A long rod, insulated to prevent heat loss along its sides, is in perfect therma

Question

A long rod, insulated to prevent heat loss along its sides, is in perfect thermal contact with boiling water (at atmospheric pressure) at one end and with an ice-water mixture at the other (Figure 1) . The rod consists of a 1.00m section of copper (with one end in the boiling water) joined end-to-end to a length L2 of steel (with one end in the ice water). Both sections of the rod have cross-sectional areas of 4.00 cm2. The temperature of the copper-steel junction is 65.0Cafter a steady state has been reached. Assume that the thermal conductivities of copper and steel are given by kcopper=385WmK and ksteel=50.2WmK.

How much heat per second H (=Qt) flows from the boiling water to the ice-water mixture?

Explanation / Answer

Q = kAdT/dx = 385*4*10^-4*35/1 = 5.39 W

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