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Particle size distribution of a sample of spherical granules is represented by the differential frequency distribution qn(x) which is a function of particle diameter x with the graph shown below: qn(x) 0 0.2 0.4 0.8 x (mm) (a) Determine the value of qn(x) for x = 0.4 mm. 2 CP414 Particle Technology Workshop 3 (b) Calculate values of the cumulative frequency distribution Q(x) for the following values of x (in mm): 0.1; 0.2; 0.3; 0.4; 0.5; 0.6; 0.7; 0.8; 0.9 and 1. (c) Derive the formula for Q₁(x) as a function of particle diameter x. Hint: express qn(x) as two separate functions over two ranges of x: 0.2

Particle size distribution of a sample of spherical granules is represented by the differential frequency distribution qn(x) which is a function of particle diameter x with the graph shown below: qn(x) 0 0.2 0.4 0.8 x (mm) (a) Determine the value of qn(x) for x = 0.4 mm. 2 CP414 Particle Technology Workshop 3 (b) Calculate values of the cumulative frequency distribution Q(x) for the following values of x (in mm): 0.1; 0.2; 0.3; 0.4; 0.5; 0.6; 0.7; 0.8; 0.9 and 1. (c) Derive the formula for Q₁(x) as a function of particle diameter x. Hint: express qn(x) as two separate functions over two ranges of x: 0.2

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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W3/T4 (a) 3.33 mm-1 (b) 0; 0; 0.083; 0.333; 0.625; 0.833; 0.958; 1; 1; 1 (c) Qn(x) = 0 8.333x² -3.333x + 0.333 -4.167x² + 6.667x - 1.667 1 (d) 0.47 mm for x ≤ 0.2 mm for 0.2 mm < x≤ 0.4 mm for 0.4 mm < x≤ 0.8 mm for x > 0.8 mm
Transcribed Image Text:W3/T4 (a) 3.33 mm-1 (b) 0; 0; 0.083; 0.333; 0.625; 0.833; 0.958; 1; 1; 1 (c) Qn(x) = 0 8.333x² -3.333x + 0.333 -4.167x² + 6.667x - 1.667 1 (d) 0.47 mm for x ≤ 0.2 mm for 0.2 mm < x≤ 0.4 mm for 0.4 mm < x≤ 0.8 mm for x > 0.8 mm
Particle size distribution of a sample of spherical granules is represented by the differential frequency distribution qn(x) which is a function of particle diameter x with the graph shown below: qn(x) 0 0.2 0.4 0.8 x (mm) (a) Determine the value of qn(x) for x = 0.4 mm. 2 CP414 Particle Technology Workshop 3 (b) Calculate values of the cumulative frequency distribution Qn(x) for the following values of X (in mm): 0.1; 0.2; 0.3; 0.4; 0.5; 0.6; 0.7; 0.8; 0.9 and 1. (c) Derive the formula for Q(x) as a function of particle diameter x. Hint: express qn(x) as two separate functions over two ranges of x: 0.2<x≤0.4 and 0.4<x≤0.8, respectively.
Transcribed Image Text:Particle size distribution of a sample of spherical granules is represented by the differential frequency distribution qn(x) which is a function of particle diameter x with the graph shown below: qn(x) 0 0.2 0.4 0.8 x (mm) (a) Determine the value of qn(x) for x = 0.4 mm. 2 CP414 Particle Technology Workshop 3 (b) Calculate values of the cumulative frequency distribution Qn(x) for the following values of X (in mm): 0.1; 0.2; 0.3; 0.4; 0.5; 0.6; 0.7; 0.8; 0.9 and 1. (c) Derive the formula for Q(x) as a function of particle diameter x. Hint: express qn(x) as two separate functions over two ranges of x: 0.2<x≤0.4 and 0.4<x≤0.8, respectively.
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