Consider a $1\mathrm{.}2-$m$-$high and $2-$m$-$wide double$-$pane win$-$ dow consisting of two $3-$mm$-$thick layers of glass $($k $=0\mathrm{.}78$ W$/$m $$C$)$ separated by a $12-$mm$-$wide stagnant air space $($k $=0\mathrm{.}026$ W$/$m $$C$).$ Determine the steady rate of heat transfer through this double$-$pane 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$10$ W$/$m$^2$C and h$=25$ W$/$m$^2$C$,$ and disregard any heat transfer by radiation