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JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics

\(\mathrm{r}=\mathrm{k}[\mathrm{A}]\) for a reaction, \(50 \%\) of \(\mathrm{A}\) is decomposed in\(120\) minutes. The time taken for \(90 \%\) decomposition of \(\mathrm{A}\) is _______ minutes.

  1. A \(390\)
  2. B \(399\)
  3. C \(499\)
  4. D \(490\)
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Answer & Solution

Correct Answer

(B) \(399\)

Step-by-step Solution

Detailed explanation

\({r}=\mathrm{k}[\mathrm{A}]\) So, order of reaction \(=1\) \({t}_{1 / 2}=120 \mathrm{~min}\) For \(90 \%\) completion of reactio \(\Rightarrow \mathrm{k}=\frac{2.303}{\mathrm{t}} \log \left(\frac{\mathrm{a}}{\mathrm{a}-\mathrm{x}}\right)\)…
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