Q21 / 160 · TS EAMCET 2023 (14 May Shift 2) · Chemistry

For reaction $2 \mathrm{~A}+\mathrm{B} \longrightarrow \mathrm{D}+\mathrm{E}$, following mechanism has been proposed $\mathrm{A}+\mathrm{B} \longrightarrow \mathrm{C}+\mathrm{D}$ (Is slow) and $\mathrm{A}+\mathrm{C} \rightarrow \mathrm{E}$ (Is fast).

  • A
    $\mathrm{r}=\mathrm{K}[\mathrm{A}]^2[\mathrm{~B}]$
  • Correct answer
    B
    $\mathrm{r}=\mathrm{K}[\mathrm{A}][\mathrm{B}]$
  • C
    $r=K[A]$
  • D
    $\mathrm{r}=\mathrm{K}[\mathrm{A}][\mathrm{C}]$

Solution

$$ 2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{D}+\mathrm{E} $$ Mechanism $$ \begin{aligned} & \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}+\mathrm{D} \ldots \ldots \ldots \ldots \text { slow } \\ & \mathrm{A}+\mathrm{C} \rightarrow \mathrm{E} \ldots \ldots \ldots \ldots \ldots \ldots \text { fast } \end{aligned} $$ R.D.S is always a slow step $$ \mathrm{R}=\mathrm{K}[\mathrm{A}]^{\prime}[\mathrm{B}]^{\prime} $$

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

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