Consider a $1\mathrm{.}2-$m$-$high and $2-$m$-$wide double$-$pane window consisting of two $3-$mm$-$thick layers of glass and separated by a $12-$mm$-$wide stagnant air space. The thermal conductivities of glass and stagnant air space are k $=0\mathrm{.}78$ W$/$m$\backslash$deg C$,$ and k $=0\mathrm{.}026$ W$/$m$\backslash$deg C$,$ and the convection heat transfer coefficients on the inner and outer surfaces of the window are $1=10$ W$/$m$2\backslash$deg C and $2=25$ W$/$m$2\backslash$deg C respectively. Disregard heat transfer by radiation.

Considering a day during which the room is maintained at $24\backslash$deg C respectively, while the

temperature of the outdoors is at $5\backslash$deg C$,$ calculate:

i$.$ The individual resistances, hence, R $($subscript t$)$

$.$

ii$.$ q $($The rate of heat transfer$)$ through the double$-$pane window, and

iii. The temperatures on the inner glass surfaces $($denote temperatures as T$3$ and T$4).$