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: McGraw-Hill Education
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Convective Mass Transfer between Phases
Mass transfer means the transport or movement of mass using streams, phases, components, and so on from one location to another.
Question

Heat Transfer Question

Solve d)

In a filtration experiment, the slurry in water at 25 °C was filtered through a plate and frame filter system at a constant pressure (−ΔP) of 300 kPa. The filtration time and the obtained filtrate volume (m³) were 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's total area was A = 0.05 m² and the slurry concentration was 20 kg/m³. a) Calculate the specific cake resistance \( \alpha \); b) Calculate the total resistance due to the filter medium \( R_m \); c) Calculate the total resistance due to the filter cake \( R_c \) 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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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 (−ΔP) of 300 kPa. The filtration time and the obtained filtrate volume (m³) were 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's total area was A = 0.05 m² and the slurry concentration was 20 kg/m³. a) Calculate the specific cake resistance \( \alpha \); b) Calculate the total resistance due to the filter medium \( R_m \); c) Calculate the total resistance due to the filter cake \( R_c \) 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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