An apparatus for compressing air and producing a carbon dioxide-rich fluid includes an air compressor, an element for bringing the air bound for the air compressor into contact with water to produce humidified air and cooled water, a pipe for sending the humidified compressed air from the air compressor to an installation producing a carbon dioxide-rich gas, a carbon dioxide-rich gas compressor for compressing the carbon dioxide-rich gas, at least one heat exchanger upstream and/or downstream the carbon dioxide-rich gas compressor and pipes for conveying into the heat exchanger water cooled in the contact element and the carbon dioxide-rich gas.