If 5g of Na2SO4 is dissolved in 45g of H2O, the freezing point is changed by 3.72∘C. Calculate the van't Hoff factor for Na2SO4.
Given: Freezing point depression constant for water is 1.86∘Ckgmol−1
A
1.85
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B
2.56
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C
3.11
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D
3.8
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Solution
The correct option is B 2.56 van't Hoff factor is a correction factor by which actual extent of association/ dissociation can be expressed.
To correct the colligative property we multiply colligative property with 'i'.
The corrected colligative property of depression in freezing point is given by, △Tf=i×Kf×m
where, △Tf is the depression in freezing point. Kf is molal depression constant.
m is molality of solution.
i is van't Hoff factor △Tf=i×Kf×wB×1000mB×wA
where, wb is mass of solute mB is molar mass of solute wA is mass of solvent