1. Tardigrade
  2. Question
  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)

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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 $(\log 2 = 0.301)$

VITEEEVITEEE 2017

Solution:

$K =\frac{0.693}{ t _{\frac{1}{2}}}$
$K =\frac{0.693}{6.93}=10^{-1} \min ^{-1}$
$10^{-1}=\frac{2.303}{ t } \log \frac{100}{1}$
$t =\frac{2.303 \times 2}{10^{-1}}=46.06\, \min$