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20 April, 07:28

An unknown substance changes temperature from 22°C to 76°C. The substance is also known to have a specific heat of 3.6 kJ/kg °C and mass 5.6 kg. How much heat was transferred in this process? Let (+) indicate that heat is being added to the substance and (-) indicate that heat is being taken from the substance.

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  1. 20 April, 07:34
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    the heat transferred in the process was Q = + 1088.64 kJ, since Q is positive, heat is being added to the substance

    Explanation:

    the amount of heat exchanged will be

    Q = m * c * (T final - T inicial)

    where

    m = mass = 5.6 Kg

    c = specific heat = 3.6 kJ/kg °C

    T final = final temperature = 76°C

    T initial = initial temperature = 22°C

    therefore

    Q = m * c * (T final - T inicial) = 5.6 Kg * 3.6 kJ/kg °C * (76°C - 22°C) = 1088.64 kJ

    Q = + 1088.64 kJ

    Since Q is positive (+), heat is being added to the substance (that is why the temperature increases)
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