Question

A 10.00 g sample of wood from an archaeological site produced 3072 β particles in a 10-hour measurement owing to the presence of carbon-14, while a 10.00 g sample of new wood produced 9216 β particles in the same period of time. The half-life of carbon-14 is 5730 years. How old is the wood from the archaeological site?

Answer 1

ist ordey rate constant k= 2 1/2 = 0.693 - © substitute k in equation to en - tl2 > 5-673 ta t1/2x2-303xlog (AO) 0.693 where tilz is half-life t is amount of time k is rate constant Ao is initial concentracion At is concentration after time 't Given til 2 for (-14 = 5730 years Ab = 3072 ß particles Ao = 9216 B particles t- +12 2303 X log (A) 0.693 - 5730 X 2-303 UTDO^ 2003 7 3072) 0.693 6296-18273 0.693 = 9085 years Age of the wood a 9085 years