Using MATLAB Solve the following:

1.Estimate the direct beam solar radiation of the sun for Boston on May 21 at solar noon on a clear day.

2.Using the results in problem 1: For solar noon in Boston in clear sky conditions, estimate a. Direct beam insolation Gbc on a collector that faces 30 toward the southeast if it is tipped up at an angle at 62. b. Diffuse beam, Gdc, insolation striking the same collector in part a. c. Assume the surfaces in front of the front panel have reflectance 0.15. What is to total rate of radiation that strikes the collector on a clear day? d. If the collector is 20m2 of solar photovoltaic panels with 12.5% efficiency, then how much electric power is being produced?

3.Use the results of problem 2c. to compute the total irradiance on the collector and assume this is the irradiance incident to the collector is constant for the entire one hour between 11:30am and 12:30pm. However, assume that the collector is now a breadbox water heater with 10m2 of area: It has 48% total efficiency, and it holds 10 gallons of water in it with initial temperature of 35Celsius. What would the temperature of the water be at 12:30pm?