12. At 20°C, an aluminum (αAI = 24.0 x 106 °C-¹) ring has an inner diameter of 5.0000 cm and a brass (Br = 19.0 x 10-6 °C-¹) rod has diameter of 5.0500 cm. a) If only the ring is heated, what temperature must it reach so that it will just slip over the rod? [437°C] b) What if? If both are heated together, what temperature must they both reach so that the ring just slips over the rod? Would this latter process work? Why? [2100°C, but this will not work because aluminum melts at 660°C]

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter18: Temperature
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12. At 20°C, an aluminum (αAI = 24.0 x 106 °C-¹) ring has an inner diameter of 5.0000 cm and a brass (αBr = 19.0 x 10-6
°C-¹) rod has diameter of 5.0500 cm.
a) If only the ring is heated, what temperature must it reach so that it will just slip over the rod? [437°C]
b) What if? If both are heated together, what temperature must they both reach so that the ring just slips over the rod?
Would this latter process work? Why? [2100°C, but this will not work because aluminum melts at 660°C]
Transcribed Image Text:12. At 20°C, an aluminum (αAI = 24.0 x 106 °C-¹) ring has an inner diameter of 5.0000 cm and a brass (αBr = 19.0 x 10-6 °C-¹) rod has diameter of 5.0500 cm. a) If only the ring is heated, what temperature must it reach so that it will just slip over the rod? [437°C] b) What if? If both are heated together, what temperature must they both reach so that the ring just slips over the rod? Would this latter process work? Why? [2100°C, but this will not work because aluminum melts at 660°C]
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