Chemical Kinetics - Result Question 67

66. One of the hazards of nuclear explosion is the generation of $Sr^{90}$ and its subsequent incorporation in bones. This nucleide has a half-life of $28.1 $ $yr$. Suppose one microgram was absorbed by a new-born child, how much $Sr^{90}$ will remain in his bones after $20$ $ yr$.

(1995, 2M)

Show Answer

Answer:

Correct Answer: 66. $(6.1 \times 10^{-7} $ $g)$

Solution:

$ k _t=\ln \dfrac{w _0}{w} $

$\Rightarrow \quad \dfrac{\ln 2}{28.1} \times 20=\ln \dfrac{10^{-6} g}{w} \Rightarrow w=6.1 \times 10^{-7} g$



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