An ancient skull has a carbon-14 content of 1.563% of that found in living organisms. How old is the skull?

Solution 81P:

Here, we are going to calculate the old of the skull.

Step1:

Half life period of the carbon-14 is 5730 years

We know,

t1/2 =

k =

=

= 1.209x 10-4 yr-1

Step 2:

We know,

-kt = ln= ln = -4.15856

= = 3.43967 x 104 yr

= 34396.7 yr

Thus, the skull is 34396.7 years old.

Note, if we take, -4.159 instead of -4.15856