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22 October, 16:43

A sample of solid iron is heated with an electrical coil. If 85.7 Joules of energy are added to a 14.3 gram sample initially at 24.7 °C, what is the final temperature of the iron?

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  1. 22 October, 19:33
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    The final temperature of the iron is: - 38.0 °C

    Explanation:

    The initial temperature = 24.7 °C

    Let Final temperature = T °C

    Using,

    Q = m C * ΔT

    Where,

    Q is the heat absorbed by the iron = 85.7 J

    C gas is the specific heat of the iron = 0.45 J/g °C

    m is the mass of iron = 14.3 g

    ΔT is the change in temperature. (T - 24.7) °C

    Applying the values as:

    Q = m C * ΔT

    85.7 J = 14.3 g * 0.45 J/g °C * (T - 24.7) °C

    Solving for T, we get that:-

    T = 38.0 °C

    The final temperature of the iron is: - 38.0 °C
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