Reaction MechanismhardNUMERICAL

For the gaseous reaction , the rate of disappearance of is experimentally found to be . Find the ratReaction Mechanism Chemistry Question

Question

For the gaseous reaction $2A \rightarrow B + 3C$, the rate of disappearance of $A$ is experimentally found to be $0.4 \text{ M s}^{-1}$. Find the rate of appearance of $C$ ($\frac{d[C]}{dt}$) in $\text{M s}^{-1}$.

Answer: 0.6

💡 Solution & Explanation

The relationship between the rates is $-\frac{1}{2}\frac{d[A]}{dt} = \frac{1}{3}\frac{d[C]}{dt}$. The rate of disappearance of $A$ is $-\frac{d[A]}{dt} = 0.4 \text{ M s}^{-1}$. Substituting this into the relationship gives $\frac{1}{2}(0.4) = \frac{1}{3}\frac{d[C]}{dt}$, so $0.2 = \frac{1}{3}\frac{d[C]}{dt}$. Therefore, $\frac{d[C]}{dt} = 0.6 \text{ M s}^{-1}$.

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