Instantaneous rate of a reaction is $-\frac{1}{2}…

Instantaneous rate of a reaction is $-\frac{1}{2} \frac{\mathrm{d}[\mathrm{x}]}{\mathrm{dt}}=-\frac{\mathrm{d}[\mathrm{y}]}{\mathrm{dt}}=\frac{1}{2} \frac{\mathrm{d}[\mathrm{z}]}{\mathrm{dt}}$, identify the reaction.
  1. $\mathrm{x}-2 \mathrm{y} \longrightarrow 2 \mathrm{z}$
  2. $2 \mathrm{x}+\mathrm{y} \longrightarrow 2 \mathrm{z}$
  3. $2 \mathrm{z}+\mathrm{y} \longrightarrow 2 \mathrm{x}$
  4. $2 \mathrm{x}-2 \mathrm{y} \longrightarrow \mathrm{z}$

Solution

$-\frac{1}{2} \frac{\mathrm{d}[\mathrm{x}]}{\mathrm{dt}}=-\frac{\mathrm{d}[\mathrm{y}]}{\mathrm{dt}}=\frac{1}{2} \frac{\mathrm{d}[\mathrm{z}]}{\mathrm{dt}}$ Correct reaction: $2 \mathrm{x}+\mathrm{y} \longrightarrow 2 \mathrm{z}$ (-) sign represents the rate of reactants.

Asked in: MHT CET 2021 (20 Sep Shift 2)

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