NOVELTY - Hydrogen fuel cell comprises: an anode; a cathode; an electrolyte; a means for supplying a hydrogen-containing fuel to the fuel cell; and a means for supplying an oxidant to the fuel cell, where the anode and, optionally, the cathode includes a catalyst comprising a palladium-bismuth alloy (I).    USE - The hydrogen fuel cell is useful for: producing hydrogen gas; electrolyzing water; oxidizing hydrogen-containing gas; and generating electric current (all claimed).    ADVANTAGE - The hydrogen fuel cell utilizes the catalyst, which: is capable of catalyzing the electrochemical reactions effectively; can be manufactured in an economical manner; and is resistant to hydride formation, and remain structurally more stable under operating conditions.    DETAILED DESCRIPTION - Hydrogen fuel cell comprises: an anode; a cathode; an electrolyte; an equipment for supplying a hydrogen-containing fuel to the fuel cell; and an equipment for supplying an oxidant to the fuel cell, where the anode and, optionally, the cathode includes a catalyst comprising a palladium-bismuth alloy of formula ((Pd)x(Bi)y(M)z (I).    M = at least one metal;    x = 0.2-0.4;    y = 0.6-0.8;    z = not greater than 0.1; and    x+y+z = 1.    INDEPENDENT CLAIMS are also included for:    (1) a membrane-electrode assembly for the hydrogen fuel cell, comprising a proton conducting membrane, the anode and the cathode, where the anode includes the catalyst comprising (I);    (2) producing hydrogen gas, comprising reducing a proton source using an electrochemical cell having the anode, the cathode and the electrolyte;    (3) a method of electrolyzing water, comprising causing electric current to flow through a cell having the anode, the cathode and the electrolyte;    (4) oxidizing a hydrogen-containing gas, comprising contacting the hydrogen-containing gas with the anode of an electrochemical cell, where the cell has the anode, cathode and electrolyte; and    (5) generating an electric current, comprising supplying a hydrogen containing gas to the hydrogen fuel cell and causing the hydrogen-containing gas to be oxidized at the anode of the hydrogen fuel cell.