A uniform cylindrical copper rod and a uniform aluminum rod of different diameters DCu and DAI, respectively, are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held at 100°C and that of the free end of the aluminum rod is held at 0 °C. Sufficient time has been allowed to achieve steady-state. If DẠI =2.2 DCu and the copper rod is 0.13 m long, what must be the length of the aluminum rod so that the temperature of the copper-aluminum junction is 50 °C. (KCu-397 W/m.C; KAI=238 W/m.C)

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter11: Energy In Thermal Processes
Section: Chapter Questions
Problem 40P: The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about...
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A uniform cylindrical copper rod and a uniform aluminum rod of different diameters DCu and DAI, respectively, are joined end to end in good thermal contact. The
temperature of the free end of the copper rod is held at 100°C and that of the free end of the aluminum rod is held at 0 °C. Sufficient time has been allowed to achieve
steady-state. If DAI=2.2 DCu and the copper rod is 0.13 m long, what must be the length of the aluminum rod so that the temperature of the copper-aluminum junction
is 50 °C. (KCu=397 W/m.C; KAI=238 W/m.C)
Selected Answer: a 0.37 m
Answers:
0.17 m
0.25 m
O 0.078 m
0.34 m
0.37 m
Transcribed Image Text:A uniform cylindrical copper rod and a uniform aluminum rod of different diameters DCu and DAI, respectively, are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held at 100°C and that of the free end of the aluminum rod is held at 0 °C. Sufficient time has been allowed to achieve steady-state. If DAI=2.2 DCu and the copper rod is 0.13 m long, what must be the length of the aluminum rod so that the temperature of the copper-aluminum junction is 50 °C. (KCu=397 W/m.C; KAI=238 W/m.C) Selected Answer: a 0.37 m Answers: 0.17 m 0.25 m O 0.078 m 0.34 m 0.37 m
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