An adsorption module and associated processes for conducting advanced separations processes such as sorption enhanced water-gas shift (SEWGS). The adsorption module contains at least one angled baffle to create at least two tapered adsorbent beds within the adsorption module. The taper is such that the adsorbent beds' cross-sections within the adsorption module decrease in the direction of feed flow, thereby taking advantage of increased product purity and process efficiency provided by tapered adsorption beds.