Method for processing a gaseous composition

A process for treating a gaseous material mixture that has been obtained by catalytic conversion of synthesis gas recovered from smelter gases, CO- or CO2-rich gases, hydrogen, or biomass, wherein the gaseous material mixture contains at least alkenes and alcohols, the process comprising:

• after the catalytic conversion of the synthesis gas, separating a product mixture obtained in the catalytic conversion into a gas phase and a liquid phase by at least partial absorption of the alkenes in a high boiling point hydrocarbon or hydrocarbon mixture as an absorption medium;
• separating as the gas phase gases not absorbed into the absorption medium;
• and
• separating an aqueous phase from an organic phase of the absorption medium;
• desorption of the alkenes from the absorption medium,
• wherein the high boiling point hydrocarbon or the hydrocarbon mixture used as the absorption medium comprises a diesel oil or an alkane with a viscosity of less than 10 mPa·s at an ambient temperature and a boiling point of more than 200° C.