Most of the values of the exponent (mathrm{n}) in Table 11-3 are positive; however, the exponents for
Question:
Most of the values of the exponent \(\mathrm{n}\) in Table 11-3 are positive; however, the exponents for the cost of packing are negative. Explain why.
Table 11-3
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TABLE 11-3. Reference cost and sizes for use of Eq. (11-5) to determine C. CEPCI = 1000, n is exponent in Eq. (11-5) (Woods, 2007) Size Factor, Range, Ref. cost, Ref. Equipment Column n S S $ size Weight, Mg 0.4- 100,000 8.0 0.58 200.0 Mg Sieve tray, installed, Diameter, 0.9-2.13 2500.0 2.13 0.80 each m 2.13- 2500.0 m 2.01 4.16 2.13 Column + sieve trays Height x 4.0- 545,000 100.0 0.57 Dia 1.5 m2.5 150.0 m2.5 Packing, Pall rings, c/s Packing 2.5-7.6 2500.0/m 2.5 -0.64 Polypropylene Aluminum diameter, 2.5-7.6 1800.0/m cm -0.95 cm 2.5-7.6 3300.0/m 2.5 -0.26 2.7 Column c/s Raschig Height x 0.5-2.8 28,000 2.8 0.65 rings Dia 1.5 m2.5 2.8-85.0 28,000 m2.5 0.9 2.8 Shell & tube heat Area, m 20.0- 70,000 100.0 0.71 exchanger, floating 2000.0 m head U-tube cost 0.87 Kettle reboiler cost x 1.35 Vapor recompression kW 20- 800,000 1000 0.77 refrigeration, 4.4C Volume, m 5000 17,000 kW 0.93 Vertical cylindrical Area, m 0.03-7.0 50,000 1.5 0.79 tank, c/s 7.0-60.0 m Jacketed x 1.2 10.0 Side-entry mixer + m motor x 1.7 Scraped-surface crystallizer, c/s Excludes motor and drive
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The exponents for the cost of packing are negative in Table 113 because the cost of packing decreases as the size of the equipment increases This is counterintuitive because we might expect a larger p...View the full answer
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