Two thermal reservoirs are connected by a solid copper bar. The bar is 2.00 m long, and the temperatures of the reservoirs are 80.0 °C and 20.0 °C.
a)Suppose the bar has a constant rectangular cross section, 10.0 cm on a side. What is the rate of heat flow through the bar?
b)Suppose the bar has a rectangular cross section that gradually widens from the colder reservoir to the warmer reservoir. The area A is determined by A = (0.0100 m2)[l.0 + x/(2.0 m)], where x is the distance along the bar from the colder reservoir to the warmer one. Find the heat flow and the rate of change of temperature with distance at the colder end, at the warmer end, and at the middle of the bar.
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