The age of the object can be found using the equation .
The rate of decay:
In contrast to chemical reactions, the decay of a certain nucleus cannot be predicted and is unaffected by physical factors like temperature. There are two factors that affect the rate of isotope decay. The average number of undecayed nuclei in the system must double, as must the rate of decay for undecayed nuclei. the isotope's stability because some decay more quickly than others. The number of nuclei that decay per second is determined by the rate of decay.
The rate of the Decay is given as
[tex]\frac{-dA}{dt} =k[A][/tex]
On integrating the above we have
[tex]ln\frac{[A_{0} ]}{[A]}=kt[/tex]
[tex]t=\frac{1}{k}ln\frac{[A_{0} ]}{[A]}[/tex]
The number of nuclei has no bearing on the likelihood that a fixed nucleus would decay. Each nucleus has a predetermined likelihood of decaying in a certain length of time. The number of decaying nuclei will rise as the number of nuclei increases, but that is actually to be expected.
It's similar to rolling a large number of dice; the proportion of dice showing a particular digit to the total number of dice you roll. Keeping with this scenario, let's say you take away a dice if it displays 1. This is comparable to the disintegration of a nucleus. The number of dice eliminated will initially be large, but as the number of dice decreases, so will the number being removed.
The age of the object can be found using the equation:
[tex]\frac{-dA}{dt} =k[A][/tex]
Learn more about Radioactive Decay here
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