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(c) Calculate the number weighted average length and the length weighted average length of he particles in the sample.

(c) Calculate the number weighted average length and the length weighted average length of he particles in the sample.

Introduction to Chemical Engineering Thermodynamics
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Consider a sample of needle shaped particles with square cross-section of 5 μm x 5 μm and length varying between 20 µm and 200 µm. The differential frequency distribution (number based) for the particle length x is as follows: qn(x) { for x ≤ 20 μm 0.00556 μm-1 for 20 μm < x≤ 200 μm 0 for x > 200 μm 0 CP414 Particle Technology Workshop 3 (a) Calculate the diameters of volume equivalent spheres for particles with length of 20 and 200 μm, respectively. 1 (b) Calculate the cumulative frequency distribution Qn(x) for the particle length and tabulate values of Qn for the following set of particle lengths: 10, 100, and 1000 μm. Sketch the graph of Qn(x), properly indicating ranges of values and corresponding units. (c) Calculate the number weighted average length and the length weighted average length of the particles in the sample.
Transcribed Image Text:Consider a sample of needle shaped particles with square cross-section of 5 μm x 5 μm and length varying between 20 µm and 200 µm. The differential frequency distribution (number based) for the particle length x is as follows: qn(x) { for x ≤ 20 μm 0.00556 μm-1 for 20 μm < x≤ 200 μm 0 for x > 200 μm 0 CP414 Particle Technology Workshop 3 (a) Calculate the diameters of volume equivalent spheres for particles with length of 20 and 200 μm, respectively. 1 (b) Calculate the cumulative frequency distribution Qn(x) for the particle length and tabulate values of Qn for the following set of particle lengths: 10, 100, and 1000 μm. Sketch the graph of Qn(x), properly indicating ranges of values and corresponding units. (c) Calculate the number weighted average length and the length weighted average length of the particles in the sample.
(c) L1,0 = μ1 = 110 µm; L2,1 = µ²/μ₁ = 135 µm
Transcribed Image Text:(c) L1,0 = μ1 = 110 µm; L2,1 = µ²/μ₁ = 135 µm
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