Q$2(10$ marics$)$: A house has a composite wall of wood, fiberglass insulation, and plaster board, as shown in the sketch. On a cold winter day, the convection heat transfer coefficients are $h_0=60\frac{W}{m^2},K$ and $h_i=30\frac{W}{m^2}.$ K$.$ The total wall surface area is $350m^2.$ Knowing that the thermal conductivities are $k_p=0\mathrm{.}17\frac{W}{m}.K,k_b=0\mathrm{.}038\frac{W}{m}.K$ and $k_s=0\mathrm{.}12\frac{W}{m}.K.$ Answer :

a$)$ The total thermal resistance between the inside Air and the outside Air is:

b$)$ The heat rate loss through the wall is:

c$)$ The inside wall temperature is: