In a filtration experiment, the slurry in water at 25 °C was filtered through a plate and frame filter system at a constant pressure (-AP) of 300 kpa. The filtration time and the obtained filtrate volume (m³) was recorded as shown in the following table: Time (s) V (m³) Time (s) V (m³) Time (s) V (m³) 10 1.05E-03 50 3.15E-03 90 4.51E-03 20 1.73E-03 60 3.53E-03 100 4.80E-03 30 2.27E-03 70 3.88E-03 110 5.08E-03 40 2.74E-03 80 4.21E-03 120 5.35E-03 The filter' total area was A 0.05 m2 and the slurry concentration was 20 kg/m³. a) Calculate the specific cake resistance a; b) Calculate the total resistance due to the filter medium Rm; c) Calculate the total resistance due to the filter cake Rc when 5 liters of filtrate was collected; d) If we keep the filtration process going, please predict the volume of the total filtrate collected at the filtration time t= 3 min.

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
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c and d please

In a filtration experiment, the slurry in water at 25 °C was filtered through a plate and frame filter
system at a constant pressure (-AP) of 300 kpa. The filtration time and the obtained filtrate
volume (m³) was recorded as shown in the following table:
Time (s)
V (m³)
Time (s)
V (m³)
Time (s)
V (m³)
10
1.05E-03
50
3.15E-03
90
4.51E-03
20
1.73E-03
60
3.53E-03
100
4.80E-03
30
2.27E-03
70
3.88E-03
110
5.08E-03
40
2.74E-03
80
4.21E-03
120
5.35E-03
The filter' total area was A = 0.05 m² and the slurry concentration was 20 kg/m³.
a) Calculate the specific cake resistance a;
b) Calculate the total resistance due to the filter medium Rm;
c) Calculate the total resistance due to the filter cake R. when 5 liters of filtrate was
collected;
d) If we keep the filtration process going, please predict the volume of the total
filtrate collected at the filtration time t= 3 min.
Transcribed Image Text:In a filtration experiment, the slurry in water at 25 °C was filtered through a plate and frame filter system at a constant pressure (-AP) of 300 kpa. The filtration time and the obtained filtrate volume (m³) was recorded as shown in the following table: Time (s) V (m³) Time (s) V (m³) Time (s) V (m³) 10 1.05E-03 50 3.15E-03 90 4.51E-03 20 1.73E-03 60 3.53E-03 100 4.80E-03 30 2.27E-03 70 3.88E-03 110 5.08E-03 40 2.74E-03 80 4.21E-03 120 5.35E-03 The filter' total area was A = 0.05 m² and the slurry concentration was 20 kg/m³. a) Calculate the specific cake resistance a; b) Calculate the total resistance due to the filter medium Rm; c) Calculate the total resistance due to the filter cake R. when 5 liters of filtrate was collected; d) If we keep the filtration process going, please predict the volume of the total filtrate collected at the filtration time t= 3 min.
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