During the nuclear explosion, one of the products is 90 S r with half life of 6.93 years. If 1 μ g of…

During the nuclear explosion, one of the products is 90Sr with half life of 6.93 years. If 1μg of 90Sr was absorbed in the bones of a newly born baby in place of Ca, how much time, in years, is required to reduce it by 90% if it is not lost metabolically ____________.

Solution

Radioactive disintegration is always a first order reaction for a first order reaction. Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation.
 
Kt=2.303log A o A t
 
where A o = initial concentration

A t = concentration at time ‘t’

t 1 2 = 0.693 K K= 0.693 t 1 2 = 0.693 6.93 0.1yent s 1 t 90% = 2.303 0.1 log 100 10 t 90% =23.03 years.

Asked in: JEE Main 2020 (07 Jan Shift 1)

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