A single-phase distribution transformer supplies four houses. The maximum load is 12 kW at a power factor of 0.78 (lagging). The load voltage is 235 V. The transformer rating is 20 kVA, with a primary voltage of 7.2 kV, a secondary voltage of 240 V, and a leakage reactance of 12%. Calculate the transformer supply voltage.

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