Question

Be sure to answer all parts. The carbon-14 decay rate of a sample obtained from a young tree is 0.264 disintegration per second per gram of the sample. Another wood sample prepared from an object recovered at an archaeological excavation gives a decay rate of 0.193 disintegration per second per gram of the sample. What is the age of the object? (The half-life of carbon-14 is 5715 years.) × 1 ol 1 years Enter your answer in scientific notation.

Answer 1

Radio active decay follows the 1st order kinetics Half lifeperiod of carbon-14,1-5715 years 0.693 Rate constant, k- XIUvears t,5715 years --= 5715 years1.21x10 t years Initi al amount of C-14,[A.264 disintegrati ons / min per gram of carbon amount of C-14 left after timet A0.193 disintegrati ons /min per gram of carbon According to 1st order kinetics, t -4In 1, [A 0.264 disintegrati ons/min 0.193 disintegrations / min Age of the object, In -4 1.21x10 2589 years - 2590 years years-1