Half-life equation for first-order reactions: t1/2= .693/k where t1/2 is the half-life in seconds (s), and k is the rate constant in inverse seconds. What is the half-life of a first-order reaction with a rate constant of 1.30×10?4 s^-1? What is the rate constant of a first-order reaction that takes 343 seconds for the reactant concentration to drop to half of its initial value? A certain first-order reaction has a rate constant of 6.90×10?3 s^-1 . How long will it take for the reactant concentration to drop to 1/8 of its initial value?