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Friedel Crafts Alkylation, Acylation

10 grams of57...

Question

10 grams of Co-57 kept in an open container and it $β$ -decay with half life of 270 days. The weight of the material inside the container after 540 days will be nearly?

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Solution

$^{57} C O ⟶ e^{- 1} +_{N - 1}^{57} X$
$9.1 \times 10^{- 37} k g << M_{c o}$
$T h e r e f o r e a f t e r 540 d a y s t h e w e i g h t o f t h e c o b a l t w i l l b e 10 g m$

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