Parameter values in mathematical model that described the liquid-solid diffusion process were estimated with experimental data by means of parameter estimation, and a valid method of computing diffusion coefficient was introduced. The experiment showed that the leaching process can be described as a diffusion process that was applied to Fick's law; the precision of the mathematical model was determined by the extent of eliminating the effect of outer diffusion; and the relation between diffusion coefficient and temperature at different temperatures was acquired as well. The diffusion coefficient and temperature was drawn by this method conformed to Arrhenius equation, and furthermore, by comparison with the conventional method, the model had less experimental parameters, better regularity, simpler computational process, etc.