At 20 °C, an aluminum ring has an inner diameter of 2.99 cm and an outer diameter of 4.00 cm. The ring needs to fit over a stainless steel rod that has a diameter of 3.00 cm at 20 °C. Assume that the ring and rod are situated such that they both need to be heated by the same flame. To what temperature in °C must the rod and ring be heated so that the ring just barely slips over the rod? Use coefficients of linear expansion: αal = 2.3 x 10-5(°C)-¹ and ast = 1.7 × 10-5(°C)-¹. A. 441 °C B. 527 °C C. 563 °C D. 583 °C E. 627 °C

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At 20 °C, an aluminum ring has an inner diameter of 2.99 cm and an outer diameter of
4.00 cm. The ring needs to fit over a stainless steel rod that has a diameter of 3.00 cm
at 20 °C. Assume that the ring and rod are situated such that they both need to be
heated by the same flame. To what temperature in °C must the rod and ring be heated
so that the ring just barely slips over the rod? Use coefficients of linear expansion:
αal = 2.3 × 10-5(°C)-¹ and αst = 1.7 × 10-5(°C)−¹.
A. 441 °C
B. 527 °C
C. 563 °C
D. 583 °C
E. 627 °C
Transcribed Image Text:At 20 °C, an aluminum ring has an inner diameter of 2.99 cm and an outer diameter of 4.00 cm. The ring needs to fit over a stainless steel rod that has a diameter of 3.00 cm at 20 °C. Assume that the ring and rod are situated such that they both need to be heated by the same flame. To what temperature in °C must the rod and ring be heated so that the ring just barely slips over the rod? Use coefficients of linear expansion: αal = 2.3 × 10-5(°C)-¹ and αst = 1.7 × 10-5(°C)−¹. A. 441 °C B. 527 °C C. 563 °C D. 583 °C E. 627 °C
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