QJEEM22Ch0cc3: JEE Main 2022 Chemistry - Class 12 JEEM22Ch0cc3 Solution: Assuming 1 μ g of trace radioactive element X with a half life…

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QJEEM22Ch0cc3: JEE Main 2022 Chemistry - Class 12 JEEM22Ch0cc3 Solution: Assuming 1 μ g of trace radioactive element X with a half life…

Assuming $1 μ g$ of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is ______ $\times 10^{- 1} μ g$ .

[Given : ln 10 = 2.303; log 2 = 0.30]

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Accepted Answer

t = \frac{1}{λ} \ln (\frac{a}{a - x})

\begin{aligned} \Rightarrow 100 = (\frac{30}{\ln 2}) [\ln (\frac{1}{w})] \\ \Rightarrow [\frac{100 \times \log 2}{30}] = \log (\frac{1}{w}) \\ \Rightarrow 1 = \log (\frac{1}{w}) \\ \Rightarrow \frac{1}{w} = 10 \\ So w = 0.1 μ g \end{aligned}

QJEEM22Ch0cc3: JEE Main 2022 Chemistry - Class 12 JEEM22Ch0cc3 Solution: Assuming 1 μ g of trace radioactive element X with a half life…

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