A cylindrical rod of length 1 m is fitted between a large ice chamber at 0°C and an evacuated chamber maintained at 27°C as shown in figure. 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 × 10 –8 W/m 2 –K 4 . The thermal conductivity of the material of the rod is 1.2 P (W/m – °C). Find P (29 4 = 707281)
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(3)
Blackened portion will absorbs heat energy by radiation and delivered to 0ºC chamber by conduction process.
= 
= σ eA {(300) 4 – (290) 4 }
⇒ k = 3.6 W/m–ºC
e = 1 for black waned object. e = 1
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