A black body, at a temperature of $227\,^oC$ radiates heat at a rate of $7\,cal\,cm^{-2}\, s^{-1}$ . At a temperature of $727\,^oC$ , the rate of heat radiated in the same units will be
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$E \propto T^{4}$
$\mathrm{E}_{2}=\mathrm{E}_{1}\left(\frac{\mathrm{T}_{2}}{\mathrm{T}_{1}}\right)^{4} \Rightarrow \mathrm{E}_{2}=7\left(\frac{1000}{500}\right)^{4}=112 \mathrm{units}$
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