A mammoth skeleton has a carbon-14 content of 12.50% of that found in living organisms. When did the mammoth live?
Here, we are going to calculate the time of death of the mammoth.
The time taken for one-half of a sample to disappear is called its half life(t1/2). The half life period of carbon-14 is 5730 years
Now, we know that,
= 1.209x 10-4 yr-1
Let the carbon-14 content in living organisms be 100
Therefore, carbon-14 content in the mammoth skeleton = 12.50
Again, from kinetics, the rate constant, k is given by-
k = log , where, [R]o = initial concentration