Q.

The freezing point depression constant for water is 1.86oC molal-1 . If 5.00 g Na2SO4 is dissolved in 45.0 g of H2O the freezing point is changed by -3.82o C. Calculate the van't Hoff factor for Na2SO4.

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a

0.381

b

2.05

c

2.63

d

3.11

answer is C.

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Detailed Solution

Using, ΔTf=i×Kf×m    i=ΔTf×wAKf×nB×1000=3.82×451.86×5142×1000=2.63
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The freezing point depression constant for water is 1.86oC molal-1 . If 5.00 g Na2SO4 is dissolved in 45.0 g of H2O the freezing point is changed by -3.82o C. Calculate the van't Hoff factor for Na2SO4.