Question

The freezing point depression constant for water is -1 . 86^o C m^-1. If 5.00 g Na₂SO₄ is dissolved in 45.0 g H₂O, the freezing points is changed by -3.82^oC. Calculate the van't Hoff factor for Na₂SO₄.

2.63

3.11

0.381

2.05

Solution

2.63

increment straight T subscript straight f space equals space straight i space straight x space straight K subscript straight f space. straight m space Or space straight i space equals space fraction numerator increment straight T subscript straight f space straight x space straight W subscript solvent over denominator straight K subscript straight f space straight x space straight n subscript solute space straight x space 1000 end fraction space equals space fraction numerator 3.82 space straight x space 45 over denominator 1.86 space straight x space open parentheses begin display style 5 over 142 end style close parentheses space straight x space 1000 end fraction space equals space 2.63

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