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The decomposition of \( \mathrm{H}_{2} \mathrm{O}_{2} \) can be followed by titration with \( \mathrm{KMnO}_{4} \) and is found to be a firstorder reaction. The rate constant is \( 4.5 \times 10^{-2} \). In an experiment, the initial titre value was \( 25 \mathrm{ml} \). The titre will be \( 5 \mathrm{ml} \) after
(a) \( 4.5 \times 10^{-2} \times 5 \mathrm{~min} \)
(b) \( \frac{\ln 5}{4.5 \times 10^{-2}} \min \)
(c) \( \frac{\ln (5 / 4)}{4.5 \times 10^{-2}} \min \)
(d) \( 4.5 \times 1.25 \mathrm{~min} \)
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