4. [Scrubber]. A coal-fired combustion system produces flue gas that contains particulate matter. To reduce the amount of particles, the flue gas is treated in a scrubber. The measurement of the mass and size of the particles at the inlet and outlet of the scrubber yielded the size distribution data given in the following table: Particle diameter [um] (size interval: dtower → dupper) 0.1 → 0.25 0.25 → 0.5 0.5 → 1.0 1.0→2.0 2.0 → 5.0 5.0 → 10 10 →30 Formulas for question 4: Particle mass at scrubber inlet [mg] 623 55.4 31.4 33.2 123 394 775 1055 - 30→ 50 4.3 The mass of particles in each size interval was measured on a basis of 1 m³. a) What is the overall efficiency of the scrubber? [Ans: noverall 96.7 %] b) Calculate the collection efficiency (na,i) of the scrubber and the particle geometric average diameter (dpi) for each size interval. Create a graph showing the variation of na,i with dp,i. (PTO) • particle geometric average diameter. dp,i = efficiency: nd,i (%) = Particle mass at scrubber outlet [mg] c) Calculate the mass-average diameter of the particles (dp) entering and leaving the scrubber. [Ans: dp inlet = 18.7 μm; dp outlet = 3.9 µm] 21.7 32.3 12.6 8.9 7.1 7.7 6.6 dupper dlower [m¡ (in) - m¡ (out)]. m¡ (in) m₁ = mass of particles in size range i, entering or leaving the scrubber x 100, with: Σ(mi-dpi) mass-average diameter of the particles: dp with: M M = total mass of particles entering or leaving the scrubber 1

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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Question
4. [Scrubber]. A coal-fired combustion system produces flue gas that contains particulate matter. To
reduce the amount of particles, the flue gas is treated in a scrubber. The measurement of the
mass and size of the particles at the inlet and outlet of the scrubber yielded the size distribution
data given in the following table:
Particle diameter [um]
(size interval: dlower → dupper)
0.10.25
0.25 → 0.5
0.5 → 1.0
1.0→2.0
2.05.0
Formulas for question 4:
.
Particle mass at
scrubber inlet [mg]
623
55.4
12.6
8.9
7.1
5.0 10
7.7
10 →30
6.6
30→ 50
4.3
The mass of particles in each size interval was measured on a basis of 1 m²³.
31.4
33.2
123
a) What is the overall efficiency of the scrubber?
[Ans: noverall 96.7 %]
b) Calculate the collection efficiency (na,i) of the scrubber and the particle geometric average
diameter (dpi) for each size interval. Create a graph showing the variation of na,i with dp,i.
(PTO)
efficiency: nd,i (%) =
-
394
775
1055
c) Calculate the mass-average diameter of the particles (dp) entering and leaving the
scrubber.
[Ans: dp inlet 18.7 μm; dp outlet = 3.9 μm]
Particle mass at
scrubber outlet [mg]
particle geometric average diameter. dp,i = √d₂
21.7
32.3
√dupper dlower
[m¡ (in) - m¡ (out)]
m¡ (in)
m₁ = mass of particles in size range i, entering or leaving the scrubber
x 100, with:
Σ(mi'dp,i)
=
mass-average diameter of the particles: dp
with:
M
M = total mass of particles entering or leaving the scrubber
1
Transcribed Image Text:4. [Scrubber]. A coal-fired combustion system produces flue gas that contains particulate matter. To reduce the amount of particles, the flue gas is treated in a scrubber. The measurement of the mass and size of the particles at the inlet and outlet of the scrubber yielded the size distribution data given in the following table: Particle diameter [um] (size interval: dlower → dupper) 0.10.25 0.25 → 0.5 0.5 → 1.0 1.0→2.0 2.05.0 Formulas for question 4: . Particle mass at scrubber inlet [mg] 623 55.4 12.6 8.9 7.1 5.0 10 7.7 10 →30 6.6 30→ 50 4.3 The mass of particles in each size interval was measured on a basis of 1 m²³. 31.4 33.2 123 a) What is the overall efficiency of the scrubber? [Ans: noverall 96.7 %] b) Calculate the collection efficiency (na,i) of the scrubber and the particle geometric average diameter (dpi) for each size interval. Create a graph showing the variation of na,i with dp,i. (PTO) efficiency: nd,i (%) = - 394 775 1055 c) Calculate the mass-average diameter of the particles (dp) entering and leaving the scrubber. [Ans: dp inlet 18.7 μm; dp outlet = 3.9 μm] Particle mass at scrubber outlet [mg] particle geometric average diameter. dp,i = √d₂ 21.7 32.3 √dupper dlower [m¡ (in) - m¡ (out)] m¡ (in) m₁ = mass of particles in size range i, entering or leaving the scrubber x 100, with: Σ(mi'dp,i) = mass-average diameter of the particles: dp with: M M = total mass of particles entering or leaving the scrubber 1
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