Answer:
The age of living tree is 11104 years.
Explanation:
Given that,
Mass of pure carbon = 100 g
Activity of this carbon is = 6.5 decays per second = 6.5 x60 decays/min =390 decays/m
We need to calculate the decay rate
....(I)
Where, N = number of radio active atoms
=half life
We need to calculate the number of radio active atoms
For
Where, =Avogadro number
For
Put the value in the equation (I)
100 g carbon will decay with rate
We need to calculate the total half lives
We need to calculate the age of living tree
Using formula of age
Hence, The age of living tree is 11104 years.