NOVELTY - The apparatus (A) forms carbon by reaction of carbon dioxide with oxygen-deficiency ferrite chosen from iron, manganese, cobalt, nickel, copper, zinc, strontium and barium. The carbon is made to react with hydrogen in reaction chamber (1). The reaction chamber blocks (2) are radially isolated from the center and rotated centering on a center axis. Carbon dioxide is sequentially introduced into the chambers maintained at 250-800 degrees C. Hydrogen is introduced into the chamber blocks while maintaining a temperature of 500-800 degrees C for manufacturing methane and water.    USE - Apparatus for manufacturing methane from carbon dioxide discharged from combustion furnace, heating furnace and, in atmosphere (all claimed). Can also be used in manufacturing methane from carbon dioxide discharged from engine of vehicle and industrial installation.    ADVANTAGE - The oxygen-deficiency ferrite can be utilized efficiently and the generated carbon can be efficiently converted into methane. Structure of the manufacturing apparatus can be simplified. Global warming can be prevented by utilizing carbon dioxide discharged from combustion furnace, heating furnace and, existing in atmosphere for the manufacture of methane.    DETAILED DESCRIPTION - The apparatus includes carbon dioxide introduction unit (3) and hydrogen introduction units (4,4',4'') for introducing carbon dioxide and hydrogen into the reaction chambers and a support carrier of honeycomb structure made of ceramics. The unreacted carbon dioxide is extracted from the reaction chambers which are filled with spinel ferrite nanoparticles before hydrogen introduction. The apparatus also manufactures methane from oxygen deficiency magnetite, and the number of reaction chambers varies in the range of 3-20,5-15 or 5-10.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic diagram of the methane manufacturing apparatus.    Reaction chamber (1)    Reaction chamber blocks (2)    Carbon dioxide introduction unit (3)    Hydrogen introduction units (4,4',4'')    Methane manufacturing apparatus (A)