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11 May, 13:19

A 215-g sample of copper metal at some temperature is added to 26.6 g of water. The initial water temperature is 22.22 oC, and the final temperature is 24.44 oC. If the specific heat of copper is 0.385 Jg-1oC-1, what was the initial temperature of the copper? Any additional constants needed can be found in your textbook.

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  1. 11 May, 14:36
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    The initial temperature of the copper metal was 27.38 degrees.

    Explanation:

    Data given:

    mass of the copper metal sample = 215 gram

    mass of water = 26.6 grams

    Initial temperature of water = 22.22 Degrees

    Final temperature of water = 24.44 degrees

    Specific heat capacity of water = 0.385 J/g°C

    initial temperature of copper material, Ti=?

    specific heat capacity of water = 4.186 joule/gram °C

    from the principle of:

    heat lost = heat gained

    heat gained by water is given by:

    q water = mcΔT

    Putting the values in the equation:

    qwater = 26.6 x 4.186 x (2.22)

    qwater = 247.19 J

    qcopper = 215 x 0.385 x (Ti-24.4)

    = 82.77Ti - 2019.71

    Now heat lost by metal = heat gained by water

    82.77Ti - 2019.71 = 247.19

    Ti = 27.38 degrees
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