For a reaction $\frac{1}{2} \mathrm{~A} ightarrow 2 \mathrm{~B}$, rate of disappearance of '…

For a reaction $\frac{1}{2} \mathrm{~A} ightarrow 2 \mathrm{~B}$, rate of disappearance of ' $\mathrm{A}^{\prime}$ is related to the rate of appearance of 'B' by the expression
  1. $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=\frac{1}{4} \frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
  2. $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
  3. $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=4 \frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
  4. $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=\frac{1}{2} \frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$

Solution

Rate of reaction
$=\frac{-d[A]}{\frac{1}{2} d t}=\frac{d B}{2 d t}$ or $\frac{-d[A]}{d t}=\frac{1}{4} \frac{d[B]}{d t}$ *

Asked in: JEE-TOPICTESTS-CHEMISTRY

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