Calculate the make up rate of the water by doing a material balance between the water stream and the air stream. Show your steps of calculation

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Calculate the make up rate of the water by doing a material balance between the water stream and the air stream. Show your steps of calculation. (Attached are the datasets)
USEFUL INFORMATION
1. Orifice Constant:
where th
= 0.0137
5. Packing Data
x
V₂
Dry air mass flow rate (kg s¹¹)
X = Orifice differential (mm H₂O)
VB = Specific volume of steam and air mixture leaving top of column (m³ kg-¹)
va₂ = Specific volume of dry air leaving top of column (m³ kg'¹)
@ Specific humidity of air leaving top of the column (kg kg-¹)
Number of Decks
Number of Plates per Deck
Total Surface Area of Packing
Height of Packing
Packing "Density" Area
Vol
2. Energy Transferred to Water by Pump: 0.1kW
3. Water Capacity of System: 3.0 litre (excluding make-up tank)
4. Dimensions of Column: 150mm x 150mm x 600mm high.
6. Constants and Conversion Factors
Specific heat capacity of water (Cp):
Specific heat capacity of air (Cp):
1 bar = 10' N m² = 100 kN m²
1 kW = 3412 Btu h¹¹
m²
= 0.0137
m
m'¹
A
8
7
0.83
0.48
77
x
1 + w₂ )vaz
4.18 kJ kg¹¹ K¹
1.005 kJ kg¹¹ K-¹
For air, R = 0.2871 kJ kg¹ K-¹
For steam (H₂O), M = 18 kg(kg mole).¹
Universal Gas Constant (Ro) = 8.3143 kJ (kg mole)*¹ K-¹
B
8
10
1.19
0.48
110
с
8
18
2.16
0.48
200
7. Note: The heating elements are rated (subject to a manufacturing tolerance) at 240V. At other
voltages, the nominal rating should be multiplied by (local voltage)².
240
Transcribed Image Text:USEFUL INFORMATION 1. Orifice Constant: where th = 0.0137 5. Packing Data x V₂ Dry air mass flow rate (kg s¹¹) X = Orifice differential (mm H₂O) VB = Specific volume of steam and air mixture leaving top of column (m³ kg-¹) va₂ = Specific volume of dry air leaving top of column (m³ kg'¹) @ Specific humidity of air leaving top of the column (kg kg-¹) Number of Decks Number of Plates per Deck Total Surface Area of Packing Height of Packing Packing "Density" Area Vol 2. Energy Transferred to Water by Pump: 0.1kW 3. Water Capacity of System: 3.0 litre (excluding make-up tank) 4. Dimensions of Column: 150mm x 150mm x 600mm high. 6. Constants and Conversion Factors Specific heat capacity of water (Cp): Specific heat capacity of air (Cp): 1 bar = 10' N m² = 100 kN m² 1 kW = 3412 Btu h¹¹ m² = 0.0137 m m'¹ A 8 7 0.83 0.48 77 x 1 + w₂ )vaz 4.18 kJ kg¹¹ K¹ 1.005 kJ kg¹¹ K-¹ For air, R = 0.2871 kJ kg¹ K-¹ For steam (H₂O), M = 18 kg(kg mole).¹ Universal Gas Constant (Ro) = 8.3143 kJ (kg mole)*¹ K-¹ B 8 10 1.19 0.48 110 с 8 18 2.16 0.48 200 7. Note: The heating elements are rated (subject to a manufacturing tolerance) at 240V. At other voltages, the nominal rating should be multiplied by (local voltage)². 240
(b) By using the psychrometric chart, fill up the table below for mass balance.
Set 1
w[kg/kg dry
air]
v[m³/kg dry
air]
Inlet (A)
Outlet (B)
Set 2
ONLY
Inlet (A)
Outlet (B)
0.013
Inlet (A)
Outlet (B)
0.017
co[kg/kg dry
air]
0.014
0.019
61
0.86
68
v¯[m³/kg dry
air]
0.87
62
74
[kg dry air/s]
m₂
(c) By using the psychrometric chart, fill up the table below for energy balance.
het 2 [kJ/kg dry air]
het i [kJ/kg dry
air]
0.0586
[kg dry air/s]
m₂
0.0582
I
Transcribed Image Text:(b) By using the psychrometric chart, fill up the table below for mass balance. Set 1 w[kg/kg dry air] v[m³/kg dry air] Inlet (A) Outlet (B) Set 2 ONLY Inlet (A) Outlet (B) 0.013 Inlet (A) Outlet (B) 0.017 co[kg/kg dry air] 0.014 0.019 61 0.86 68 v¯[m³/kg dry air] 0.87 62 74 [kg dry air/s] m₂ (c) By using the psychrometric chart, fill up the table below for energy balance. het 2 [kJ/kg dry air] het i [kJ/kg dry air] 0.0586 [kg dry air/s] m₂ 0.0582 I
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