Time required for 99.9 \% completion of a first order reaction is time the time required for completion of 90 \% reaction.(nearest integer).

Chemistry · Chemical Kinetics

JEE Main 2024 — 6 April, Shift 1 — Question 78

Time required for $99.9 \%$ completion of a first order reaction is $\qquad$ time the time required for completion of $90 \%$ reaction.(nearest integer).

Answer: 3

Numerical answer — enter this value.

Step-by-step solution

$\mathrm{K}=\frac{1}{\mathrm{t}_{99.9 \%}} \ln \left(\frac{100}{0.1}\right)=\frac{1}{\mathrm{t}_{90 \%}} \ln \left(\frac{100}{10}\right)$

$\mathrm{t}_{99.9 \%}=\mathrm{t}_{90 \%} \frac{\operatorname{\ell n}\left(10^{3}\right)}{\ell \mathrm{n} 10}$ $\mathrm{t}_{99.9 \%}=\mathrm{t}_{90 \%} \times 3$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 6 April, Shift 1
Subject: Chemistry
Chapter: Chemical Kinetics
Topic: Integrated Rate Laws