(d) Loss of heat $\mathrm{\Delta}Q = A\varepsilon\sigma\left( T^{4} - T_{0}^{4} \right)t$
$\Rightarrow$ Rate of loss of heat $\frac{\mathrm{\Delta}Q}{t} = A\varepsilon\sigma(T^{4} - T_{0}^{4})$
$= 10 \times 10^{- 4} \times 1 \times 5.67 \times 10^{- 8}\{(273 + 127)^{4} - (273 + 27)^{4}\}$
$= 0.99\ W$