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Air heated to 1 atm, 100 F and 40% relative humidity is transported over a 300...

Air heated to 1 atm, 100 F and 40% relative humidity is transported over a 300 foot length of circular sheet metal duct at a volumetric flow of 400 cfm. If the head loss equals 1 inch of water.
Determine the diameter of the duct and the air velocity. You can assume that the inner surface of the duct has a relative roughness (ε / D ≈ 0).

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