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Q. If sodium sulphate is considered to be completely dissociated into cations and anions in aqueous solution, the change in freezing point of water $\left(\Delta T_{f}\right)$, when $0.01\, mol$ of sodium sulphate is dissolved in $1\, kg$ of water, is $(K_f = 1.86\, K\, kg\, mol^{-1})$

AIEEEAIEEE 2010Solutions

Solution:

Vant Hoff’s factor (i) for $Na_2SO_4 = 3$
$\therefore \Delta T_{f} = \left(i\right) k_{f} \,m$
$= 3\times1.80\times \frac{0.01}{1} = 0.0558 \,K$