$(1)$
表面のふく射熱流束$E$は,
\[\begin{align}E&=\varepsilon\sigma T^4\\
&=0.25\times5.67\times10^{-8}\times(800+273.15)^4\\
&=1.88\times 10^4 \,\rm{W/m^2}
\end{align}\]
$(2)$
表面のふく射熱流束$E$は,
\[\begin{align}E&=\varepsilon\sigma T^4\\
&=0.9\times 5.67\times 10^{-8}\times (800+273.15) ^4\\
&=6.77\times 10^4 \,\rm{W/m^2}
\end{align}\]