A series of ferrospinels containing Co and Cu having the general formula Cu1-xCoxFe2O4 (where x = 0, 0.25, 0.50, 0.75 and 1) was prepared by adopting a soft chemical route. The reaction of phenol and methanol was studied in a vertical, downflow, integral silica reactor by reacting phenol and methanol using the above set of catalysts. The reaction equilibrium composition and equilibrium rate constant were determined experimentally in the temperature range 553-673K for phenol methylation to 2-methyl phenol (reaction I), consecutive methylation of 2-methyl phenol to 2,6-dimethyl phenol (reaction II) and simultaneous addition of two methyl groups at a time, i.e: parallel reaction (reaction III), for all the catalysts. The standard molar reaction properties were obtained at 298K. The equilibrium reaction rate expressions for reactions I, II and III are described. The comparison between theoretical and experimental reaction equilibrium rate constant values in the temperature range 553-673K is presented. At 623K, the consecutive reaction equilibrium rate constant K, (reaction I) together with K-2 (reaction II) was more favoured than K-3 (reaction III), signifying comparative feasibility of the consecutive pathway for formation of 2,6-dimethyl phenol from phenol through 2-methyl phenol over its direct formation from phenol for the catalyst Cu0.50Co0.50Fe2O4.