Q79 / 200 · NEET 2023 (Manipur) · Chemistry

For a reaction $3 \mathrm{~A} \rightarrow 2 \mathrm{~B}$ The average rate of appearance of $B$ is given by $\frac{\Delta[B]}{\Delta t}$. The correct relation between the average rate of appearance of $B$ with the average rate of disappearance of $A$ is given in option

  • Correct answer
    A
    $\frac{-2 \Delta[\mathrm{A}]}{3 \Delta \mathrm{t}}$
  • B
    $\frac{\Delta[\mathrm{A}]}{\Delta \mathrm{t}}$
  • C
    $\frac{-\Delta[\mathrm{A}]}{\Delta \mathrm{t}}$
  • D
    $\frac{-3 \Delta[\mathrm{A}]}{2 \Delta \mathrm{t}}$

Solution

For reaction, $3 \mathrm{~A} \longrightarrow 2 \mathrm{~B}$ Average rate of reaction $=-\frac{1}{3} \frac{\Delta[\mathrm{A}]}{\Delta \mathrm{t}}=\frac{1}{2} \frac{\Delta[\mathrm{B}]}{\Delta \mathrm{t}}$ So $\frac{\Delta[\mathrm{B}]}{\Delta \mathrm{t}}=-\frac{2}{3} \frac{\Delta[\mathrm{A}]}{\Delta \mathrm{t}}$

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

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