An automatic packaging apparatus is provided, having a conveyor, a continuous longitudinally folded web, cutting and sealing mechanisms for forming flexible pouches from the web. The apparatus also includes processing stations for loading the pouches, transferring fluids (typically gases) into and out of the pouches, and sealing the pouches. Various alternative methods and devices are provided for separating each sealed pouch from the web by either making a continuous cut across a connecting strip of web material downline of the processing stations or pre-perforating the connecting strip upline of the processing stations. When the connecting strip is pre-perforated, a sealed pouch of sufficient weight may be separated from the web passively by a takeaway conveyor, and a lighter sealed pouch may be separated from the web by a tear-off mechanism that grips and pulls the web.