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Question: Answered & Verified by Expert
The time taken for $10 \%$ completion of a first order reactin is 20 mins. Then, for $19 \%$ completion, the reaction will take
ChemistryChemical KineticsWBJEEWBJEE 2009
Options:
  • A $40 \mathrm{mins}$
  • B 60 mins
  • C $30 \mathrm{mins}$
  • D 50 mins
Solution:
1908 Upvotes Verified Answer
The correct answer is: $40 \mathrm{mins}$
$t=\frac{2.303}{\lambda} \log \frac{\mathrm{N}_0}{\mathrm{~N}}$
$\begin{aligned} & 20=\frac{2.303}{\lambda} \log \frac{100}{90} \\ & t=\frac{2.303}{\lambda} \log \frac{100}{81}\end{aligned}$


equation (i) / (ii)
$\therefore t=40 \mathrm{~min}$.

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