Question

For a first order reaction $A\to$ Products, initial concentration of $A$ is $0.1M$, which becomes $0.001M$ after $5$ minutes. Rate constant for the reaction in ${\text{min}}^{–1}$ is

Answer 1

$A\to$ Product
$t=00.1M$
$t=5\text{min}0.001M$
$k=\frac{2.303}{t}\log \frac{C_o}{C_t}$
$k=\frac{2.303}{5}\log \frac{{10}^{-1}}{{10}^{-3}}$
$k=\frac{2.303}{5}\log {10}^2,\frac{2.303}{5}2\log 10$
$k=\frac{2.303\times 2}{5}=0.9212{\text{min}}^{-1}$