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19 November, 19:27

What volume of ethanol (density = 0.7893 g/cm3) should be added to 450. ml of water in order to have a solution that freezes at â15.0°c? (for water, kf = 1.86 °c/m.) ?

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  1. 19 November, 20:29
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    According to this formula:

    ΔTf = i Kf m

    i is van't Hoff factor = 1

    Kf = 1.86

    m the molality we need to assume it

    m = x moles of C2H5OH / Kg of mass

    ∴ 15 = 1 * 1.86 * (x moles of C2H5OH / 0.45 kg)

    ∴X = 3.629 moles

    mass = no. of moles x molar mass of C2H5OH

    = 3.629 X 46 = 167 g

    ∴the volume = mass / denisty

    = 167 / 0.7893 = 211.57≈ 212 mL
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