The decomposition of a substance follows first-order kinetics

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Problem

The decomposition of a substance follows first-order kinetics. Its concentration is reduced to 18\frac18 of its initial value in 24 min24\,\text{min}. The rate constant of the decomposition process is (a) 124 min−1\frac{1}{24}\,\text{min}^{-1} (b) 0.693224 min−1\frac{0.6932}{24}\,\text{min}^{-1} (c) 2.30324log⁡(18) min−1\frac{2.303}{24}\log\left(\frac18\right)\,\text{min}^{-1} (d) 2.30324log⁡(81) min−1\frac{2.303}{24}\log\left(\frac81\right)\,\text{min}^{-1}

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