A heat conducting rod, 0.90 m long, is made of an aluminum section that is 0.10 m long, and an unknown material section that is 0.80 m long. Both sections have the same cross-sectional area. The aluminum end (rod 2) is maintained at a temperature of 50°C and the unknown material end (rod 1) is at 150°CTThe thermal conductivity of aluminum is 205 W/m-K and the junction temperature is 65°C. Steady state has been reached, and no heat is lost through the well-insulated sides of the rod. Find the thermal conductivity (k) of the unknown material. H T Rod 2 Rod 1

Physics for Scientists and Engineers with Modern Physics
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Chapter18: Temperature
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A heat conducting rod, 0.90 m long, is made of an aluminum section that is 0.10 m long, and an unknown material section that is
0.80 m long. Both sections have the same cross-sectional area. The aluminum end (rod 2) is maintained at a temperature of 50°C
and the unknown material end (rod 1) is at 150°CTThe thermal conductivity of aluminum is 205 W/m-K and the junction
temperature is 65°C. Steady state has been reached, and no heat is lost through the well-insulated sides of the rod. Find the thermal
conductivity (k) of the unknown material.
H
T
Rod 2
Rod 1
Transcribed Image Text:A heat conducting rod, 0.90 m long, is made of an aluminum section that is 0.10 m long, and an unknown material section that is 0.80 m long. Both sections have the same cross-sectional area. The aluminum end (rod 2) is maintained at a temperature of 50°C and the unknown material end (rod 1) is at 150°CTThe thermal conductivity of aluminum is 205 W/m-K and the junction temperature is 65°C. Steady state has been reached, and no heat is lost through the well-insulated sides of the rod. Find the thermal conductivity (k) of the unknown material. H T Rod 2 Rod 1
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