$9155$ Consider a $1\mathrm{.}2-$m$-$high and $2-$m$-$wide doublepane window consisting of two $3-$mm$-$thick layers of glass $($k $=0\mathrm{.}78$ W$/$m$$K$)$ separated by a $2\mathrm{.}5-$cm$-$wide airspace. Determine the steady rate of heat transfer through this window and the temperature of its inner surface for a day during which the room is maintained at $20$C while the temperature of the outdoors is $0$C$.$ Take the heat transfer coefficients on the inner and outer surfaces of the window to be h$1=10$ W$/$m$2$K and h$2=25$ W$/$m$2$K$,$ and disregard any heat transfer by radiation. Evaluate air properties at a film temperature of $10$C and $1$ atm pressure. Is this a good assumption?