A low temperature air separation process and apparatus for producing pressurized gaseous product in an air separation unit using a system of distillation columns which include cooling a compressed air stream in a heat exchange line to form a compressed cooled air stream, sending at least part of the compressed, cooled air stream to a column of the system, liquefying a process stream to form a first liquid product, storing at least part of the first liquid product in a storage tank, sending at least part of the above first liquid product from the storage tank to the air separation unit as one of the feeds, extracting at least one second liquid product stream from a column of the column system and pressurizing the at least one second liquid product stream, vaporizing the above pressurized second liquid product stream to form pressurized gaseous product in the heat exchange line and extracting a cold gas without warming it completely in the heat exchange line.