A monolithic membrane element, of the type shown in figure d, contains 19 flow channels that are 0.5 cm in inside diameter by 0.85 m long. If nine of these elements are placed into a cylindrical module of the type shown in figure, determine reasonable values for:(a) Module volume in m3.(b) Packing density in m2/m3. Compare your value with values for other membrane modules given in Table14.4.

Porous support Membrane Channei Permeate (d) Retentate Feed 5,500 kPa 30C 5,450 kPa 30C Membrane separator kmol/h kmol/h N2 CH 200 N2 CH, 20 800 1,000 Permeate 100 kPa 30C kmol/h N2 CH 180 Tubular Hollow-Fiber Plate and Frame Spiral-Wound Packing density, m'/m Resistance to fouling Ease of cleaning 500 to 9,000 30 to 200 30 to 500 200 to 800 Very good Poor Good Moderate Excellent Poor Fair Good Low High RO, UF High Low Relative cost D, RO, GP, UF Main applications D, RO, PV, UF, MF D, RO, GP, UF, MF