Radioactive decay follows first order kinetics and the rate constant is often termed as decay constant. Certain radioactive substances may undero sequential decays in order to convert intoa stable nucleus. The series comprisingall such elements is termed asradioactive disintegration series. A substance A undergoes sequential decay as shown A overset(lambda_(1))rarr B overset (lambda_(2))rarr C. If the decay constant lambda_(1) and lambda_(2) are 4 xx10^(-2) "min"^(-1) and 16 xx 10^(5) "min" ^(-1) respectively then the molar ratio of B to A after a very long time will be :

Radioactive decay follows first order kinetics and the rate constant i

1.	Radioactive decay follows first order kinetics and the rate constant is often termed as decay constant. Certain radioactive substances may undero sequential decays in order to convert intoa stable nucleus. The series comprisingall such elements is termed asradioactive disintegration series. A substance A undergoes sequential decay as shown A overset(lambda_(1))rarr B overset (lambda_(2))rarr C. If the decay constant lambda_(1) and lambda_(2) are 4 xx10^(-2) "min"^(-1) and 16 xx 10^(5) "min" ^(-1) respectively then the molar ratio of B to A after a very long time will be :
Answer» `2.5 xx 10^(-8)` `4 xx 10^(-2)` `(1)/(16 )xx 10^(-5)` `4 xx 10^(7)` Solution :`[._(z)X^(A) underset (-alpha)rarr ._(z-2)X^(A-4)underset(-BETA)rarr ._(z-1)X^(A-4)underset(-beta)rarr ._(z)X^(A-4)` `:.` In this series there will be three will be three DIFFERENT element with ATOMIC no A, A-2, Z-1]