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A cylindrical rod of length 50cm and cross-sectional area 1cm2 is fitted between a large ice chamber at 0°C and an evacuated chamber maintained at 27°C as shown in figure (28-E12). Only small portions of the rod are inside the chambers and the rest is thermally insulated from the surrounding. The cross-section going into the evacuated chamber is blackened so that it completely absorbs any radiation falling on it. The temperature of the blackened end is 17°C when steady state is reached. Stefan constant σ = 6 x.10-8W/m2 -K4. Find the thermal conductivity of the material of the rod.

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Q/t = eAe(T24 - T14)

=> Q/At = 1 × 6 × 10–8 [(300)4 – (290)4

= 6 × 10–8 (81 × 108 – 70.7 × 108) = 6 × 10.3

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