AIIMS 2019 Chemistry First Order Reactions MCQ Question

In the context of first-order reactions, the equation $k = \frac{2.303}{t} \log \left( \frac{a}{a-x} \right)$ accurately describes the relationship between the rate constant $k$, time $t$, and the concentrations of reactants, where $a$ is the initial concentration and $x$ is the change in concentration. The derivation of this equation shows that the logarithmic relationship is fundamental to first-order kinetics, confirming that the reaction rate is proportional to the concentration of the reactant. Other options are not applicable as they do not provide relevant information or alternative answers concerning the first-order reaction kinetics.