The half-life for radioactive decay of 14C is 5730 years. An archaeological artifact containing wood had only 80% of the 14C found in a living tree.

Isabell Tanner

Isabell Tanner

Answered question

2023-03-12

The half-life for radioactive decay of 14C is 5730 years. An archaeological artifact containing wood had only 80% of the 14C found in a living tree. Calculate the sample's age.

Answer & Explanation

kumukep44

kumukep44

Beginner2023-03-13Added 5 answers

Here, k = 0.693 t 1 / 2
= 0.693 5730 y e a r s 1
It is known that,
t = 2.303 k log [ R ] 0 [ R ]
= 2.303 0.693 5730 l o g 100 80
= 1845 years (approximately)
Hence, the age of the sample is 1845 years.

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