A simple air purifier is designed to remove tiny particles in the air. In order not to scarify the air flow, a pressure drop of 0.25 atm is permissible. Determine the air velocity if the air purifier (1.5 m height, 0.2 m diameter) is fully packed with activated carbons (5 mm side, total mass of 1200g, density of 1 g/cm3 ). Given that the R=0.082 atm.m3 /kmol.K, and the viscosity of the air is 2.1 x10-5 Pa.s.

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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A simple air purifier is designed to remove tiny particles in the air. In order not to scarify the
air flow, a pressure drop of 0.25 atm is permissible. Determine the air velocity if the air purifier
(1.5 m height, 0.2 m diameter) is fully packed with activated carbons (5 mm side, total mass of
1200g, density of 1 g/cm3
). Given that the R=0.082 atm.m3
/kmol.K, and the viscosity of the air
is 2.1 x10-5 Pa.s.

Vm
Sp
d"v²-np
4n
Reg =
8n-1K
1+ 3n.
89²L
d5 = 4f -
Reg = 390 d-2.05
Heg = 5410.8 d²
-(4)
E = 1-
6
aso
dp
as = aso(1 – €)
d"v²-"p
4n
Rec =
8n-1K (1+ 3n)
6464n
(Rec)critical
(2+n)/(1+n)
(1 + 3n)² (G)
61
d,
aso
PV = nRT
Vm
Sp
6r
dp
aso
(1 - e)²n
= 150
(1– E)P „2
(-ΔΡ)
v+ 1.75
e*d,?
L
A²(-AP)
Ap
dt
nG+ AR,)
Vrep
Vr(1– e)Pp
1- MS
M = 1+
C =
αρS
Transcribed Image Text:Vm Sp d"v²-np 4n Reg = 8n-1K 1+ 3n. 89²L d5 = 4f - Reg = 390 d-2.05 Heg = 5410.8 d² -(4) E = 1- 6 aso dp as = aso(1 – €) d"v²-"p 4n Rec = 8n-1K (1+ 3n) 6464n (Rec)critical (2+n)/(1+n) (1 + 3n)² (G) 61 d, aso PV = nRT Vm Sp 6r dp aso (1 - e)²n = 150 (1– E)P „2 (-ΔΡ) v+ 1.75 e*d,? L A²(-AP) Ap dt nG+ AR,) Vrep Vr(1– e)Pp 1- MS M = 1+ C = αρS
Heg=0 10104105 106 107 108 10°
01
Realomcal
0.01
0.0014
10
102
103
104
105
106
Rea
Figure 1: Friction factor for Herschel-Bulkley fluids.
1.0
0.20
0.9
0.50
Laminar Flow
V 0.8
Vmax
.0.75
1.00
1.50
2.00
n=0.20
0.7
Turbulent Flow
0.6
n-0.50
n=0.75
n1.00
0.5
n-1.50
A-2.00
0.4
0.3
10
102
103
104
105
106
Rea
Figure 2: Variation (V/Vmax) as a function of the generalized Reynolds number for power
law fluids.
Transcribed Image Text:Heg=0 10104105 106 107 108 10° 01 Realomcal 0.01 0.0014 10 102 103 104 105 106 Rea Figure 1: Friction factor for Herschel-Bulkley fluids. 1.0 0.20 0.9 0.50 Laminar Flow V 0.8 Vmax .0.75 1.00 1.50 2.00 n=0.20 0.7 Turbulent Flow 0.6 n-0.50 n=0.75 n1.00 0.5 n-1.50 A-2.00 0.4 0.3 10 102 103 104 105 106 Rea Figure 2: Variation (V/Vmax) as a function of the generalized Reynolds number for power law fluids.
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