1. Tardigrade
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  3. Chemistry
  4. The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99 % of the chemical reaction will be (log 2 = 0.301) :

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Q. The half life period of a first order chemical reaction is $6.93$ minutes. The time required for the completion of $99\%$ of the chemical reaction will be ($log\, 2\,=\,0.301$) :

AIEEEAIEEE 2009Chemical Kinetics

Solution:

$\because \lambda=\frac{0.6932}{t_{1/ 2}}=\frac{0.6932}{6.93}min^{-1}$
Also $t=\frac{2.303}{\lambda}log \frac{\left[A_{o}\right]}{\left[A\right]}$
$\left[A_{o}\right]=$ initial concentration (amount)
$\left[A\right]=$ final concentration (amount)
$\therefore t=\frac{2.303\times6.93}{0.6932}log \frac{100}{1}$
$46.06 $ minutes