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31 May, 21:05

A 100.0 g sample of aluminum released 1680 calories when cooled from 100.0c to 20.0 c what is the specific heat of the metal

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  1. 31 May, 21:31
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    The specific heat of aluminium is 0.8792 J/g °C or 0.21 Cal/g °C

    Explanation:

    Step 1 : Write formule of specific heat

    Q=mcΔT

    with Q = heat transfer (J)

    with m = mass of the substance

    with c = specific heat ⇒ depends on material and phase (J/g °C)

    with ΔT = Change in temperature

    For this case:

    Q = 1680 Calories = 7033.824 J (1 calorie = 4.1868 J)

    m = 100.0g

    c = has to be determined

    ΔT = 100 - 20 = 80°C

    Step 2: Calculating specific heat

    ⇒ via the formule Q=mcΔT

    7033.824 J = 100g * c * 80

    7033.824 = 8000 * c

    c = 7033.824 / 8000

    c = 0,879228 J/g °C

    or 0.21 Cal / g°C

    The specific heat of aluminium is 0.8792 J/g °C or 0.21 Cal/g °C
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