A method based on the use of descriptive kinetics of elementary reactions has been proposed for calculating the yields of H2 and H2O2 in concentrated solutions. The influence of scavengers on the primary yields was taken into account by introducing into the scheme of radiation-chemical transformations additional reactions with the radical ion products of water radiolysis that compete with the H2 and H2O2 formation reactions in “spurs.” The proposed calculation scheme allows the change in the initial yields in the presence of scavengers to be directly included in the general scheme of radiation-chemical transformations. The scheme satisfactorily describes the observed yields in concentrated nitrate and nitrite solutions, which form the base medium of liquid radioactive waste to be disposed in geological repositories.