JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics
Time required for \(99.9 \%\) completion of a first order reaction is _______ time the time required for completion of \(90 \%\) reaction.(nearest integer).
- A \(5\)
- B \(4\)
- C \(3\)
- D \(8\)
Answer & Solution
Correct Answer
(C) \(3\)
Step-by-step Solution
Detailed explanation
\(\mathrm{K}=\frac{1}{\mathrm{t}_{99.9 \%}} \ln \left(\frac{100}{0.1}\right)=\frac{1}{\mathrm{t}_{90 \%}} \ln \left(\frac{100}{10}\right)\) \(\mathrm{t}_{99.9 \%}=\mathrm{t}_{90 \%} \frac{\ln \left(10^3\right)}{\ln 10}\) \(\mathrm{t}_{99.9 \%}=\mathrm{t}_{90 \%} \times 3\)
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