Answer:
14873 years
Step-by-step explanation:
The exponential decay of the ¹⁴C can be expressed as follows:
(1)
<em>where Nt: is the disintegration per minute per gram of carbon that has not yet decayed after a time t = 2.25, N₀: is the initial disintegration per minute per gram of carbon = 13.6 (at the time of death), λ: is the decay constant and t: is time. </em>
<u>The half-life </u><u> of carbon-14 is related to the decay constant by the following equation:</u>
(2)
Hence, by entering equation (2) into (1) we have:
(3)
Now, by solving equation (3) for <em>t</em>, we can find the age of the remnants:
Therefore, the age of the remnants is 14873 years.
I hope it helps you!