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Q. What is the correct sequence of the increasing order of freezing points at one atmosphere of the following $1.0\, M$ aqueous solution?
$1.$ Urea, $2.$ Sodium chloride, $3.$ Sodium sulphate, $4.$ Sodium phosphate.
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NTA AbhyasNTA Abhyas 2022

Solution:

vant Hoff factors for urea, $NaCl, Na_{2}SO_{4}$ and $Na_{3}PO_{4}$ are $1, 2, 3$ and $4$ respectively.
As $\Delta T_{f} \propto im$ , so $\Delta T_{f}$ for urea, $NaCl$, $Na_{2}SO_{4}$ and $Na_{3}PO_{4}$ are proportional to $1, 2, 3$ and $4$ respectively. Hence, freezing point order is $Na_{3}PO_{4} < Na_{2}SO_{4} < NaCl < $ Urea