Abstract: A method of removing organic compounds from an air/permanent gas mixture. This mixture, as untreated medium, is conveyed to a first gas separation membrane and is divided into a filtrate gas stream that is concentrated with organic compounds and a retained gas stream that is depleted of organic compounds. The concentrated filtrate is conveyed to a recovery device for the recovery of organic compounds therefrom. The pressure of the air/permanent gas mixture is raised prior to entry thereof into the first gas separation membrane. The pressure of the concentrated filtrate is reduced after exit thereof from the first gas separation membrane. The depleted gas stream is discharged into the atmosphere, and the gas stream that exits the recovery device is returned to the air/permanent gas mixture at some point subsequent to the pressure increase thereof.