where α, w2, w3, and n are constants, 𝑟 NH 3 is the reaction rate in kmol NH 3 /hr/m 3 of catalyst beds, 𝑘 𝑓 is a kinetic constant of the forward reaction, 𝐾 H 2 and 𝐾 NH 3 are the adsorption equilibrium constants for hydrogen and ammonia, respectively. These parameters of are Ru/Ca(NH2)2 and Ru/Pr2O3 catalysts were modeled by the available experimental data (see Supplementary information) through the following equations: