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