A flow of moist air from a domestic furnace, state 1, is at 45oC, 10% relative humidity with a flow rate of 0.05 kg/s dry air. A small electric heater adds steam at 100oC, 100 kPa generated from tap water at 15oC. Up in the living room the flow comes out at state 4: 30oC, 60% relative humidity. Find the power needed for the electric heater and the heat transfer to the flow from state 1 to state 4.