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20 August, 23:00

What mass of salt (nacl) should you add to 1.80 l of water in an ice cream maker to make a solution that freezes at - 13.4 ∘c? assume complete dissociation of the nacl and density of 1.00 g/ml for water?

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  1. 20 August, 23:08
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    We will use this formula:

    Δ T = i*Kf*C

    when i = vant Hoff factor = 2

    Kf = Constant 1.86 °C/m

    and C = Concentration of molality

    ΔT = 13.4 °C

    So by substitution:

    C = ΔT / (i*Kf)

    = 13.4 / (2*1.86)

    = 3.6 m

    when molality = moles of solute / Kg of solvent

    note molar mass of NaCl = 58.5 g / mol

    ∴mass of NaCl = 1.8 Kg * (3.6m NaCl / 1Kg) * (58.5 g / mol)

    = 379 g
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