Consider a $1\mathrm{.}2$ m high and $2$ m wide double pane window consisting of two $3$ mm$-$thick layers of glass $($k$=0\mathrm{.}78$ W$/$m$.$C$)$ separated by a $12$ mm wide space. The space is evacuated. 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$1=10$ W$/$m$2.$ C and h$2=25$ W$/$m$2.$C$.(203$ W$,15\mathrm{.}5$ C$).$