An ancient club is found that contains 170 g of pure carbon and has an activity of 7.5 decays per second. Determine its age assuming that in living trees the ratio of 14C/12C atoms is about 1.40 x 10⁻¹². Note that the half life of carbon-14 is 5700 years and the Avogadro number is 6.02 x 10²³