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19 January, 15:27

The combustion reaction of isopropyl alcohol is given below: C 3 H 7 O H (l) + 9 2 O 2 (g) → 3 C O 2 (g) + 4 H 2 O (g) The heat of combustion of isopropyl alcohol is - 2006 kJ/mol. Given the following information, calculate the heat of formation of isopropyl alcohol.

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  1. 19 January, 17:43
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    the heat of formation of isopropyl alcohol is - 317.82 kJ/mol

    Explanation:

    The heat of combustion of isopropyl alcohol is given as follows;

    C₃H₇OH (l) + (9/2) O₂ → 3CO₂ (g) + 4H₂O (g)

    The heat of combustion of CO₂ and H₂O are given as follows

    C (s) + O₂ (g) → CO₂ (g) = - 393.50 kJ

    H₂ (g) + 1/2·O₂ (g) → H₂O (l) = - 285.83 kJ

    Therefore we have

    3CO₂ (g) + 4H₂O (g) → C₃H₇OH (l) + (9/2) O₂ which we can write as

    3C (s) + 3O₂ (g) → 3CO₂ (g) = - 393.50 kJ * 3 =

    4H₂ (g) + 2·O₂ (g) → 4H₂O (l) = - 285.83 kJ * 4

    3CO₂ (g) + 4H₂O (g) → C₃H₇OH (l) + (9/2) O₂ = + 2006 kJ/mol

    -1180.5 - 1143.32 + 2006 = - 317.82 kJ/mol

    Therefore, the heat of formation of isopropyl alcohol = - 317.82 kJ/mol.
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