Water enters the solar heating plate at 65F, and exits the solar heating plate at 112 F, which cools down the plate to an overall average temperature of approximately 150 F. Estimate the surface area of plate (in square meters) that would be required to heat the water for Joe’s house assuming that the flow rate of water through the plate is 200 gallons in 6 hours, and that the average sun angle is 45 degrees, and that the difference between the absorbed solar energy and emitted thermal energy by the plate goes to heating the water that is flowing through the plate. Hint: The plate heats up 200 gallons of water from a temperature of 65F to 112 F in 6 hours