The half-life (in hours) for 86Rb is mathematically given as
half-life= 447.1 hr
This is further explained below.
Generally, the equation for k is mathematically given as
k = (1/t)ln(a/x)
Where
No of mol of Beta particle
β= (8.87*10^16/(6.023*10^23))
β = 1.47*10^-7 mol
Therefore
k = (9.52*10^-5)-(1.473*10^-7)
= 9.50527*10^-5 mol
Hence
k = (1/1)ln((9.52*10^-5)/(9.50527*10^-5))
k = 0.693/t0.5
t0.5=half lifetime
t0.5= 0.693/(0.00155)
half-life= 447.1 hr
In conclusion, the half-life (in hours) for 86Rb
half-life= 447.1 hr
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