Question

the depression in freezing point of water observed for the same amount of Acetic Acid trichloroacetic acid and trifluoroacetic acid increases in the order given above explain briefly

Answer 1

The depression in freezing points are in the order :

Acetic acid < trichloroacetic acid < trifluoroacetic acid

Fluorine,being most electronegative,has the highest electron with drawing tendency.

Consequently trifluroacetic acid is the strongest while acetic acid is the weaker acid.Hence trifluoroacetic acid ionizes to largest extent.

Thus depression in freezing point is maximum for the fluroacetic acid.

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Answer 2

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[hint] :
Depression in freezing point to a solvent due to The dissolution of a solute in dependent on the degree of dissociation.

The depression in freezing point of a solute in water depends upon the number of particles are ions in its aqueous solution or its degree of dissociation $( \alpha )$]
These acids are arranged in the order of their increasing acidic strength

CH3COOH < CCL3COOH < CF3COOH

Fluorine is more electronegative than chlorine so trifluoroacetic acid is stronger than trichloroacetic acid which in turn stronger than Acetic Acid the order of depression in freezing point is also the same .