A scientist designs an experiment to determine the thermal conductivity of a solid round bar that is made from a new metal alloy.
One end of the bar is maintained at temperature of 13.8°C and the other end is maintained at a temperature of 50.2°C. The radius of the bar is 8.75 cm and the length of the bar is 84.4 cm.
If the heat transfer through the bar was measured to be 500 W, find the thermal conductivity of the new alloy in units of W/(m°C).
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