Question: In this experiment, filter area was 440 cm2, the mass of solid per unit volume filtrate was 23.5  g/l, and the temperature of 25 oC.   a) Evaluate α and Rm as a function of pressure drop and fit an empirical equation to the  result for α.  NOTE: Table one has given in the image section

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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Situation: Cake filtration is important in many processes. However, the analysis and design of filtration  operations is still largely dependent on heuristics and experimentation. In industry, constant  rate filtration (CRF) and constant pressure filtration (CPF) are widely used. In this study, the  constant pressure drop are applied to study the efficient of new filtration process. The  laboratory filtration process are conducted at constant pressure drop on a slurry of calcium  carbonate in water give the data shown in Table 1. 

 

Question: In this experiment, filter area was 440 cm2, the mass of solid per unit volume filtrate was 23.5  g/l, and the temperature of 25 oC.  

a) Evaluate α and Rm as a function of pressure drop and fit an empirical equation to the  result for α. 

NOTE: Table one has given in the image section

Table 1: Data for experimental laboratory filtration.
Filtrate
volume V
(L)
0.5
Condition 1
Condition 2
Condition 3
Condition 4
Condition 5
( 3.4 bar)
t (s)
4
( 2.5 bar)
t (s)
(1.95 bar)
t (s)
6
( 1.10 bar)
t (s)
7
(0.45 bar)
t (s)
17
5
1
12
14
19
41
1.5
16
20
24
35
72
25
30
37
53
108
2.5
35
43
52
76
152
3
46
57
69
102
202
3.5
59
73
89
131
4
74
91
110
163
4.5
89
111
134
5
107
133
160
5.5
157
183
Transcribed Image Text:Table 1: Data for experimental laboratory filtration. Filtrate volume V (L) 0.5 Condition 1 Condition 2 Condition 3 Condition 4 Condition 5 ( 3.4 bar) t (s) 4 ( 2.5 bar) t (s) (1.95 bar) t (s) 6 ( 1.10 bar) t (s) 7 (0.45 bar) t (s) 17 5 1 12 14 19 41 1.5 16 20 24 35 72 25 30 37 53 108 2.5 35 43 52 76 152 3 46 57 69 102 202 3.5 59 73 89 131 4 74 91 110 163 4.5 89 111 134 5 107 133 160 5.5 157 183
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