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Question: Answered & Verified by Expert
The instantaneous rate for reaction $2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C}+3 \mathrm{D}$, is given by
ChemistryChemical KineticsMHT CETMHT CET 2022 (11 Aug Shift 1)
Options:
  • A $\frac{1}{3} \frac{\mathrm{d}[\mathrm{D}]}{\mathrm{dt}}$
  • B $\frac{1}{2} \frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$
  • C $\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$
  • D $\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
Solution:
2354 Upvotes Verified Answer
The correct answer is: $\frac{1}{3} \frac{\mathrm{d}[\mathrm{D}]}{\mathrm{dt}}$
$\mathbf{r}=-\frac{1}{2} \frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=-\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}=\frac{\mathrm{d}[\mathrm{c}]}{\mathrm{dt}}=\frac{1}{3} \frac{\mathrm{d}[\mathrm{D}]}{\mathrm{dt}}$

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