Coll A liquid heating system with a one-cover selective collector with emittance of 0.2 is set up to preheat water from the mains and supply it at T, to a boiler, as shown in the accompanying diagram. The characteristics of the system are as follows: 1020 W/C Zumt 1120W/C FR(Ta), = 0.73 FRUL = 5.10 W/m C Heat exchanger effectiveness 0.60 Capacitance rate on collector side 1020 W/C Capacitance rate on tank side 1120 W/C Collector area 20 m Tank capacity 1000 liters Tank UA 6.0 W/C Supply water temperature 11C Initial tank temperature 35C Hour 10-11 11-12 12-1 1-2 Tank T, The meteorological data and load flow rate for a 4-h period are shown in the following table: IT, MJ/m 0.09 1.75 3.45 2.75 Ta, C 14 17 18 20 To boiler From supply, at 11c Load Flow, kg 150 150 0 150 Make the following assumptions: The controller turns the pump on whenever energy can be collected. The (Ta) for the hours in question are the same as (ta)n. All quantities in the table are constant at their averages over each hour. The tank is fully mixed. The tank is in a room at a constant temperature of 20C. Calculate: a The tank temperature at 2 PM. b The integrated energy balance (over the 4 h) on the tank.