The effect of the pressure difference on the permeability of carbon di
oxide, oxygen, and nitrogen through annealed LLDPE films is studied. T
he isotherms showing the dependence of the permeability coefficient on
the pressure of the upstream chamber, p(o,) exhibit an anomalous decr
ease in the low-pressure region whose location is shifted to lower val
ues of p(o) as the temperature of the isotherms decreases. The diffusi
on coefficient increases with p(o), the increase being larger the high
er is the temperature. The curves showing the dependence of the solubi
lity coefficient on the pressure of the upstream chamber exhibits the
same pattern as that of the permeability coefficient. The strong depen
dence of the diffusive characteristics of gases on p(o) in the low-pre
ssure region was interpreted in terms of the dual mode theory. The val
ues of the apparent diffusion coefficients for the molecules in the di
ssolved and the trapped modes are estimated. In the same way, the Henr
y's law solubility coefficient, k(D), and the Langmuir sorption capaci
ty, C'(H), are obtained. The values of k(D) and C'(H) for different ga
ses are somewhat lower than those reported for glassy membranes. A det
ailed study on the effect of p(o), on the activation energies associat
ed with both the permeability and the diffusion coefficients is report
ed.