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determining an unknown solid using freezing point?

Suppose it is found that the actual molecular mass of your unknown solid is exactly two times larger than that which you determined experimentally. What could you conclude about the nature of your unknown solid and the assumptions you made in your calculations?

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  • 7 years ago
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    Depression of freezing point is expressed by

    ΔTf = molality * Kf * i

    Molality = moles of solute / kg solvent ,[ Mass of solute /Molar mass of solute]/kg solvent

    Kf = freezing point constant

    i = Van't Hoff factor

    Depression of freezing point is a product of molality, freezing point depression constant and Vant Hoff factor

    When Vant factor is halved molality has to double , in a given condition, with everything constant, this is only possible if molar mass is halved

    Relation between molar mass and Vant Hoff factor:

    ΔTf = moles of solute / kg solvent * Kf * i

    moles of solute = [ ΔTf * kg solvent] / kf * i

    Mass of solute / molar mass of solute = [ ΔTf * kg solvent] / kf * i

    Molar mass of solute = Mass of solute*kf* i/ [ ΔTf * kg solvent]

    In a given situation with all being constant , Molar mass is directly influenced by Vant Hoff factor

    Coming to the question - Where the assumptions would have gone wrong

    1. It must have been assumed that the solid is a non electrolyte, with Vant Hoff factor = 1

    2. Actually the unknown compound is an ionic compound with Vant Hoff factor = 2

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