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4 November, 04:17

An unknown mass of aluminum requires 6290 joules to raise the temperature from 23.9 C what is the mass of the aluminum?

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  1. 4 November, 04:19
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    The mass of the aluminium is 293.4 g

    Explanation:

    The question requires us to know the specific heat capacity of aluminium which is 897 J / (kg·°C)

    Hence we have the heat gain formula given by the following relation;

    ΔH = mass, m * specific heat capacity, c * change in temperature, Δt

    Hence ΔH = m*c*Δt

    Where:

    ΔH = The heat supplied to raise the temperature of the aluminium = 6290 J

    m = Required mass

    Δt = Temperature change = 23.9 °C

    c = Specific heat capacity of aluminium = 897 J / (kg·°C)

    Plugging in the values gives;

    6290 = m * 897 * 23.9

    ∴ m = 6290 / (897*23.9) = 0.2934 kg = 293.4 g

    The mass of the aluminium = 293.4 g.
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