The following volume distribution was derived from a sieve analysis (a) Estimate the arithmetic mean of the volume distribution. From the volume distribution derive the number distribution and the surface distribution, giving assumptions made. Estimate: (b) the mode of the surface distribution; (c) the harmonic mean of the surface distribution. (d) Show that the arithmetic mean of the surface distribution conserves the surface to volume ratio of the population of particles. Size (μm) Volume % in range 37-45 45-53 53-63 63-75 75-90 90-106 106-126 126-150 150-180 180-212 21.8 27.3 22 0.4 0.4 3.1 11 10.1 3.9 0
The following volume distribution was derived from a sieve analysis (a) Estimate the arithmetic mean of the volume distribution. From the volume distribution derive the number distribution and the surface distribution, giving assumptions made. Estimate: (b) the mode of the surface distribution; (c) the harmonic mean of the surface distribution. (d) Show that the arithmetic mean of the surface distribution conserves the surface to volume ratio of the population of particles. Size (μm) Volume % in range 37-45 45-53 53-63 63-75 75-90 90-106 106-126 126-150 150-180 180-212 21.8 27.3 22 0.4 0.4 3.1 11 10.1 3.9 0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The following volume distribution was derived from a sieve analysis
(a) Estimate the arithmetic mean of the volume distribution.
From the volume distribution derive the number distribution and the surface distribution, giving
assumptions made. Estimate:
(b) the mode of the surface distribution;
(c) the harmonic mean of the surface distribution.
(d) Show that the arithmetic mean of the surface distribution conserves the surface to volume ratio of
the population of particles.
Size (µm) 37-45 45-53 53-63 63-75 75-90 90-106 106-126 126-150 150-180 180-212
Volume % 0.4 3.1 11 21.8 27.3 22
0.4
0
10.1
3.9
in range
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