$(10$ points$)$ Calculate the heat transfer coefficient of the window ONLY at the outside. The window has a square shape with dimensions of $1$ m by $1$ m $.$ Assume the air is stagnant on both sides. The inside ambient temperature $(T_i)$ is $50C,$ while the outside ambient temperature $(T_0)$ is $-50C.$ Use the table shown below to evaluate the fluid's properties. Slight rounding of the temperature values is allowed without performing linear interpolation.

Thele A$.4$ Thermophysical Properties of Gases at Atmospheric Pressure ${?}^a$

$\backslash$table$[[T$

$(K),{}_{(k\frac{g}{m^3})},c_p^{(k\frac{J}{k}g*K)},*{10}^7$

$((N)*\frac{s}{m^2}),v*{10}^6$

$(\frac{m^2}{s}),k*{10}^3$

$(\frac{w}{m}*K),a*{10}^6$

$(\frac{m^2}{s}),$Pr$],[$Air$,28\mathrm{.}97k\frac{g}{k}$mol