1. As shown in Fig. 1, air with a volumetric flow rate of 15, 000 ft3 /min enters an air-handling unit at 35F, 1 atm. The air-handling unit delivers air at 80F, 1 atm to a duct system with three branches consisting of two 26-inch-diameter circular ducts and one 50-inch diameter circular duct. The velocity in each 26-inch duct is 10 ft/s. Assuming ideal gas behavior for the air, and the process is at steady state, determine.

(a) the mass flow rate of air entering the air-handling unit, in lb/s. (b) the volumetric flow rate in each 26-inch duct, in ft3 /min. (c) the velocity in the 50-inch duct, in ft/s.

(b) the volumetric flow rate in each 26-inch duct, in ft3 /min.

(c) the velocity in the 50-inch duct, in ft/s.