Apiece of charcoal used for cooking is found at the remains of an ancient campsite. a 0.96-kg sample of carbon from the wood has an activity equal to 5.76 ✕ 10^2 decays per minute. find the age of the charcoal. hint: living material has an activity of 15.0 decays/minute per gram of carbon present. yr

t = 26541.55 years

Explanation:

let the age of charcoal is t

Activity of living material   = 15 decays / min /g

Activity of living material   = 15 * 1000 decays /min /kg

Acitivity of living material per 0.94 kg A = 0.94 *15 * 1000 decays / min

Activity of after time t is A ' = 5.76*10^2 decay per minute

half life of carbon = 5730 years

designtegration constant

we know

taking log on both side

t = 26541.55 years

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