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A 24.0 g copper ring at 0.000°C has an inner diameter of D = 2.54000 cm. An aluminum sphere at 103.0°C has a diameter of d = 2.54508 cm. The sphere is placed on top of the ring, 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, and the coefficients of linear expansion of aluminum and copper are ?Al = 23 cross 10-6/C° and ?Cu = 17 cross 10-6/C°, respectively. What is the mass of the sphere?

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