A mammoth skeleton has a carbon-14 content of 12.50% of that found in living organisms. When did the mammoth live?

Solution 82P:

Here, we are going to calculate the time of death of the mammoth.

Step1:

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,

t1/2 =

k =

=

= 1.209x 10-4 yr-1

Step2:

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

[R]...