Problem

The decomposition of a substance follows first order kinetics. Its concentration is reduced to

1/8^{\text{th}}

of its initial value in 24 minutes. The rate constant of the decomposition process is (a)

1/24 \text{ min}^{-1}

(b)

0.6932/24 \text{ min}^{-1}

(c)

\frac{2.303}{24} \log\left(\frac{1}{8}\right) \text{ min}^{-1}

(d)

\frac{2.303}{24} \log\left(\frac{8}{1}\right) \text{ min}^{-1}