A balanced three phase source is supplying a balanced three phase load through a transmission line with impedance of 10+j30 ohm per phase. Load is consuming 300 MW at power factor of 0.8 lagging. Load voltage (line-line) is held constant at kV. Frequency is 60 Hz. 1. Find the real power lost in the line. 2. By adding capacitors power factor is improved to one (unity power factor) find the real power lost in the line.

An open feedwater heater operates at steady state with liquid entering at inlet 1 with t? = 40°c and pl = 1 .2 mpa. water vapor att2-200°c and p2 = 1.2 mpa enters at inlet 2. saturated liquid water exits with a pressure of pa 1.2 mpa. neglect heat transfer with the surroundings and all kinetic and potential energy effects, determine the mass flow rate of steam at inlet 2 if the mass flow rate of liquid water at inlet 1 is given as 2 kg/s.