A homeowner turns down the thermostat from T_s =18.3 ^◦C to T^′_s = 16.3 ^◦C for t_total = 8 h every night. Including the effects of reheating, compute the fraction of heating energy saved compared with leaving the other most at set at 18.3 ^◦C throughout. Assume that the outside temperature remains fixed at 0 ^◦C. First calculate the time Δt that the heat is off while the dwelling cools by 2 ^◦C. Then compute the energy saved at the low thermostat setting, and finally compute the energy required for reheating. Evaluate your result for the referenced welling with A_H = 100 m², R_H = 0.7 m² K/W, and C_H = 10 MJ/K. How significant are the effects of reheating?