For a zero order reaction, the rate constant is 1.5 10⁻³ mol L ⁻¹ s ⁻¹ . If the half-life of the reaction is 100 s , what is the initial concentration of the reactant?

Step-by-step solution

For a zero order reaction, the half-life is given by: t_ 1/2 = [A]₀ 2k Rearranging for initial concentration [A]₀ : [A]₀ = 2 k t_ 1/2 Substituting the given values: [A]₀ = 2 (1.5 10⁻³ mol L ⁻¹ s ⁻¹) 100 s [A]₀ = 3.0 10⁻³ 100 = 0.30 M Answer: 0.30 M