Both power and H2 are produced from a gaseous mixture, comprising H2 and CO2, using first and second pressure swing adsorption (PSA) systems in series. The gaseous mixture is fed at super-atmospheric pressure to the first PSA system, which comprises adsorbent that selectively adsorbs CO2 at said pressure, and CO2 is adsorbed, thereby providing an H2-enriched mixture at super-atmospheric pressure. A fuel stream is formed from a portion of the H2-enriched mixture, which is combusted and the combustion effluent expanded to generate power. Another portion of the H2-enriched mixture is sent to the second PSA system, which comprises adsorbent that selectively adsorbs CO2 at super-atmospheric pressure, and CO2 is adsorbed, thereby providing a high purity H2 product. In preferred embodiments, the division of H2-enriched mixture between forming the fuel stream and being fed to the second PSA system is adjustable.