Consider two plates at temperatures of (600 mathrm{~K}) and (500 mathrm{~K}) with emissivities of 0.8 and 0.4

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Consider two plates at temperatures of \(600 \mathrm{~K}\) and \(500 \mathrm{~K}\) with emissivities of 0.8 and 0.4 , respectively. The plates are separated by a gray gas that has an absorption coefficient of \(0.2 \mathrm{~cm}^{-1}\) and the plates are \(10 \mathrm{~cm}\) apart. Calculate the heat flux transferred from the hot plate to the cold plate.

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