A design modification to the house in Problem 9.5 is desired. A \(200 \mathrm{ft}^{2}\), vented, \(12 \mathrm{in}\). thick Trombe wall is to be added to the direct gain system. Assuming the same types of glazing and storage as described earlier, determine

(a) the annual heating auxiliary energy needed 

(b) the Trombe wall mass.

Problem 9.5

A \(2000 \mathrm{ft}^{2}\) house in Boston is being designed with NLC-12,000 Btu/F-day and \(150 \mathrm{ft}^{2}\) of direct gain. The direct gain system includes double glazing, nighttime insulation, and \(30 \mathrm{Btu} / \mathrm{ft}^{2} \mathrm{~F}\) thermal storage capacity.