For a reaction $\frac{1}{2} A \rightarrow 2 B$, rate of disappearance of ' $A$ ' is related to the rate of…
For a reaction $\frac{1}{2} A \rightarrow 2 B$, rate of disappearance of ' $A$ ' is related to the rate of appearance of 'B' by the expression
- $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=\frac{1}{2} \frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
- $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=\frac{1}{4} \frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
- $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
- $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=4 \frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$
Solution
$\begin{aligned}
& \frac{1}{2} \mathrm{~A} \longrightarrow 2 \mathrm{~B} \\
& \frac{-2 \mathrm{~d}[\mathrm{~A}]}{\mathrm{dt}}=+\frac{\mathrm{d}[\mathrm{B}]}{2 \mathrm{dt}} \\
& \frac{-\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}=\frac{1}{4} \frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}
\end{aligned}$
Asked in: MHT CET Full Test 11
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