An apparatus for deionization of a liquid is disclosed. The apparatus has a number of deionization cells, each cell having two different types of electrodes. The first type of electrode is formed from a high surface area absorptive material ("HSAAM electrode") made from resorcinol, formaldehyde, a carbon reinforcing agent, a catalyst, and reaction products thereof, and is in a carbonized form. This electrode removes ions when an electric current is applied. The second type of electrode, which does not remove ions, is formed from a non-HSAAM material. Each deionization cell has a single HSAAM electrode bordered on either side by a non-HSAAM electrode, and adjacent deionization cells do not share any electrodes of either type. The non-HSAAM electrodes are formed from carbon cloth or carbon felt fixed to one side of a plexiglass sheet, and two such sheets are needed to form a cell. The other side of each of these sheets is also provided with a carbon cloth, or carbon felt electrode, electrically isolated from that fixed to the first side. A method of making the HSAAM electrodes for the apparatus is also disclosed. The HSAAM electrodes are formed from setting a polymerized mixture of resorcinol, formaldehyde and a carbon reinforcing agent supplied in the form of carbon fibers, carbon felt or cellulose under controlled temperature and time constraints, and subsequently firing the resulting product so as to carbonize the electrode. The resulting electrodes are of a sufficient thickness to support their own weight when placed on end.