A 2000 ft2 house in Boston is being designed with NLC-12,000 Btu/F-day and 150 ft2 of direct gain. The direct gain system includes double glazing, nighttime insulation, and 30 Btu/ft2 F thermal storage capacity. Using the LCR method, determine
(a) the annual auxiliary heating energy needed by this design and
(b) the storage mass and dimensions required.