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  • During the nuclear explosion one of the product has its half life 8.21 years. If 1 Mg of product was absorbed in the bones of newly born baby in place of Ca, how much time in years, is require

During the nuclear explosion one of the product has its half life 8.21 years. If 1 Mg of product was absorbed in the bones of newly born baby in place of Ca, how much time in years, is required to reduce it by 90 %. if it not lost metabolically

Option: 1

36.8 years


Option: 2

45.2 years


Option: 3

28.7 years


Option: 4

30.6 years


Answers (1)

best_answer

\mathrm{\begin{aligned} t_{1 / 2} & =8.21 \text { years } \\ a & =10^{-6} \mathrm{~g} \\ t_{1 / 2} & =\frac{0.693}{k} \\ k & =\frac{0.693}{t_{1 / 2}}=\frac{0.693}{8.21}=0.08 \end{aligned}}

For  \mathrm{I^{\text {st }} } order reaction, 

\mathrm{\begin{aligned} & k=\frac{2.303}{t} \log \frac{a}{a-x} \\ & t=\frac{2.303}{k} \log \frac{a}{a-x} \\ & k=\frac{2.303}{0.08} \log \frac{10^{-6}}{10^{-7}} \\ & k=28.7 \text { years } \end{aligned}}

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