WBJEE · Chemistry · Chemical Kinetics
The time taken for \(10 \%\) completion of a first order reactin is 20 mins. Then, for \(19 \%\) completion, the reaction will take
- A \(40 \mathrm{mins}\)
- B 60 mins
- C \(30 \mathrm{mins}\)
- D 50 mins
Answer & Solution
Correct Answer
(A) \(40 \mathrm{mins}\)
Step-by-step Solution
Detailed explanation
\(t=\frac{2.303}{\lambda} \log \frac{\mathrm{N}_0}{\mathrm{~N}}\) \(\begin{aligned} & 20=\frac{2.303}{\lambda} \log \frac{100}{90} \\ & t=\frac{2.303}{\lambda} \log \frac{100}{81}\end{aligned}\) equation (i) / (ii) \(\therefore t=40 \mathrm{~min}\).
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