During the nuclear explosion, one of the products is 90 S r with half life of 6.93 years. If 1 μ g of 90 S r was absorbed in the bones of a newly born baby in place of C a , how much time, in years, i

Question

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

TestHub · Accepted Answer

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.

$K t = 2.303 \log \frac{[A_{o}]}{[A_{t}]}$

where $[A_{o}] =$ initial concentration

$[A_{t}] =$ concentration at time ‘t’

$t_{\frac{1}{2}} = \frac{0.693}{K}$ $K = \frac{0.693}{t_{\frac{1}{2}}} = \frac{0.693}{6.93} \Rightarrow 0.1 y e n t s^{- 1}$ $t_{90 %} = \frac{2.303}{0.1} \log \frac{[100]}{[10]}$ $t_{90 %} = 23.03$ years.

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