For a reaction A product, k = 2 10⁻² s ⁻¹ . If the initial concentration of A is 1.0 mol dm ⁻³ find the value of 1 [A]_t after 100 second ?

Step-by-step solution

The unit of rate constant k is s ⁻¹ , indicating that the reaction is of first order. For a first-order reaction, the integrated rate equation is: k = 2.303 t [A]₀ [A]_t Substituting the given values k = 2 10⁻² s ⁻¹ , t = 100 s , and [A]₀ = 1.0 mol dm ⁻³ : 2 10⁻² = 2.303 100 1.0 [A]_t 2 10⁻² 100 = 2.303 1 [A]_t 2 = 2.303 1 [A]_t 1 [A]_t = 2 2.303 = 0.868 Answer: 0.868