JEE MAIN - Chemistry (2024 - 5th April Morning Shift - No. 30)
During Kinetic study of reaction $$\mathrm{2 A+B \rightarrow C+D}$$, the following results were obtained :
| $$\mathrm{A [M]}$$ | $$\mathrm{B [M]}$$ | initial rate of formation of $$\mathrm{D}$$ | |
|---|---|---|---|
| I | 0.1 | 0.1 | $$6.0\times10^{-3}$$ |
| II | 0.3 | 0.2 | $$7.2\times10^{-2}$$ |
| III | 0.3 | 0.4 | $$2.88\times10^{-1}$$ |
| IV | 0.4 | 0.1 | $$2.40\times10^{-2}$$ |
Based on above data, overall order of the reaction is _________.
Answer
3
Explanation
$$\begin{aligned}
& \text { Rate }=k[A]^x[B]^y \\
& \frac{6 \times 10^{-}}{2.4 \times 10^{-}}=\left(\frac{0.1}{0.4}\right)^x \Rightarrow x=1 \\
& \frac{7.2 \times 10^{-}}{2.88 \times 10^{-}}=\left(\frac{0.2}{0.4}\right)^y \Rightarrow y=2
\end{aligned}$$
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