From the following data, show that the decomposition of hydrogen peroxide is a reaction of the first order :
`{:(t,,,0,,,10,,,20),(x,,,46.1,,,29.8,,,19.3):}`
where t is the time in minutes and x is the volume of standard `KMnO_(4)` solution in `"cm"^(3)` required for titrating the same volume of the reaction mixture.

Explanation

To demonstrate that the decomposition of hydrogen peroxide (H₂O₂) is a first-order reaction using the provided data, we will use the first-order rate equation:

\[ k = \frac{2.303}{t} \log \left( \frac{A}{A - x} \right) \]

Where:
- \( k \) is the rate constant,
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