We investigate a system related to a particular isothermal gas-solid chromatography process, called "Pressure Swing Adsorption", with two species and instantaneous exchange kinetics. The particularity of this system is to have a linearly degenerate eigenvalue, which allows the velocity of the gaseous mixture to propagate high frequency waves. In the case of smooth concentrations with a general isotherm, we prove L ∞ stability for concentrations, with respect to weak limits of the inlet boundary velocity. Using the Front Tracking Algorithm (FTA), we prove a L 1 stability for concentrations with bounded variation (BV), under some convex assumptions on the isotherms. In both cases we show that high frequency oscillations with large amplitude of the inlet velocity can propagate without affecting the concentrations.