Chemical Kinetics Question 3

Question 3 - 2024 (27 Jan Shift 1)

Consider the following data for the given reaction

$2 \mathrm{HI}{(\mathrm{g})} \rightarrow \mathrm{H}{2(\mathrm{~g})}+\mathrm{I}_{2(\mathrm{~g})}$

1 2 3
$\mathrm{HI}\left(\mathrm{molL}^{-1}\right)$ 0.005 0.01 0.02
Rate $\left(\mathrm{molL}^{-1} \mathrm{~s}-1\right)$ $7.5 \times 10^{-4}$ $3.0 \times 10^{-3}$ $1.2 \times 10^{-2}$

The order of the reaction is ___________

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Answer (2)

Solution

Let, $\mathrm{R}=\mathrm{k}[\mathrm{HI}]^{\mathrm{n}}$

using any two of given data,

$\frac{3 \times 10^{-3}}{7.5 \times 10^{-4}}=\left(\frac{0.01}{0.005}\right)^{\mathrm{n}}$

$\mathrm{n}=2$