The instantaneous rate for reaction $2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C}+3 \mathrm{D}$, is given…

The instantaneous rate for reaction $2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C}+3 \mathrm{D}$, is given by
  1. $\frac{1}{3} \frac{\mathrm{d}[\mathrm{D}]}{\mathrm{dt}}$
  2. $\frac{1}{2} \frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$
  3. $\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$
  4. $\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$

Solution

$\mathbf{r}=-\frac{1}{2} \frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=-\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}=\frac{\mathrm{d}[\mathrm{c}]}{\mathrm{dt}}=\frac{1}{3} \frac{\mathrm{d}[\mathrm{D}]}{\mathrm{dt}}$

Asked in: MHT CET 2022 (11 Aug Shift 1)

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