A building has an exterior wall with 3.8 cm ൈ 14 cm wood framing (k = 0.15 Wmí1 Kí1 ) that makes 25 percent of its area. Adjacent to the framing on the inside is a layer of plywood board (k = 0.09...

A building has an exterior wall with 3.8 cm ൈ 14 cm wood framing (k = 0.15 Wmí1 Kí1 ) that makes 25 percent of its area. Adjacent to the framing on the inside is a layer of plywood board (k = 0.09 Wmí1 Kí1 ) of thickness of 8 mm. The space between the framing is filled with fiber glass insulation (k = 0.043 Wmí1 Kí1 ). Next to it is a 10 mm thick sheathing (k = 0.06 Wmí1 Kí1 ) which is followed by a 200 mm thick layer of expanded polystyrene (k = 0.035 Wmí1 Kí1 ), and a 100 mm thick layer of brick (k = 1.1 Wmí1 Kí1 ) on the outside. The air temperature inside is 22°C and the outside ambient temperature is í8°C. The wind speed is 12 km hí1 . The inside heat transfer coefficient is 10 Wmí2 Kí1 . Calculate (i) the total thermal resistance, (ii) the average heat transfer coefficient, and (iii) average heat transfer rate through the wall using: (a) the parallel path method, and (b) the isothermal plane method.