As shown in the figure, air with a volumetric flow rate of 16,000 ft3/min enters an air-handling unit at 80°F, 1 atm. The air-handling unit delivers air at 45°F, 1 atm to a duct system with three branches consisting of two 26-in.-diameter ducts and one 50-in. duct. The velocity in each 26-in. duct is 13 ft/s. Assume steady state operation and ideal gas behavior for the air. 7₂-73-1₁-45°F D₂-D₂-26 in. V₂=V3 D₁-50 in. Duct system Air-handling unit 1- P₁ = P₂ = P = P4 = 1 atm T₁=80°F (AV)₁ Determine the mass flow rate of air entering the air-handling unit, in lb/s, the volumetric flow rate in each 26-in. duct, in ft3/min, and the velocity in the 50-in. duct, in ft/s.

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As shown in the figure, air with a volumetric flow rate of 16,000 ft3/min enters an air-handling unit at 80°F, 1 atm. The air-handling
unit delivers air at 45°F, 1 atm to a duct system with three branches consisting of two 26-in.-diameter ducts and one 50-in. duct. The
velocity in each 26-in. duct is 13 ft/s. Assume steady state operation and ideal gas behavior for the air.
7₂-73-7₁-45°F
D₂-D₂-26 in.
V₂ = V3
D₁-50 in.
Duct
system
Air-handling unit
1- P₁ = P₂ = P₁ = P4 = 1 atm
T₁ = 80°F
(AV),
Determine the mass flow rate of air entering the air-handling unit, in lb/s, the volumetric flow rate in each 26-in. duct, in ft³/min, and
the velocity in the 50-in. duct, in ft/s.
Transcribed Image Text:As shown in the figure, air with a volumetric flow rate of 16,000 ft3/min enters an air-handling unit at 80°F, 1 atm. The air-handling unit delivers air at 45°F, 1 atm to a duct system with three branches consisting of two 26-in.-diameter ducts and one 50-in. duct. The velocity in each 26-in. duct is 13 ft/s. Assume steady state operation and ideal gas behavior for the air. 7₂-73-7₁-45°F D₂-D₂-26 in. V₂ = V3 D₁-50 in. Duct system Air-handling unit 1- P₁ = P₂ = P₁ = P4 = 1 atm T₁ = 80°F (AV), Determine the mass flow rate of air entering the air-handling unit, in lb/s, the volumetric flow rate in each 26-in. duct, in ft³/min, and the velocity in the 50-in. duct, in ft/s.
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