NOVELTY - The method comprises producing a solid oxide, non-electrically conductive, unitary ceramic monolith framework including a first porous electrode scaffold having graded pores, a second porous electrode scaffold having graded pores and a thin electrolyte layer disposed between the first and the second electrode scaffolds, and impregnating the graded pores of the first porous electrode scaffold with an electrically conductive liquid metal material and impregnating the graded pores of the second porous electrode scaffold with an electrically conductive active cathode material.    USE - The method is useful for making a symmetrical bi-electrode supported solid oxide fuel cell (all claimed), which is useful for aerospace, automotive or stationary applications.    ADVANTAGE - The method is capable of easily and economically making the gas sealable and efficient fuel cell with high power density, increased electrical contact resistance, lightweight and improved durability.    DETAILED DESCRIPTION - The method comprises producing a solid oxide, non-electrically conductive, unitary ceramic monolith framework including a first porous electrode scaffold having graded pores, a second porous electrode scaffold having graded pores and a thin electrolyte layer disposed between the first and the second electrode scaffolds, and impregnating the graded pores of the first porous electrode scaffold with an electrically conductive liquid metal material and impregnating the graded pores of the second porous electrode scaffold with an electrically conductive active cathode material. The step of impregnating the graded pores of the first porous electrode scaffold with the liquid metal material includes masking or plugging flow channels of the second porous electrode with a polymer. The graded pores of the first porous electrode have a first diameter at a first distance from the electrolyte layer and a second diameter at a second distance from the electrolyte layer. The second diameter is greater than the first diameter, and the second distance is greater than the first distance. The liquid metal reacts with hydrocarbon fuel, and the second porous electrode reacts with oxygen to produce electrical current. The hydrocarbon is used as fuel without prior removal of sulfur. The oxygen ions react with the liquid metal to form a metal oxide. The metal reacts with the hydrocarbon fuel to reduce the metal oxide to a metallic state. The graded pores of the first porous electrode and the second porous electrode extend perpendicular to the electrolyte layer. A diameter of the graded pores increases in size as the first porous electrode and the second porous electrode extends away from the electrolyte layer. An INDEPENDENT CLAIM is included for a symmetrical bi-electrode supported solid oxide fuel cell.    DESCRIPTION OF DRAWING(S) - The figure shows an oblique schematic view of a monolithic two-cell solid oxide fuel cell.    Fuel cell stack (70)    Single interconnect (72)    Fuel cells (74)    Porous cathode electrodes faces (75)    Anode electrode faces. (77)