Exhaust air purification process for an exhaust air stream, in particular for an exhaust air stream from a paint shop, a printing plant or a food processing plant, with at least one combustible component in an exhaust air purification device comprising at least one turbine device with a combustion chamber for generating electric current, an adsorption-desorption device connected upstream of the turbine device, which is designed as a rotary adsorber, with an adsorption part, a cooling zone and a desorption part, a first heat exchanger, a second heat exchanger and a catalyst connected downstream of the turbine device; characterized by the following steps: - Introducing a large part of the exhaust air stream into the adsorption section for purification, which leaves the plant as clean gas G via the chimney after purification; - Introducing the smaller part of the exhaust air stream into the cooling zone of the desorption section for cooling the desorption section, which after leaving the cooling zone is heated in the first heat exchanger by catalyst clean gas from the catalyst; - Passing the stream heated in the heat exchanger through the desorption section, enriching the combustible component in the desorbate; - Cooling of the heated desorbate enriched with the combustible component in the second heat exchanger and subsequent reheating; - Burning the desorbate as a first fluid stream together with fuel in the combustion chamber of the turbine device, thereby driving the turbine device to generate electric power; - Purifying the exhaust gas from the turbine device in the catalytic converter. whereby volume flow fluctuations are compensated by a supply air control L. in an exhaust air purification device comprising at least one turbine device with a combustion chamber for generating electric current, an adsorption-desorption device connected upstream of the turbine device, which is designed as a rotary adsorber, with an adsorption part, a cooling zone and a desorption part, a first heat exchanger, a second heat exchanger and a catalyst connected downstream of the turbine device; characterized by the following steps: - Introducing a large part of the exhaust air stream into the adsorption section for purification, which leaves the plant as clean gas G via the chimney after purification; - Introducing the smaller part of the exhaust air stream into the cooling zone of the desorption section for cooling the desorption section, which after leaving the cooling zone is heated in the first heat exchanger by catalyst clean gas from the catalyst; - Passing the stream heated in the heat exchanger through the desorption section, enriching the combustible component in the desorbate; - Cooling of the heated desorbate enriched with the combustible component in the second heat exchanger and subsequent reheating; - Burning the desorbate as a first fluid stream together with fuel in the combustion chamber of the turbine device, thereby driving the turbine device to generate electric power; - Purifying the exhaust gas from the turbine device in the catalytic converter. - Introducing a large part of the exhaust air stream into the adsorption section for purification, which leaves the plant as clean gas G via the chimney after purification; - Introducing the smaller part of the exhaust air stream into the cooling zone of the desorption section for cooling the desorption section, which after leaving the cooling zone is heated in the first heat exchanger by catalyst clean gas from the catalyst; - Passing the stream heated in the heat exchanger through the desorption section, enriching the combustible component in the desorbate; - Cooling of the heated desorbate enriched with the combustible component in the second heat exchanger and subsequent reheating; - Burning the desorbate as a first fluid stream together with fuel in the combustion chamber of the turbine device, thereby driving the turbine device to generate electric power; - Purifying the exhaust gas from the turbine device in the catalytic converter. whereby volume flow fluctuations are compensated by a supply air control L.