Particle size data for a sample of spherical particles is given as volume percentages recorded in the following size ranges: Volume % Diameter x (um) x ≤ 10 10 < x≤ 20 20 < x≤ 40 40 < x≤ 80 80 < x≤ 160 160 < x≤ 320 320 < x 0 0.01 0.09 0.9 9 90 0 (b) Calculate number fractions in the given size ranges using grid points as representative sizes for particles in corresponding size bins. (b) Xi (um) 10 20 40 80 160 320 fi (-) 0 0.134 0.150 0.188 0.235 0.294
Particle size data for a sample of spherical particles is given as volume percentages recorded in the following size ranges: Volume % Diameter x (um) x ≤ 10 10 < x≤ 20 20 < x≤ 40 40 < x≤ 80 80 < x≤ 160 160 < x≤ 320 320 < x 0 0.01 0.09 0.9 9 90 0 (b) Calculate number fractions in the given size ranges using grid points as representative sizes for particles in corresponding size bins. (b) Xi (um) 10 20 40 80 160 320 fi (-) 0 0.134 0.150 0.188 0.235 0.294
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:Particle size data for a sample of spherical particles is given as volume
percentages recorded in the following size ranges:
Volume %
Diameter x
(um)
x ≤ 10
10 < x≤ 20
20 < x≤ 40
40< x≤ 80
80 < x≤ 160
160 < x≤ 320
320 < x
0
0.01
0.09
0.9
9
(b) Calculate number fractions in the given size ranges using grid points as representative
sizes for particles in corresponding size bins.
(b)
Xi (um)
10
20
40
80
160
320
90
0
fi (-)
0
0.134
0.150
0.188
0.235
0.294
Transcribed Image Text:You are given the volume fraction for each size range.
Therefore, you can assume a total volume for all
particles, and then calculate the volume of particles
for each size range. You can then calculate the
volume of one particle in each size range. Dividing
the volume of particles in one size range by the
volume of a single particle in that size range will give
you the number of particles in that size range (based
on the assumed total volume). You can then
determine the number fractions.
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