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23 February, 20:27

If the specific heat of iron is 0.449 J/g·K, what is the enthalpy change of this process for 100 g of Fe (s) ? Is the process endothermic or exothermic? Explain.

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  1. 23 February, 22:40
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    Full Question:

    Although it is not really a chemical reaction, one could consider a cooling process to be analogous to the enthalpy change that occurs in a reaction. Consider the transformation

    Fe (s, T = 300 K) → Fe (s, T = 250 K)

    If the specific heat of iron is 0.449 J/g·K, what is the enthalpy change of this process for 100 g of Fe (s) ? Is the process endothermic or exothermic? Explain.

    Answer:

    ΔH = - 2245J

    Explanation:

    Specific heat capacity, Cp = 0.449 J/g·K

    ΔH=MCpΔT

    ΔT = 250K - 300K = - 50K

    ΔH = 100 * 0.449 * (-50)

    ΔH = - 2245J

    The iron will lose (give off) heat energy to cool down. Hence, it is an exothermic process. The negative sign of the enthalpy confirms this.
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