Spherical polymer beads are available in three different sizes, with diameters 0.1, 0.33 and 1 mm, respectively. 10 g of 0.1 mm beads, 100 g of 0.33 mm beads and 1000 g of 1 mm beads were mixed together to prepare a powder sample for a laboratory test. The density of polymer is 1100 kg/m3 . (a) Calculate the number of beads of each size in the powder sample. (b) Tabulate the cumulative frequency distribution Qn (number based) of the bead diameters in the powder sample. (c) Calculate the number weighted average diameter and the surface weighted average diameter of the beads in the powder sample

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Spherical polymer beads are available in three different sizes, with diameters 0.1, 0.33 and 1 mm, respectively. 10 g of 0.1 mm beads, 100 g of 0.33 mm beads and 1000 g of 1 mm beads were mixed together to prepare a powder sample for a laboratory test. The density of polymer is 1100 kg/m3 . (a) Calculate the number of beads of each size in the powder sample. (b) Tabulate the cumulative frequency distribution Qn (number based) of the bead diameters in the powder sample. (c) Calculate the number weighted average diameter and the surface weighted average diameter of the beads in the powder sample.

 

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(a) 1.74 x 107; 4.83 x 106; 1.74 x 106
(b)
Diameter x; (mm) Cumulative frequency distribution
Qn(xi) (by number)
0.725
0.927
1
0.1
0.33
1
(c) d1,0 = 0.21 mm; d3,2 = 0.79 mm
Transcribed Image Text:(a) 1.74 x 107; 4.83 x 106; 1.74 x 106 (b) Diameter x; (mm) Cumulative frequency distribution Qn(xi) (by number) 0.725 0.927 1 0.1 0.33 1 (c) d1,0 = 0.21 mm; d3,2 = 0.79 mm
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