An air-water vapor mixture enters a steady flow heater humidifier unit at state 1: 10?C, 10% relative humidity, at the rate of 1 m3/s. A second air-vapor stream enters the unit at state 2: 20?C, 20% relative humidity, at the rate of 2 m3/s. Liquid water enters at state 3: 10?C, at the rate of 400 kg per hour. A single air vapor flow exits the unit at state 4: 40?C. Calculate the relative humidity of the exit flow and the rate of heat transfer to the unit.