Air enters a household electric furnace at 75°F, 1 atm, with a volumetric flow rate of 800 ft3/min. The furnace delivers air at 120°F, 1 atm to a duct system with three branches consisting of two 6-in.-diameter ducts and a 12-in. duct. The air behaves as an ideal gas. If the velocity in each 6-in. duct is 10 ft/s, determine for steady-state operation
(a) the mass flow rate of air entering the furnace, in lb/s.
(b) the volumetric flow rate in each 6-in. duct, in ft3/min.
(c) the velocity in the 12-in. duct, in ft/s.