It has known that the intermediates formed in acid reactions occuring during anaerobic reactions for instance, acetic acid, propionic acid and butyric acid have significant effects or the formations of biogases(e. g. mainly CH$_{4}$ and CO$_{2}$). A study on the effects of these intermediates for the formations of biogases, however, is still on initial stage due to the type and structural problems of reactor. The primary objective of this reserch program is to provide a funadmantal mechanism of involved reactions using a modified downflow multistage pecked bed bioreactor. As a first stage of this reaserch program, the following theoretical principles was applied 1. Principle of electroneutrality where the molar concentrations of cation and anion in solution are the same. 2. Relationship between the concentration of bicarbonate anion and pH as follows [HCO$_{3}^{-}$]= $K_{H}P_{T}Y_{CO_{2}}10^{pH-K_{1}}$ Based upon the above two principles, a series of experimental works was conducted to elucidated the relationship between the concentration of CO$_{2}$ and the pH related to the concentrations of cations and anions.