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23 December, 11:51

If it takes 10.0 kJ of heat to raise the temperature of 100.0g if a substance by 50°C, what is the specific heat of the substance?

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  1. 23 December, 15:46
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    2.0 J/g°C

    Explanation:

    We are given;

    Quantity of heat as 10.0 kJ Mass of the substance as 100 g Temperature change is 50°C

    We are required to calculate the specific heat capacity of the substance;

    We need to know that the quantity of heat gained by a substance is given by;

    Quantity of heat = Mass * specific heat * change in temperature

    That is;

    Q = mcΔT

    Rearranging the formula;

    c = Q : mΔT

    Therefore;

    c = 10000 J : (100.0 g * 50°C)

    = 2.0 J/g°C

    Thus, the specific heat of the substance is 2.0 J/g°C
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