plase include all steps, unit converstion, equation used, or how equations used can be similar. $1-$ Plate glass with a thermal conductivity of $k=1\mathrm{.}35\frac{W}{m}*K$ is initially at $850$ K $.$ It is cooled by

blowing air past both surfaces, with a convective heat transfer coefficient of $5\frac{W}{m^2}*K.$ To

prevent the glass from cracking, the maximum temperature gradient within the glass must be

limited to $15\frac{K}{c}m$ during the cooling process.

a$.$ At the start of the cooling process $($assuming steady$-$state conditions$),$ calculate the lowest

temperature of the cooling air that can be used. $[10$ points$]$

b$.$ Find the lowest temperature of the cooling air if all specified conditions remain the same

as part a$,$ but there is also radiant energy exchange between the glass and the

surroundings at the air temperature. $($Hint: you will have to use some trial and error.$)[15$

points$]$