What is the age of mummified primate skin that contains 8.25% of the original quantity of 14c?

20619.4793 years

Explanation:

The half life of carbon-14 = 5730 years

The formula for the half life for a first order kinetic reaction is:

Where,  

is the half life

k is the rate constant.

Thus rate constant is:

5730 years=ln(2)/k

k = 1.21×10⁻⁴ years ⁻¹

Using integrated rate law as:

Where,

is the concentration at time t

is the initial concentration

Given that the final concentration contains 8.25 % of the original quantity which means that:

So,

ln(.0825)= -1.21×10⁻⁴×t

t = 20619.4793 years

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