A membrane made of 0.15-mm-thick soft rubber separates pure O2 at 1 atm and 25°C from air at 5 atm pressure. Determine the mass flow rate of O2 through the membrane per unit area and the direction of flow.

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Assumptions 1 Steady operating conditions exist. 2 Mass transfer through the membrane is one-dimensional. 3 The permeability of the membrane is constant.

Properties The mass diffusivity of oxygen in rubber at 298 K is DAB = 2.1?10-10 m2/s (Table 14-3b). The solubility of oxygen in rubber at 298 K is 0.00312 kmol / m³.bar (Table 14-7). The molar mass of oxygen is 32 kg / kmol (Table A-1).

Analysis The molar fraction of oxygen in air is 0.21. Therefore, the partial pressure of oxygen in the air is

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