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Q. How much ethyl alcohol must be added to $1$ litre of water so that the solution will freeze at $-14^{\circ} C$ ? $\left( K _{ f }\right.$ for water $\left.=1.86^{\circ} C / mol \right)$

Solutions

Solution:

$7.5\, mol$
$\Delta T_f=K_f m$
$\Delta T_f=K_f \frac{n_2 \times 1000}{w_1}$
$14=1.86 \times \frac{n_2 \times 1000}{1000}$
$n_2=7.5\, mol$