Abstract: Method and multiple-stage absorber for effecting gradual absorption of a gas in a solvent under controlled conditions so as to obtain a high-enthalpy solution of the gas in the solvent with maximum recuperation of the heat of absorption. This is achieved by passing the solvent and the gas in respectively opposite directions through a plurality of discrete absorption stages so as to form a relatively concentrated solution and recirculating this solution through some or all of said absorption stages, counter-currently to the flow of the solvent, so as to extract heat from some or all of said stages by indirect heat exchange with the fluid in said stages; and extracting additional amounts of heat from some or all of said absorption stages by indirect heat exchange with a coolant fluid which is passed through said stages.