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You have a mixture of 80%N2 and 20%CO2 at 300K and 3 bar total pressure on the inside of a vessel (side 0 ). This
You have a mixture of 80%N2 and 20%CO2 at 300K and 3 bar total pressure on the inside of a vessel (side 0 ). This is separated from the outside (side 1) environment ( 300K, 1 bar, 80%N2,20%O2 ) by a thin parallel, periodic composite film (100 micrometers thick) made from a polymer phase with dispersed, constant diameter cylindrical pores incorporated (as in the illustration below) in it. The pores are 0.01 micrometer in diameter. Both gases can diffuse through both the pores and the polymer phase. The volume fraction of the cylindrical pores is 10%. - (2 pts) Which way will CO2 transport from side 0 to side 1 , vica versa, or not at all? - (2 pts) Which way will N2 transport from side 0 to side 1 , vica versa, or not at all? - (16 pts) Calculate the Knudsen number for CO2 and N2. Will the transport through the pores be Knudsen diffusion, molecular diffusion or viscous flow? - (20 pts) Determine the steady state ratio (jcos2/jN2) of the molar flux (ji= moles /m2/s) of CO2 to that of the N2 through this barrier. Assume that compositions on the two sides of the film do not change. Make sure that you have the correct units for everything. If you think it's needed, you may assume: - the total pressure in the pores is the arithmatic average of the conditions on the two sides; - each gas is ideal and moves through the composite barrier independent of any other gas' presence; - ignore any transport of O2 that you think may occur. You have a mixture of 80%N2 and 20%CO2 at 300K and 3 bar total pressure on the inside of a vessel (side 0 ). This is separated from the outside (side 1) environment ( 300K, 1 bar, 80%N2,20%O2 ) by a thin parallel, periodic composite film (100 micrometers thick) made from a polymer phase with dispersed, constant diameter cylindrical pores incorporated (as in the illustration below) in it. The pores are 0.01 micrometer in diameter. Both gases can diffuse through both the pores and the polymer phase. The volume fraction of the cylindrical pores is 10%. - (2 pts) Which way will CO2 transport from side 0 to side 1 , vica versa, or not at all? - (2 pts) Which way will N2 transport from side 0 to side 1 , vica versa, or not at all? - (16 pts) Calculate the Knudsen number for CO2 and N2. Will the transport through the pores be Knudsen diffusion, molecular diffusion or viscous flow? - (20 pts) Determine the steady state ratio (jcos2/jN2) of the molar flux (ji= moles /m2/s) of CO2 to that of the N2 through this barrier. Assume that compositions on the two sides of the film do not change. Make sure that you have the correct units for everything. If you think it's needed, you may assume: - the total pressure in the pores is the arithmatic average of the conditions on the two sides; - each gas is ideal and moves through the composite barrier independent of any other gas' presence; - ignore any transport of O2 that you think may occur
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