For a first-order reaction, the rate law is given by:Rate = k[A]where Rate is the rate of the reaction, k is the rate constant, and [A] is the concentration of the reactant in this case, hydrogen peroxide .We are given the rate of decomposition Rate as 0.050 mol/Ls and the concentration of hydrogen peroxide [A] as 2.00 mol/L. We need to find the rate constant k .Plugging the given values into the rate law equation:0.050 mol/Ls = k 2.00 mol/L Now, we can solve for k:k = 0.050 mol/Ls / 2.00 mol/L = 0.025 s^-1 The rate constant for the decomposition of hydrogen peroxide at 25C is 0.025 s^-1 .