A 24.0 g copper ring at 0°C has an inner diameter of D = 2.90760 cm. A hollow aluminum sphere at 81.0°C has a diameter of d = 2.91274 cm. The sphere is placed on top of the ring (see the figure), and the two are allowed to come to thermal equilibrium, with no heat lost to the surroundings. The sphere just passes through the ring at the equilibrium temperature. What is the mass of the sphere? The linear expansion coefficient of aluminum is 23.0 x 106 /C", the linear expansion coefficient of copper is 17.0 x 10-6 /C, the specific heat of aluminum is 900 J/kg-K, and the specific heat of copper is 386 J/kg-K. Al Cu Number i Units

Physics for Scientists and Engineers
10th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter18: Temperature
Section: Chapter Questions
Problem 31AP: Two metal bars are made of invar and a third bar is made of aluminum. At 0C, each of the three bars...
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A 24.0 g copper ring at 0°C has an inner diameter of D = 2.90760 cm. A hollow aluminum sphere at 81.0°C has a diameter of d =
2.91274 cm. The sphere is placed on top of the ring (see the figure), and the two are allowed to come to thermal equilibrium, with no
heat lost to the surroundings. The sphere just passes through the ring at the equilibrium temperature. What is the mass of the sphere?
The linear expansion coefficient of aluminum is 23.0 x 106 /C°, the linear expansion coefficient of copper is 17.0 x 10-6 /C, the specific
heat of aluminum is 900 J/kg-K, and the specific heat of copper is 386 J/kg-K.
Al
Gu
Number
i
Units
Transcribed Image Text:A 24.0 g copper ring at 0°C has an inner diameter of D = 2.90760 cm. A hollow aluminum sphere at 81.0°C has a diameter of d = 2.91274 cm. The sphere is placed on top of the ring (see the figure), and the two are allowed to come to thermal equilibrium, with no heat lost to the surroundings. The sphere just passes through the ring at the equilibrium temperature. What is the mass of the sphere? The linear expansion coefficient of aluminum is 23.0 x 106 /C°, the linear expansion coefficient of copper is 17.0 x 10-6 /C, the specific heat of aluminum is 900 J/kg-K, and the specific heat of copper is 386 J/kg-K. Al Gu Number i Units
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