Given, half life T1/2=2.2×109 s Rate of disintegration, R=1010 s−1 If N be the number of nuclei present, then the rate of disintegration is dtdN=λN(λ= decay constant )⇒R=λN or N=λR… (i) Also, the half life is given by, T1/2=λ0.693⇒λ= T1/20.693 From Eq. (i) and (ii), we get N=0.693R×T1/2=0.6931010×2.2×109=3.17×1019