NOVELTY - Purifying gas stream involves contacting gas stream in carbon dioxide absorber (34) with solvent to remove carbon dioxide and to produce low content carbon dioxide stream and loaded solvent stream of high content carbon dioxide; sending a portion of loaded stream to flash drum(s) to regenerate the stream forming semi-lean solvent stream and then returning it to carbon dioxide absorber; cooling other portion of loaded stream; and sending a portion of cooled loaded solvent stream to carbon dioxide absorber, and other portion of the stream to hydrogen sulfide absorber (10).    USE - For purifying gas stream (i.e. synthesis or natural gas stream) to remove carbon dioxide and hydrogen sulfide.    ADVANTAGE - The use of the partial pumparound in the present method allows a decrease in the semi-lean flow rate and associated equipment size of 10-15% compared to not using the partial pumparound at all. The method provides lower temperatures with lower required solvent flow rates or higher capacity for the same flow rate without the need for additional pumps or additional problematic exchangers.    DETAILED DESCRIPTION - Purifying a gas stream involves sending a gas stream through a carbon dioxide absorber unit (34) in which the gas stream is contacted with a solvent to remove carbon dioxide and produces a treated gas stream having a lowered content of carbon dioxide and a loaded solvent stream having an increased content of carbon dioxide; dividing the loaded solvent stream into two portions; sending the loaded solvent stream first portion to at least one flash drum to flash regenerate the loaded solvent stream producing a semi-lean solvent stream and then returning the semi-lean solvent stream to the carbon dioxide absorber unit; cooling the loaded solvent stream second portion to produce a cooled loaded solvent stream; sending a first portion of the cooled loaded solvent stream back to the carbon dioxide absorber unit; and sending a second portion of the cooled loaded solvent stream to a hydrogen sulfide absorber unit (10). After the portion of the loaded solvent stream is cooled, it is mixed with a product stream from the hydrogen sulfide absorber unit. The semi-lean solvent stream returns to the carbon dioxide absorber without passing through a cooler or heat exchanger. The loaded solvent stream comprises a physical solvent.    DESCRIPTION OF DRAWING(S) - The figure shows a flow scheme to use a physical solvent to treat a synthesis gas or other gas stream to remove and concentrate carbon dioxide and hydrogen sulfide.    Feed/product exchanger (4)    Hydrogen sulfide absorber (10)    Sulfur regeneration section (14)    Compressor (20)    Recycle gas cooler (24)    Static mixer (30)    Carbon dioxide absorber (34)    Lean solvent chiller (64)    Loaded solvent pump (70)    Loaded solvent chiller (74)