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Question

0.6 ml of glacial acetic acid with density 1.06 g/ml is dissolved in 1 kg water and the solution froze at 0.0205C. Calculate van't Hoff factor:

Kf for water is 1.86 K kg mol1.

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Solution

Mass of acetic acid =0.6ml×1.06gml1=0.636

No. of moles of acetic acid =063660=0.0106mol

Using the equation :-

ΔTf=1.86×0.0106=0.0197K

van't Hoff Factor =observedfrozingpointcalculatefrozingpoint

=0.02050.0197=1.04

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