Q14 / 150 · MHT CET 2021 (20 Sep Shift 2) · Chemistry

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.

  • A
    $\mathrm{x}-2 \mathrm{y} \longrightarrow 2 \mathrm{z}$
  • Correct answer
    B
    $2 \mathrm{x}+\mathrm{y} \longrightarrow 2 \mathrm{z}$
  • C
    $2 \mathrm{z}+\mathrm{y} \longrightarrow 2 \mathrm{x}$
  • D
    $2 \mathrm{x}-2 \mathrm{y} \longrightarrow \mathrm{z}$

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.

Hence, the correct answer is option: 'B'.

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