Chemistry - Chemical Kinetics Question with Solution | TestHub

For a first order reaction, the rate equation is given by:

$\text{Rate}=k[A]$

Substituting the given values:

$1.5\times 10^{-2}=k\times 0.5$

$k=\frac{1.5\times 10^{-2}}{0.5}=3.0\times 10^{-2}{\text{ min}}^{-1}$

The half-life of a first order reaction is given by:

$t_{1/2}=\frac{0.693}{k}$

$t_{1/2}=\frac{0.693}{3.0\times 10^{-2}}=23.1\text{ min}$

Answer: 23.1 minute