Consider a $0\mathrm{.}8$ m high and $1\mathrm{.}5$ m wide glass window with a thickness of $8$ mm and a thermal conductivity of $k=0\mathrm{.}78\frac{W}{m}C.$

Determine the steady rate of heat transfer through this glass window and the temperature of its inner surface for a day during which the room is maintained at $20C$ while the temperature of the outdoors is $-10C.$

Take the heat transfer coefficients on the inner and outer surfaces of the window to be $h_1=10\frac{W}{m^{2\text{@}}}C$ and $h_2=40\frac{W}{m^{2\text{@}}}C,$ which includes the effects of radiation.