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Separation Process Principles- 2n - Seader &amp; Henley - Solutions Manual

# 0 fecl3 and 400 water 27032 a mass balance for fecl3

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Unformatted text preview: bove spreadsheet analysis are given on the following page. Exercise 17.6 (continued) Number of Particles 1000 100 10 1 1.0 10.0 100.0 Average Particle Size, microns 1000 Cumulative number of particles Cumulative number oversize Cumulative number undersize 100 10 1 1.0 10.0 Particle size, microns 100.0 Exercise 17.7 Subject: Plots of screen analysis and average diameters of a sample of glauber’s salt from a commercial crystallizer. Given: U.S. screen analysis Assumptions: All particles have the same sphericity and volume shape factor. Find: Differential and cumulative undersize and oversize plots. Surface-mean, mass-mean, arithmetic-mean, and volume-mean diameters. Analysis: Use a spreadsheet with apertures for U.S. Mesh from Table 17.4. Results are: U.S. Mesh Number Aperture, Dp, mm 14 16 18 20 25 30 35 40 45 50 60 70 80 Mass retained, grams % Mass retained 1.400 1.180 1.000 0.850 0.710 0.600 0.500 0.425 0.355 0.300 0.250 0.212 0.180 0.0 0.9 25.4 111.2 113.9 225.9 171.7 116.5 55.1 31.5 8.7 10.5 4.4 0.00 0.10 2.90 12.70 13.01 25.80 19.61 13.30 6.29 3.60 0.99 1.20 0.50 875.7 Differential Analysis Average Mass Particle Fraction, Size, mm xi 100.00 Total xDp x/Dp^2 x/Dp^3 0.0010 0.0290 0.1270 0.1301 0.2580 0.1961 0.1330 0.0629 0.0360 0.0099 0.0120 0.0050 0.0008 0.0266 0.1373 0.1668 0.3938 0.3565 0.2876 0.1613 0.1098 0.0361 0.0519 0.0256 0.0013 0.0316 0.1175 0.1015 0.1690 0.1078 0.0615 0.0245 0.0118 0.0027 0.0028 0.0010 0.0006 0.0244 0.1484 0.2138 0.6013 0.6482 0.6219 0.4137 0.3354 0.1314 0.2247 0.1308 0.0005 0.0224 0.1604 0.2741 0.9180 1.1785 1.3447 1.0607 1.0241 0.4777 0.9727 0.6673 1.0000 1.290 1.090 0.925 0.780 0.655 0.550 0.463 0.390 0.328 0.275 0.231 0.196 x/Dp 1.7543 0.6330 3.4945 8.1012 0.30 0.25 Differential Plot M ass Fraction 0.20 0.15 0.10 0.05 0.00 0.0 0.2 0.4 0.6 0.8 Average Particle Size, mm 1.0 1.2 1.4 Exercise 17.7 (continued) Cumulative Analyses U.S. Mesh Number Aperture, Dp, mm Mass retained, grams % Mass retained Aperture, Dp, mm Cumulative Undersize wt% Cumulative Oversize wt% 14 16 18 20 25 30 35 40 45 50 60 70 80 1.400 1.180 1.000 0.850 0.710 0.600 0.500 0.425 0.355 0.300 0.250 0.212 0.180 0.0 0.9 25.4 111.2 113.9 225.9 171.7 116.5 55.1 31.5 8.7 10.5 4.4 0.00 0.10 2.90 12.70 13.01 25.80 19.61 13.30 6.29 3.60 0.99 1.20 0.50 1.4 1.18 1 0.85 0.71 0.6 0.5 0.425 0.355 0.3 0.25 0.212 100.000 99.897 96.997 84.298 71.292 45.495 25.888 12.584 6.292 2.695 1.701 0.502 0.000 0.0000 0.1028 3.0033 15.7017 28.7085 54.5050 74.1121 87.4158 93.7079 97.3050 98.2985 99.4975 100.0000 875.7 100.00 Total 100 90 Cumulative Oversize Cumulative Mass, % 80 Cumulative Undersize 70 60 50 40 30 20 10 0 0.0 0.2 0.4 0.6 0.8 Aperture Size, mm 1.0 1.2 1.4 1.6 Exercise 17.7 (continued) The following equations apply for n screen fractions, i: Surface-mean diameter, (17-7): DS = 1 n i =1 Mass-mean diameter, (17-8): DW = n i =1 where D pi is average aperture xi D pi xi D pi n D pi n xi D pi 1 n xi i =1 Volume-mean diameter, (17-15): i =1 i =1 Arithmetic-mean diameter, (17-12): D...
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