A refill cartridge for a volatile composition includes a reservoir, a volatile composition within the reservoir, and a composite membrane in fluid communication with the reservoir. The composite membrane includes a barrier layer having a thickness of less than about 10 μηι and at least one support layer in contact with the barrier layer, the support layer having a thickness of at least about 10 um. The volatile composition is transported from the reservoir across the composite membrane at a flux of between 1 and 100 g/(m2-hr) at about 25° C. and about 101 kPa.
