The following data were collected in the laboratory on the filtration of a CaCO3 sludge through a washing plate and frame filter press. After assembling the press, the data were taken by noting the time required for the collection of succeeding 5-lb batches of filtrate. Filtrate Collected, lbs. 0 5 10 15 20 25 30 Elapsed-time Interval, in Minutes 0 0.70 0.52 0.65 0.75 1.00 1.08 Temperature: 20°C Area of filter surface: 1.87 ft² Feed Concentration: 5% CaCO3 in Water a. Pressure at the filter inlet is maintained at 6 psig If the total time required for draining, dumping and reassembling the filter is 15 minutes each cycle and the cake is to be washed with volume of water equals to 25% more than the square of the volume of filtrate collected, determine the volume of filtrate that would be collected every 24 hours at optimum operating cycle. b. If a rotary vacuum filter is suggested for the same sludge. The filter is to consist of a cylindrical drum 5 feet in diameter and 5 feet in width, rotating at 8 minutes per revolution, and immersed in an open tank of the sludge at a depth of one-third (3) of the drum diameter. The pressure inside the drum is 4.7 psia. Assuming the resistance of the filter itself to be negligible, how much time will be required to produce 250ft³ of filtrate? c. If a basket centrifugal filter is suggested for the recovery of the same calcium carbonate sludge using a filtration rate same as the rotary drum filter and other pertinent data given below, determine the height of the centrifugal basket. Bowl diameter =70 cm Rotation rate=2200 rpm Material to be filtered = Calcium carbonate slurry Specific cake resistance = 1.65 x 10" m/kg Porosity = 0.60 Specific gravity of CaCO3 = 2.58 PH₂O = 1000 kg m³ and Hн₂O = 1cP Assume that the cake is incompressible, the filter medium resistance is negligible and the liquid surface corresponds to the filter cake surface with a cake thickness of 3 cm.
The following data were collected in the laboratory on the filtration of a CaCO3 sludge through a washing plate and frame filter press. After assembling the press, the data were taken by noting the time required for the collection of succeeding 5-lb batches of filtrate. Filtrate Collected, lbs. 0 5 10 15 20 25 30 Elapsed-time Interval, in Minutes 0 0.70 0.52 0.65 0.75 1.00 1.08 Temperature: 20°C Area of filter surface: 1.87 ft² Feed Concentration: 5% CaCO3 in Water a. Pressure at the filter inlet is maintained at 6 psig If the total time required for draining, dumping and reassembling the filter is 15 minutes each cycle and the cake is to be washed with volume of water equals to 25% more than the square of the volume of filtrate collected, determine the volume of filtrate that would be collected every 24 hours at optimum operating cycle. b. If a rotary vacuum filter is suggested for the same sludge. The filter is to consist of a cylindrical drum 5 feet in diameter and 5 feet in width, rotating at 8 minutes per revolution, and immersed in an open tank of the sludge at a depth of one-third (3) of the drum diameter. The pressure inside the drum is 4.7 psia. Assuming the resistance of the filter itself to be negligible, how much time will be required to produce 250ft³ of filtrate? c. If a basket centrifugal filter is suggested for the recovery of the same calcium carbonate sludge using a filtration rate same as the rotary drum filter and other pertinent data given below, determine the height of the centrifugal basket. Bowl diameter =70 cm Rotation rate=2200 rpm Material to be filtered = Calcium carbonate slurry Specific cake resistance = 1.65 x 10" m/kg Porosity = 0.60 Specific gravity of CaCO3 = 2.58 PH₂O = 1000 kg m³ and Hн₂O = 1cP Assume that the cake is incompressible, the filter medium resistance is negligible and the liquid surface corresponds to the filter cake surface with a cake thickness of 3 cm.
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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Transcribed Image Text:The following data were collected in the laboratory on the filtration of a CaCO3 sludge through a washing plate and
frame filter press. After assembling the press, the data were taken by noting the time required for the collection of
succeeding 5-lb batches of filtrate.
Filtrate Collected, lbs.
0
5
10
15
20
25
30
Elapsed-time Interval, in Minutes
0
0.70 0.52
0.65
0.75
1.00
1.08
Temperature:
20°C
Area of filter surface:
1.87 ft²
Feed Concentration:
5% CaCO3 in Water
a.
Pressure at the filter inlet is maintained at 6 psig
If the total time required for draining, dumping and reassembling the filter is 15 minutes each cycle and the
cake is to be washed with volume of water equals to 25% more than the square of the volume of filtrate
collected, determine the volume of filtrate that would be collected every 24 hours at optimum operating
cycle.
b. If a rotary vacuum filter is suggested for the same sludge. The filter is to consist of a cylindrical
drum 5 feet in diameter and 5 feet in width, rotating at 8 minutes per revolution, and immersed in
an open tank of the sludge at a depth of one-third (3) of the drum diameter. The pressure inside the
drum is 4.7 psia. Assuming the resistance of the filter itself to be negligible, how much time will
be required to produce 250ft³ of filtrate?
c. If a basket centrifugal filter is suggested for the recovery of the same calcium carbonate sludge
using a filtration rate same as the rotary drum filter and other pertinent data given below, determine
the height of the centrifugal basket.
Bowl diameter =70 cm
Rotation rate=2200 rpm
Material to be filtered = Calcium carbonate slurry
Specific cake resistance = 1.65 x 10" m/kg
Porosity = 0.60
Specific gravity of CaCO3 = 2.58
PH₂O = 1000
kg
m³
and Hн₂O = 1cP
Assume that the cake is incompressible, the filter medium resistance is negligible and the
liquid surface corresponds to the filter cake surface with a cake thickness of 3 cm.
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