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First Order Reaction

A first order...

Question

A first order reaction is 75% completed in 60 minutes. Find the half-life of the reaction

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Solution

$75 %$ in $60$ minutes, $t_{\frac{1}{2}} = \frac{l n 2}{k}$
$k = \frac{1}{t} l n (\frac{a_{0}}{a}) = \frac{1}{60} l n (\frac{4}{3}) = \frac{0.28}{60}$
$t_{\frac{1}{2}} = \frac{l n 2}{\frac{0.28}{60}} = 148.5$ minutes.

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