An aqueous solution contains 0.200 g of an unknown, non-ionic solute in 40.0 g of water. The solution freezes at – 0.060 °C. What is the molar mass of the solute? ( Kfp for H2O is −1.86 C/m.)
Molar mass = ____ g/mol
Answer :-
Molar mass of unknown = 155 g/mol
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Explanation :-
Given :-
Molar mass of unknown = M2 = ?
Mass of unknown W2 = 0.2 g = 0.0002 kg
Mass of water = W1 = 40 g = 0.04 kg
Kf = 1.86 °C/m = 1.86 °C.kg/mol
(since, m = mol/kg)
Freezing point of solution = T= - 0.06 °C
Freezing point of water = T° = 0 °C
Thus, Depression of freezing point (
) is given by

i.e.
Formula :-

therefore,

I.e.
i.e.
i.e.
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