To determine the thermal conductivity of a long, 25.0 mm diameter cylindrical rod, one half of the rod was inserted into a furnace while the other half projected into air at 27.0 degrees C. After steady state had been reached, the temperatures at two points 76.0 mm apart were measured and were found to be 126 degrees C. and 91.0 degrees C. The convective heat transfer coefficient of the surface of the rod exposed to the air was 22.7 W/m^2 K. What is the thermal conductivity of the rod?
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