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8 November, 01:40

One piece of copper jewelry at 111°C has exactly twice the mass of another piece, which is at 28°C. Both pieces are placed inside a calorimeter whose heat capacity is negligible. What is the final temperature inside the calorimeter (c of copper = 0.387 J/g·K) ?

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  1. 8 November, 01:57
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    83.33 C

    Explanation:

    T1 = 111 C, m1 = 2m

    T2 = 28 C, m2 = m

    c = 0.387 J/gK

    Let the final temperature inside the calorimeter of T.

    Use the principle of calorimetery

    heat lost by hot body = heat gained by cold body

    m1 x c x (T1 - T) = m2 x c x (T - T2)

    2m x c X (111 - T) = m x c x (T - 28)

    2 (111 - T) = (T - 28)

    222 - 2T = T - 28

    3T = 250

    T = 83.33 C

    Thus, the final temperature inside calorimeter is 83.33 C.
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