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Identify the reaction from its rate expression

The same question, asked 3 times: May 2022 S1*, 11 May 2023 S2*, 25 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    May 2022 S1

    83
    If rate of reaction is given as 13d[x]dt=−12d[y]dt=−d[Z]dt\frac{1}{3}\frac{d[x]}{dt} = -\frac{1}{2}\frac{d[y]}{dt} = -\frac{d[Z]}{dt}, the reaction can be represented as

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  2. Question 2

    11 May 2023 S2

    51
    If instantaneous rate of reaction is given as −1ad[A]dt=−1bd[B]dt=1cd[C]dt=1dd[D]dt-\frac{1}{a}\frac{d[A]}{dt} = -\frac{1}{b}\frac{d[B]}{dt} = \frac{1}{c}\frac{d[C]}{dt} = \frac{1}{d}\frac{d[D]}{dt}, the reaction is represented as,

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  3. Question 3

    25 Apr 2025 S2

    56
    If Instantaneous rate of reaction is stated as −12 d[x]dt=−d[y]dt=12 d[z]dt-\frac{1}{2}\frac{\text{ }d\lbrack x\rbrack}{dt}= -\frac{d\lbrack y\rbrack}{dt}=\frac{1}{2}\frac{\text{ }d\lbrack z\rbrack}{dt}, identify the reaction.

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