5% aqueous solution of kcl was found to freeze at – 0.24°c. Calculate the van't hoff factor and degree of dissociation of the solute at this concentration (kf for h2o = 1.86 k kg mol–1).
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AT=0-(-0.24°C) = 0.24°C 1000KfW₂
M₂
=
ATf W₁
1000x1.86x0.5
0.24×100
= 38.75gmol-¹
Theoretical molar mass of KCI =39+35.5
⇒ 74.5gmol-¹
i = Calculated mol mass Theoretical mol mass
74.5 38.75 1.92
KCI K+ + Cl¯
1 mole 0 0
1-a
α α
Total number of moles after dissociation =
1 + a 1+α
i =
i-1 = a = 1.92 - 1
⇒ 0.92
Percentage dissociation =92%
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