Calculating the Rate Constant for a First-Order Reaction

A reaction is studied in a laboratory under constant temperature conditions. The rate equation is observed to follow first-order kinetics, where the rate of reaction (R) can be expressed as R = k[A]. During the experiment, it was noted that the concentration of reactant A decreases to half its initial concentration in every 10 minutes.

Researchers measured the reaction rate over several intervals and collected the following data: At t = 0 min, [A] = 0.1 M; at t = 10 min, [A] = 0.05 M; at t = 20 min, [A] = 0.025 M; at t = 30 min, [A] = 0.0125 M. Based on this information, they are tasked with finding the appropriate rate constant (k) for this reaction.