Half-life equation for first-order reactions: where is the half-life in seconds , and is the rate constant in inverse seconds . Part A What is the half-life of a first-order reaction with a rate constant of 1.20×10?4 ? Part B What is the rate constant of a first-order reaction that takes 8.50 minutes for the reactant concentration to drop to half of its initial value? Part C A certain first-order reaction has a rate constant of 4.60×10?3 . How long will it take for the reactant concentration to drop to of its initial value?