Answer:
t= 3886.18 years old
Explanation:
Whenever an animal dies de C14 and N14 begin to disintegrate in such a way that the proportion between C14 and C12 decreases, with a semi-disintegration period of 5.730 years, T. To get to know how long it takes an element to disintegrate, we must use this semi-disintegration period, which is the time it takes until the amount of the element is reduced to its half.
We can find the age of the fossil, t, by using the next formula:
t = - (T x ln (C14))/ ln (2)
t = - (5730 x ln (0.625)/0.693
t= - (-2693.12)/0.693
t= 3886.18
Radiocarbon dating is the process of determining the age of organic material or fossils by using the radioactive isotope of carbon.
The period or the age of the animal is 3886.18 years old.
The radioactive isotope of carbon and nitrogen is used to date the age of a fossil.
Organic compounds like carbon and nitrogen start to degrade. The proportion between the isotopes of carbon, carbon-14, and carbon-12 decreases, it takes a semi-disintegration period of 5.730 years.
The time taken to semi-disintegrate the fossil is the time taken by the compound to reduce to half.
The age can be calculated by:
[tex]\text t &= \dfrac{\text T \times \text {ln (C14)}} {\text {ln (2)}}\\\\\\\text t &= \dfrac{5730 \times \text {ln (0.625)}} {0.693}\\\\\\\text t &= \dfrac{-2693.12}{0.693}\\\\\text t &= 3886.18[/tex]
Therefore, the age of the fossil is 3886.18
To know more about carbon dating, refer to the following link:
https://brainly.com/question/13372327
