Calculate the time in seconds required to reduce the concentration of reactant to half of initial concentration for first order reaction if rate constant is 1.386 10⁻³ ~s ⁻¹

Step-by-step solution

The half-life t_ 1/2 for a first-order reaction is determined by t_ 1/2 = 0.693 k where k = 1.386 10⁻³ , s ⁻¹ is the rate constant. Substituting yields t_ 1/2 = 0.693 1.386 10⁻³ = 500 , s . This corresponds to option D , confirming the answer.