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13 August, 15:36

A 55.0-g aluminum block initially at 27.5 degree C absorbs 725 J of heat. What is the final temperature of the aluminum? Express your answer in degrees Celsius to one decimal place.

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  1. 13 August, 19:02
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    Final temperature of the aluminum = 41.8 °C

    Explanation:

    We have the equation for energy

    E = mcΔT

    Here m = 55 g = 0.055 kg

    ΔT = T - 27.5

    Specific heat capacity of aluminum = 921.096 J/kg. K

    E = 725 J

    Substituting

    E = mcΔT

    725 = 0.055 x 921.096 x (T - 27.5)

    T - 27.5 = 14.31

    T = 41.81 ° C = 41.8 °C

    Final temperature of the aluminum = 41.8 °C
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