The half life for the decay of carbon-14 is 5.73 x 10^3 years. suppose the activity due to the radioactive decay of the carbon-14 in a tiny sample of an artifact made of wood from an archeological dig is measured to be 53.bq. the activity in a similar-sized sample of fresh wood is measured to be 59.bq.
1. calculate the age of the artifact. round your answer to 2 significant digits.

years

Explanation:

Given that:

Half life = 5730 years

Where, k is rate constant

So,  

The rate constant, k = 0.00012 years⁻¹

Initial concentration [A₀] = 59 Bq

Final concentration = 53 Bq

Time = ?

Using integrated rate law for first order kinetics as:

Applying values, we get that:-

t = years

years is the age of the artifact.

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