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19 February, 03:56

Complete combustion of a compound containing hydrogen and carbon produced 2.641 g of carbon dioxide and 1.442 grams of water as the only products. the molar mass of the hydrocarbon is 88.1 g/mol. what are the empirical and molecular formulas?

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  1. 19 February, 03:58
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    1) Answer is: the empirical formula of the hydrocarbon is C₃H₈.

    Chemical reaction: CₓHₐ + O₂ → xC + a/2H₂O.

    m (CO₂) = 2.641 g.; mass of carbon dioxide.

    n (CO₂) = m (CO₂) : M (CO₂).

    n (CO₂) = 2.641 g : 44.01 g/mol.

    n (CO₂) = n (C) = 0.06 mol; amount of carbon.

    m (H₂O) = 1.442 g.

    n (H₂O) = 1.442 g : 18 g/mol.

    n (H₂O) = 0.08 mol.

    n (H) = 2 · n (H₂O) = 0.16 mol; amount of hydrogen.

    n (C) : n (H) = 0.06 mol : 0.16 mol / 0.06 mol.

    n (C) : n (H) = 1 : 2. 67 / *3.

    n (C) : n (H) = 3 : 8.

    2) Answer is: the molecular formula of hydrocarbon is C₆H₁₆.

    M (C₃H₈) = 44.05 g/mol; molar mass of empirical formula.

    M (CₓHₐ) = 88.1 g/mol; molar mass of hydrocarbon.

    M (CₓHₐ) : M (C₃H₈) = 88.1 g/mol : 44.05 g/mol.

    M (CₓHₐ) : M (C₃H₈) = 2.

    The molar mass of hydrocarbon is two times higher than molar mass of empirical formula, so number of carbon atoms is six and number of hydrogen atoms sixteen.
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