NOVELTY - A high temperature carbon oxide-lean product gas is produced from a high temperature carbon oxide-containing feed gas by: (1) feeding feed gas to sorption enhanced reactor; (2) contacting feed gas with first adsorbent; (3) contacting carbon dioxide depleted feed gas with shift catalyst; and (4) contacting product mixture with mixture of second adsorbent and shift catalyst.    USE - For producing a high temperature carbon oxide-lead product gas from a high temperature carbon oxide containing feed gas for PEM fuel cell.    ADVANTAGE - The method provides enhanced efficiency for shifting the water gas shift reaction towards the production of carbon dioxide and hydrogen by absorbing carbon dioxide produced by the reaction.    DETAILED DESCRIPTION - Production of a high temperature COx-lean product gas from a high temperature COx-containing feed gas, comprises:    (a) providing a sorption enhanced reactor (10) containing a first adsorbent, a shift catalyst and a second adsorbent;    (b) feeding the feed gas into the reactor, during a reaction step, comprising hydrogen, water, carbon monoxide and carbon dioxide;    (c) contacting the feed gas with the first adsorbent to adsorb an amount of carbon dioxide from the feed gas and provide a carbon dioxide depleted feed gas;    (d) contacting the carbon dioxide depleted feed gas with the shift catalyst to catalyze a shift reaction of carbon monoxide and water to form a product mixture comprising carbon dioxide and hydrogen;    (e) contacting the product mixture with a mixture of the second adsorbent and the shift catalyst to produce the product gas comprising hydrogen (at least 50 vol.%), and carbon dioxide and carbon monoxide (less than 5 combined vol.%);    (f) regenerating the first and second adsorbents; and    (g) repressurizing the reactor with a pressurization gas.    An INDEPENDENT CLAIM is included for an apparatus for performing the process above, comprising a first bed (16) comprising the first adsorbent; a second bed (20) comprising a mixture of the second adsorbent and the shift catalyst; an intermediate bed (18) between, and in fluid communication with the first bed and the second bed, the intermediate bed comprising the shift reaction catalyst; a feed gas inlet at a feed end of the first bed; and a product gas outlet at a product end of the second bed. The first adsorbent and the second adsorbent independently or at least one comprising potassium carbonate promoted hydrotalcites; modified double layered hydroxides having a formula (Mg(1-x)Alx(OH)2)(CO3)x/2yH2OzM12CO3; spinels and modified spinels having a formula Mg(Al2)O4yK2CO3; and magnesium oxide-containing adsorbents having a formula ((M2CO3)m(2MHCO3)(1-m))n(MgCO3)p(MgO)(1-p)xH2O    x = 0.09-0.40;    y, z = 0-3.5;    M1 = Na or K;    M = alkali metal;    m = 0-1;    n = 0-1.3;    p = 0-1;    x = extent of hydration of the adsorbent.    When n equals 0, the magnesium oxide is made by dehydration; and carbon dioxide removal of (MgCO3)y(Mg(OH)2)(1-y)xH2O, in which y is 0.1-0.9, and x indicates an extent of hydration.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic cross-section of a Sorption Enhanced Reaction vessel.    Reactor (10)    First bed (16)    Intermediate bed (18)    Second bed (20)    Insulated walls (22)