A cоpper rоd with а length оf 1.20 m аnd а circular cross-section with a radius of 0.014 m is used to conduct heat from a hot reservoir at a temperature of 2000C into an otherwise completely thermally insulated chamber that contains 5.80 kg ice at 00C. [The thermal conductivity of copper is 395 W/(m K). The latent heat of fusion of ice is 33.5*104 J/kg] a) Calculate the heat energy transferred in one minute (60 seconds) from the hot end at 2000C to the cold end with ice. (5 pts) b) What fraction of the ice will have melted after 100 minutes? (you may express your answer as a percentage.) (5 pts) c) If the cross-section radius of the copper rod is halved, what would its new length have to be if we are to maintain the same rate of heat transfer through it? (2 pts)
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