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28 August, 13:44

A solution made by dissolving 9.81 g of a nonvolatile nonelectrolyte in 90.0 g of water boiled at 100.37degree C at 760 mm Hg. What is the approximate molecular weight of the substance? (For water, Kb = 0.51 degree C/m)

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  1. 28 August, 14:10
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    Answer is: molecular weight of the substance is 79.75 g/mol.

    Kb (H ₂O) = 0,51°C / m.

    T (nonvolatile nonelectrolyte) = 100.37 °C.

    T (H ₂O) = 100°C.

    ΔT = 100.37°C - 100°C.

    ΔT = 0.37°C.

    ΔT = b (nonvolatile nonelectrolyte) · Kb (H₂O).

    b (nonvolatile nonelectrolyte) = ΔT : Kb (H₂O).

    b (nonvolatile nonelectrolyte) = 0.37°C : 0.51°C/m.

    b (nonvolatile nonelectrolyte) = 1.372 mol/kg.

    b - molal concentration.

    b = n (nonvolatile nonelectrolyte) / m (H₂O).

    n = 1.372 mol/kg · 0.09 kg = 0.123 mol.

    M (nonvolatile nonelectrolyte) = m / n.

    M = 9.81 g : 0.123 mol = 79.75 g/mol.
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