The half-life of 40K is 1.30 × 109 y. A sample of 1.00 g of pure KCl gives 160 counts s–1. Calculate the relative abundance of 40K (fraction of 40K present) in natural potassium.

Given, t1/2= 1.3× 109 y

Activity, A= 160 counts s–1



As



As 6.023×1023 atoms are present in 40g




The relative abundance of 40K in natural potassium= (2×0.00063×100) % = 0.12%


1