During nuclear explosion, one of the products is ⁹⁰Sr with half-life of 28.1 years. If 1μg of ⁹⁰Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically.

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One of the hazards of nuclear explosion is the generation of 90Sr and its subsequent incorporation in bones. This nuclide has a half-life of 28.1 years. suppose one microgram (10−6g) was absorbed by a new-born child, how much 90Sr will remain in his bones after 20 years?

The correct option is A 0.6107μgt50=28.1 yearsλ=2.303tlogC0C0.693t50=2.303tlogC0C0.69328.1=2.30320log1×10−6CC=0.6107×10−6g =0.6107μg

One of the hazards of nuclear explosion is the generation of $^{90} S r$ and its subsequent incorporation in bones. This nuclide has a half-life of 28.1 years. suppose one microgram $(10^{- 6} g)$ was absorbed by a new-born child, how much $^{90} S r$ will remain in his bones after 20 years?

The correct option is A $0.6107 μ g$
$t_{50} = 28.1$ years
$λ = \frac{2.303}{t} l o g \frac{C_{0}}{C}$
$\frac{0.693}{t_{50}} = \frac{2.303}{t} l o g \frac{C_{0}}{C}$
$\frac{0.693}{28.1} = \frac{2.303}{20} l o g \frac{1 \times 10^{- 6}}{C}$
$C = 0.6107 \times 10^{- 6} g$
$= 0.6107 μ g$