TASK 1: A suspension is divided in two different aliquots containing 24 mL of solvent phase. Each aliquot is filtered under constant pressure conditions using different filtration conditions: slurry A is filtered using a pressure drop of 200 mbar, while slurry B is filtered using a pressure drop of 700 mbar. The diameter of the Nutsche filter is 27 mm. The slurry comprises ethanol (solvent density 0.789 g/cm³ and dynamic viscosity 1.095 cP) and spherical particles. Volume of cake formed by the passage of unit volume of filtrate is equal to 3. Filtration flow rate and time/volume of filtrate versus volume of filtrate removed during filtration for the two slurries are reported in the tables below. Slurry A Filtrate Volume A (mL) Filtrate Volume A (m³) Time A (s) Time/Volume A (s/m³) 0 0 0 15 1.5 x 10-5 22 2.2 x 10-5 24 2.4 x 10-5 Slurry B Filtrate Volume B (mL) Filtrate Volume B (m³) 0 0 12 1.2 x 10-5 20 24 Time/Filtrate volume (s/m³) 2.5E+06 2.0E+06 1.5E+06 1.0E+06 From the filtration of slurries A and B, the graph of time/filtration volume is shown below. For each filtration a linear fit is shown. 5.0E+05 0.0E+00 2 x 10-5 2.4 x 10-5 -Filtration A -Filtration B 0.E+00 10 15 18 Time B (s) Time/Volume B (s/m³) 0 15 34 47 N/A 6.67 x 105 6.82 x 105 7.5 x 105 N/A 1.25 x 106 1.7 x 106 1.96 x 106 CP414 Particle Technology Workshop 7 y = 8.12E+10x + 9.03E+04 1.E-05 2.E-05 Filtrate volume (m³) y = 3.10E+10x + 5.18E+04 1 3.E-05 (a) Calculate the compressibility index, n (-). (b) Identify if the cake is incompressible, compressible or highly compressible, to understand if Darcy's law is valid for this suspension.
TASK 1: A suspension is divided in two different aliquots containing 24 mL of solvent phase. Each aliquot is filtered under constant pressure conditions using different filtration conditions: slurry A is filtered using a pressure drop of 200 mbar, while slurry B is filtered using a pressure drop of 700 mbar. The diameter of the Nutsche filter is 27 mm. The slurry comprises ethanol (solvent density 0.789 g/cm³ and dynamic viscosity 1.095 cP) and spherical particles. Volume of cake formed by the passage of unit volume of filtrate is equal to 3. Filtration flow rate and time/volume of filtrate versus volume of filtrate removed during filtration for the two slurries are reported in the tables below. Slurry A Filtrate Volume A (mL) Filtrate Volume A (m³) Time A (s) Time/Volume A (s/m³) 0 0 0 15 1.5 x 10-5 22 2.2 x 10-5 24 2.4 x 10-5 Slurry B Filtrate Volume B (mL) Filtrate Volume B (m³) 0 0 12 1.2 x 10-5 20 24 Time/Filtrate volume (s/m³) 2.5E+06 2.0E+06 1.5E+06 1.0E+06 From the filtration of slurries A and B, the graph of time/filtration volume is shown below. For each filtration a linear fit is shown. 5.0E+05 0.0E+00 2 x 10-5 2.4 x 10-5 -Filtration A -Filtration B 0.E+00 10 15 18 Time B (s) Time/Volume B (s/m³) 0 15 34 47 N/A 6.67 x 105 6.82 x 105 7.5 x 105 N/A 1.25 x 106 1.7 x 106 1.96 x 106 CP414 Particle Technology Workshop 7 y = 8.12E+10x + 9.03E+04 1.E-05 2.E-05 Filtrate volume (m³) y = 3.10E+10x + 5.18E+04 1 3.E-05 (a) Calculate the compressibility index, n (-). (b) Identify if the cake is incompressible, compressible or highly compressible, to understand if Darcy's law is valid for this suspension.
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
Related questions
Question
answers = (a) 2.58 for suspension A and 2.49 for suspension B
show working on how to reach these please
Transcribed Image Text:TASK 1:
A suspension is divided in two different aliquots containing 24 mL of solvent phase. Each
aliquot is filtered under constant pressure conditions using different filtration conditions: slurry
A is filtered using a pressure drop of 200 mbar, while slurry B is filtered using a pressure drop
of 700 mbar. The diameter of the Nutsche filter is 27 mm.
The slurry comprises ethanol (solvent density 0.789 g/cm³ and dynamic viscosity 1.095 cP)
and spherical particles. Volume of cake formed by the passage of unit volume of filtrate is
equal to 3. Filtration flow rate and time/volume of filtrate versus volume of filtrate removed
during filtration for the two slurries are reported in the tables below.
Slurry A
Filtrate Volume A (mL) Filtrate Volume A (m³) Time A (s)
0
0
0
1.5 x 10-5
10
15
18
15
22
24
Slurry B
Filtrate Volume B (mL)
0
12
20
24
Time/Filtrate volume (s/m³)
2.5E+06
2.0E+06
1.5E+06
From the filtration of slurries A and B, the graph of time/filtration volume is shown below. For
each filtration a linear fit is shown.
1.0E+06
5.0E+05
0.0E+00
2.2 x 10-5
2.4 x 10-5
0.E+00
Filtrate Volume B (m³)
0
1.2 x 10-5
2 x 10-5
2.4 x 10-5
- Filtration A
- Filtration B
Time/Volume A (s/m³)
N/A
6.67 x 105
6.82 x 105
7.5 x 105
Time B (s) Time/Volume B (s/m³)
0
15
34
47
N/A
1.25 x 106
1.7 x 106
1.96 x 106
CP414 Particle Technology Workshop 7
y = 8.12E+10x + 9.03E+04
1.E-05
2.E-05
Filtrate volume (m³)
y = 3.10E+10x + 5.18E+04
3.E-05
(a) Calculate the compressibility index, n (-).
(b) Identify if the cake is incompressible, compressible or highly compressible, to understand
if Darcy's law is valid for this suspension.
Transcribed Image Text:150(1-8)²
Xv8³
Cake compressibility index: In a = n ln AP
Constant pressure drop filtration:
Filtration cake resistance: α =
=
αφμ
2A² (-AP)
V +
RmQμ
A²(-AP)
Vea
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