A hollow-fiber module has 4,000 ft2 of membrane surface area based on the inside diameter of the fibers, which are 42 ?m i.d. x 85 ?m 0.d. x 1.2 m long each. Determine:(a) The number of hollow fibers in the module.(b) The diameter of the module, assuming the fibers are on a square spacing of 120 pm center-to-center.(c) The membrane surface area per unit volume of module (packing density) m2/m3. Compare your result with that in Table 14.4.

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Hollow-Fiber Spiral-Wound Plate and Frame Tubular 200 to 800 Moderate 30 to 200 Very good Excellent 500 to 9,000 Packing density, m'/m Resistance to fouling Ease of cleaning Relative cost Main applications 30 to 500 Poor Good Poor Good Fair High Low High RO, UF Low D, RO, GP, UF D, RO, PV, UF, MF D, RO, GP, UF, MF