A square room has only one external wall which faces North with a length of $7\mathrm{.}76$ m and a height of $3\mathrm{.}48$ m$.$ The wall has a total R value of $1\mathrm{.}33$ m$^2\backslash$deg C$/$W $($no surface resistances are included$).$ There is one window which is double glazed $($U value $=3\mathrm{.}68$ W$/$m$^2\backslash$deg C and has a SHGC $=0\mathrm{.}6)$ and takes up $34\%$ of the wall area. The internal heat gain due to people and equipment is $19$ W$/$m$^2.$ The daily average combined outside radiation and convection heat transfer coefficient $($h$\_$comb,o$)$ is $25$ W$/$m$^2\backslash$deg C$,$ the daily average combined inside radiation and convection heat transfer coefficient $($h$\_$comb,i$)$ is $8$ W$/$m$^2\backslash$deg C$,$ the daily average outside temperature is $5\backslash$deg C$,$ and the daily average solar irradiance is $88$ W$/$m$^2.$ For simplicity, assume there is no ventilation heat loss and no heat transfer to the room through the roof, floor, or internal walls.

Part $1)$

Calculate the room temperature under steady state conditions.

T $=\_\_\_\backslash$deg C