$3 \mathrm{~A} \rightarrow 2 \mathrm{~B}$, then the rate of reaction $\frac{+d[\mathrm{~B}]}{d t}$ is equal…

$3 \mathrm{~A} \rightarrow 2 \mathrm{~B}$, then the rate of reaction $\frac{+d[\mathrm{~B}]}{d t}$ is equal to:
  1. $-\frac{3}{2} \frac{d[\mathrm{~A}]}{d t}$
  2. $-\frac{2}{3} \frac{d[\mathrm{~A}]}{d t}$
  3. $-\frac{1}{2} \frac{d[\mathrm{~A}]}{d t}$
  4. $2 \frac{d[A]}{d t}$

Solution

For the reaction, $\begin{gathered} 3 \mathrm{~A} \rightarrow 2 \mathrm{~B} \\ \text { Rate }=-\frac{1}{3} \frac{d[\mathrm{~A}]}{d t}=+\frac{1}{2} \frac{d[\mathrm{~B}]}{d t} \\ \therefore+\frac{d[\mathrm{~B}]}{d t}=-\frac{2}{3} \frac{d[\mathrm{~A}]}{d t} \end{gathered}$

Asked in: NEET 2002

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