Answer:
The disintegrations is [tex]5.902\times10^{-17}\ decay /min[/tex].
Explanation:
Given that,
Weight of sample = 200 g
Decay constant [tex]\lambda=2.951\times10^{-16}\ min^{-1}[/tex]
We need to calculate the disintegrations
Using formula of disintegrations
[tex]\dfrac{dN}{dt}=\lambda N[/tex]
Where, [tex]\lambda[/tex] = decay constant
N = number of atoms present at time t
Put the value into the formula
[tex]\dfrac{dN}{dt}=2.951\times10^{-16}\times200\times10^{-3}[/tex]
[tex]\dfrac{dN}{dt}=5.902\times10^{-17}\ decay /min[/tex]
Hence, The disintegrations is [tex]5.902\times10^{-17}\ decay /min[/tex].
