(Solved): A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated i ...

A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated in the sketch. On a cold winter day, the convection heat transfer coefficients are $$h_o=60\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$$ and $$h_i=40\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$$. The total wall surface area is $$350{\mathrm{m}}^2$$. The plaster board thickness is $$L_p=10\mathrm{mm}$$, the glass fiber thickness is $$L_b=100\mathrm{mm}$$, and the plywood siding thickness is $$L_s=20\mathrm{mm}$$. The temperature inside is $$T_i=20^{?}\mathrm{C}$$ and the temperature outside is $$T_o=?15^{?}\mathrm{C}$$. Determine the total heat loss through the wall. Determine the thermal conductivity of the plaster board, in $$\mathrm{W}/\mathrm{m}?\mathrm{K}$$. $$k_p=$$ $$\mathrm{W}/\mathrm{m}?\mathrm{K}$$ Step 2 Determine the value of the inside convection resistance, in $${}^{?}\mathrm{C}/\mathrm{W}$$. $$R_i=1{}^{?}\mathrm{C}/\mathrm{W}$$ Step 3 Determine the value of the fiberglass blanket resistance, in $${}^{?}\mathrm{C}/\mathrm{W}$$. $$R_b=$$ $$\mathrm{C}/\mathrm{W}$$ Step 4 Determine the value of the total heat transfer resistance, in $${}^{?}\mathrm{C}/\mathrm{W}$$. Determine the value of the heat loss, in $$\mathrm{kW}$$. $$q=$$ $$<\mathrm{W}$$