​ Protactinium 233 91 decays to 1/5th of its initial quantity in 62.7 days. ​

Question

Protactinium \(^{233}_{91}pa\) decays to \(\cfrac15\)th of its initial quantity in 62.7 days. Calculate its decay constant, mean-life and half-life.

Answer 1

Data : \(\cfrac{N}{N_0}\) = \(\cfrac15\), 

t = 62.7 d

∴ \(\cfrac{N}{N_0}\) = 5

The decay constant of \(^{233}_{91}pa\),

The mean life of \(^{233}_{91}pa\),

The half life of \(^{233}_{91}pa\),