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    Heat and Temperature: Thermal expansion

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    A brass ring of diameter 10.00 cm at 20.0 degrees C is heated and slipped over an aluminum rod of diameter 10.01 cm at 20 degrees C.
    Assuming the average coefficients of linear expansion are constant,

    a) to what temperature must the combination be cooled to separate the two metals?
    Is that temperature attainable?

    b) What if the aluminum rod were 10.02 cm in diameter?

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    Solution Preview

    ** Please see the attached file for the complete solution response **
    Heat
    ________________________________________
    A brass ring of diameter 10.00 cm at 20.0 degrees C is heated and slipped over an aluminum rod of diameter 10.01 cm at 20 degrees C.
    Assuming the average coefficients of linear expansion are constant,

    a) to what temperature must the combination be cooled to separate the two metals?
    Is that temperature attainable?

    b) What if the aluminum rod were 10.02 cm in diameter?

    Answer:

    The inner diameter of the ring and the out diameter of the rod are varying linearly.
    If there is a hole in a sheet the increase in the diameter of the cut will be same as that of diameter ...

    Solution Summary

    The brass ring is heated and slipped on an aluminum rod of larger diameter. The temperature of the combination is calculated for which the ring will taken out of the rod. Two different cases.

    $2.19

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