A process for removing carbon dioxide from a hydrocarbon stream during the manufacture of alkenes from alkanes, wherein • a technically oxygen-free gas mixture containing alkanes and an inert gas is directed into a reaction facility containing at least one catalyst bed for dehydrating the used alkane, and • the gas mixture containing formed alkenes, alkanes, hydrogen, the inert gas and carbon dioxide is removed from the reaction facility, and • the acid gas constituents remaining in the process gas, such as carbon dioxide, hydrogen sulphide, carbonyl sulphide and mercaptanes are completely or almost completely absorbed in a gas scrubbing arranged downstream from the dehydration by means of a chemical solvent, characterised in that • the formed adsorbate also containing co-absorbed hydrocarbons is directed to the head of a "high-pressure flash vessel", which contains material exchange elements, and a combustion gas is fed into the sump of the "high-pressure flash vessel", which is conducted in a counter-current to the enriched absorption solution flowing down across the material exchange elements, wherein the largest part of the hydrocarbons contained in the enriched absorption solution and, in particular, the still dissolved alkenes, are desorbed from the solution and leave via the head of the "high-pressure flash vessel", • the combustion gas is a heating gas, which is used for heating the dehydrating reactor and which is branched off, and wherein the heating gas, which is used for heating the dehydrating reactor, is natural gas, and the solvent used in the gas scrubbing is a chemically effective absorption agent, and • in that the chemical solvent used for the gas scrubbing is an aqueous amine solution. • a technically oxygen-free gas mixture containing alkanes and an inert gas is directed into a reaction facility containing at least one catalyst bed for dehydrating the used alkane, and • the gas mixture containing formed alkenes, alkanes, hydrogen, the inert gas and carbon dioxide is removed from the reaction facility, and • the acid gas constituents remaining in the process gas, such as carbon dioxide, hydrogen sulphide, carbonyl sulphide and mercaptanes are completely or almost completely absorbed in a gas scrubbing arranged downstream from the dehydration by means of a chemical solvent, • the formed adsorbate also containing co-absorbed hydrocarbons is directed to the head of a "high-pressure flash vessel", which contains material exchange elements, and a combustion gas is fed into the sump of the "high-pressure flash vessel", which is conducted in a counter-current to the enriched absorption solution flowing down across the material exchange elements, wherein the largest part of the hydrocarbons contained in the enriched absorption solution and, in particular, the still dissolved alkenes, are desorbed from the solution and leave via the head of the "high-pressure flash vessel", • the combustion gas is a heating gas, which is used for heating the dehydrating reactor and which is branched off, and wherein the heating gas, which is used for heating the dehydrating reactor, is natural gas, and the solvent used in the gas scrubbing is a chemically effective absorption agent, and • in that the chemical solvent used for the gas scrubbing is an aqueous amine solution.