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A closed cubical box made of perfectly insulating material has walls of thickness 8 cm and the only way for heat to enter or leave thebox is through two solid, cylindrical, metallic plugs, each of cross-sectional area 12 cm^(2) and length 8 cm in opposite walls of the box. The outer surface of one plug is kept at 100^(@)C while the outer surface of the other plug is maintained at 4^(@)C. The thermal conductivity of the plug is 50 cal s^(-1) m^(-1) K^(-1). A source of energy generating 36 cal s^(-1) is enclosed inside the box. Find the equilibrium temperature of the inner surface of the box, assuming that it is the same at all points on the inner surface. |
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