Consider a $1\mathrm{.}2-$m$-$high and $2-$m$-$wide glass window whose thickness is $6$ mm and thermal conductivity is $k=0\mathrm{.}78\frac{W}{m}*C.$ 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 $24C$ while the temperature of the outdoors is $-5C.$ Take the convection heat transfer coefficients on the inner and outer surfaces of the window to be $h_1=10\frac{W}{m^2}*C$ and $h_2=25\frac{W}{m^2}*C,$ and disregard any heat transfer by radiation. $[471W,4\mathrm{.}4C]$