Apump draws water from a storage tank (water surface elevation= 70 ft) through a 6-inch pipe. the pump is at an elevation of 50 ft and its 4-inch diameter delivery pipe terminates at a 3 inch diameter nozzle at an elevation of 80 ft. head losses amount to 5 v^2g in the 6 inch pipe and 12 v^2/2g in the 4 inch pipe. if the pump develops a head of 80 ft, what is the system discharge?

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2