Answer:
The age of this archeological sample is 2737.53 years
Explanation:
Given that:
Half life = 5730 years
Where, k is rate constant
So,
The rate constant, k = 0.00012 year⁻¹
Using integrated rate law for first order kinetics as:
Where,
is the concentration at time t
is the initial concentration
Given that:
The rate constant, k =
year⁻¹
It is given that 72 % of the 14C remains. So,
= 0.72
Applying values as:-



The age of this archeological sample is 2737.53 years