Given the rate law for a first-order reaction: Rate = k[A], where Rate is the rate of the reaction, k is the rate constant, and [A] is the concentration of reactant A.We are given the rate of the reaction Rate as 0.05 M/s and the initial concentration of reactant A [A] as 0.1 M. We need to find the rate constant k .Plugging the given values into the rate law equation:0.05 M/s = k 0.1 M To solve for k, divide both sides of the equation by 0.1 M:k = 0.05 M/s / 0.1 M k = 0.5 s^-1 The rate constant k for the decomposition of reactant A is 0.5 s^-1 .