List of top Chemistry Questions on kinetics equations asked in KEAM

In a first order reaction at a given temperature the time required to complete $99\%$ of the reaction ($T_1$) is related to time required for $90\%$ completion ($T_2$) as

In a first order reaction the initial concentration of the reactant was \(0.1 \text{ M}\) at \(298 \text{K}\). It is decreased to \(0.01 \text{ M}\) in 8 minutes and 20 seconds. Calculate the rate constant of the reaction at \(298 \text{K}\).