A solid graphite cube of edge is kept in a large evacuated enclosure whose walls are…

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A solid graphite cube of edge 10 cm10\,\text{cm} is kept in a large evacuated enclosure whose walls are maintained at 300 K300\,\text{K}. The cube itself is kept steady at 800 K800\,\text{K} and behaves as an ideal black surface. Take the Stefan–Boltzmann constant as σ=5.67×10−8 W m−2 K−4\sigma = 5.67\times10^{-8}\,\text{W\,m}^{-2}\,\text{K}^{-4}. (i) Calculate the total power radiated per second from all the faces of the cube. (ii) Determine the net heat lost by the cube in 2 min2\,\text{min} due to thermal radiation under the above conditions.

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