A rectangular electronics enclosure in vacuum has a total surface area of and an…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A rectangular electronics enclosure in vacuum has a total surface area of 0.20 m20.20\,\text{m}^{2} and an emissivity of 0.600.60. The internal components dissipate 300 W300\,\text{W} of power as heat. One 0.20 m×0.20 m0.20\,\text{m} \times 0.20\,\text{m} face is illuminated by sunshine providing 400 W m−2400\,\text{W}\,\text{m}^{-2}, and the surface absorbs all of this radiation. If the enclosure is in steady thermal equilibrium, what is its surface temperature? (Stefan–Boltzmann constant σ=5.67×10−8 W m−2 K−4\sigma = 5.67\times10^{-8}\,\text{W}\,\text{m}^{-2}\,\text{K}^{-4}) (a) 490 K490\,\text{K} (b) 460 K460\,\text{K} (c) 410 K410\,\text{K} (d) 690 K690\,\text{K}

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