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Question: Answered & Verified by Expert
A Substance undergoes first order decomposition. The decomposition follows two parallel first order reactions as

The percentage distribution of \(B\) and \(C\) are
ChemistryChemical KineticsJEE Main
Options:
  • A \(75 \% \mathrm{~B}\) and \(25 \% \mathrm{C}\)
  • B \(80 \% \mathrm{~B}\) and \(20 \% \mathrm{C}\)
  • C \(60 \% \mathrm{~B}\) and \(40 \% \mathrm{C}\)
  • D \(76.83 \% \mathrm{~B}\) and \(23.17 \% \mathrm{C}\)
Solution:
1995 Upvotes Verified Answer
The correct answer is: \(76.83 \% \mathrm{~B}\) and \(23.17 \% \mathrm{C}\)
\(\begin{aligned} & \text { % distribution of } \mathrm{B}=\frac{k_1}{k_1+k_2} \times 100 \\ & =\frac{1.26 \times 10^{-4}}{1.26 \times 10^{-4}+3.8 \times 10^{-4}} \times 100 \\ & \mathrm{~B} \%=76.83 \% \\ & \text { % Distribution of } \mathrm{C}=\frac{k_2}{k_1+k_2} \times 100 \\ & =\frac{3.8 \times 10^{-4}}{1.26 \times 10^{-4}+3.8 \times 10^{-4}} \times 100 \\ & \mathrm{C} \%=23.17 \%\end{aligned}\)

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