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16 February, 17:10

An 85-g sample of iron is at an initial temperature of 38 °C. If 2213 joules of heat are applied to the sample, what is the final temperature of the iron?

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  1. 16 February, 17:26
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    The final temperature of the iron is 95.86 °C

    Explanation:

    To solve the question we must first find out the specific heat of iron which is 0.450 J/g°C

    Then we list out the known variables

    Initialtemperature = 38 °C

    Applied heat = 2213 joules

    Mass of sample = 85 g

    Therefore, the required formula relating the final temperature of the iron to the known variables is

    ΔH = m·C·Δθ where ΔH = applied heat, m = mass, C = specific heat capacity

    plugging in the values we have

    2213 J = 85 g*0.450 J/g° C * (T₂ - 38 °C), where T₂ = The final temperature of the iron

    2213 J - 1453.5 J = 38.25 * T₂ or T₂ = 95.86 °C

    The final temperature of the iron is 95.86 °C
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