg sample of the CaCO3 had a radioactivity of 1.6×10-2 Bq because of carbon-14. By comparison, living organisms undergo 15.3 disintegrations per minute per gram of carbon.
Using the half-life of carbon-14, 5715 yr, calculate the age of the charcoal sample.