A piece of wood from an archaeological sample has 5.0 counts min − 1 per gram of C − 14 , while a fresh sample of wood has a count of 15.0 min − 1 g − 1 . If half-life of C − 14 is 5770 yr the age of

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A piece of wood from an archaeological sample has 5.0 counts min − 1 per gram of C − 14 , while a fresh sample of wood has a count of 15.0 min − 1 g − 1 . If half-life of C − 14 is 5770 yr the age of the archaeological sample is

TestHub · Accepted Answer

Age of archaeological sample. t = k 2.303 ​ lo g ( N N 0 ​ ​ ) (Here, N 0 ​ = initial activity. N = remaining activity) k (where t 1/2 ​ ​ = t 1/2 ​ 0.693 ​ = half-life) = 5770 0.693 ​ yr − 1 ​ ∴ t = 0.693 2.303 × 5770 ​ lo g ( 5 15 ​ ) = 19175.0 lo g 3 yr = 9148 yr ≈ 9200 yr ​

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