A system for providing a web of inflated containers includes a conveyance system, a detachment arm, and a controller. The conveyance system has an operative mode in which the web is advanced along a path of travel by counter-rotating members having a nip through which at least a portion of the web passes and (ii) an idle mode. The detachment arm is positioned beside the path of travel downstream from the conveyance system. The detachment arm has a separator end to engage the web in the path of travel. The controller is programmed to operatively control the conveyance system to move to: (i) the operative mode to advance the web by a predetermined number of containers and (ii) the idle mode in which a transverse detachment line of the web is aligned with the separator end of the detachment arm.