A first-order reaction takes 46.06 minutes to reach 99 % completion. The rate constant of the reaction is :

Step-by-step solution

For a first-order reaction, the integrated rate law is given by: k = 2.303 t [A]₀ [A]_t Let the initial concentration [A]₀ be 100 . For 99 % completion, the remaining concentration [A]_t is 100 - 99 = 1 . Substituting the given values: k = 2.303 46.06 100 1 k = 2.303 46.06 2 k = 4.606 46.06 k = 0.1 min ⁻¹ Answer: 0.1 min ⁻¹