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Depression in Freezing Point

Calculate the...

Question

Calculate the amount of sodium chloride which must be added to one kilogram of water so that the freezing point of water is depressed by 3 K. (Given, $K_{f}$ =1.86 K kg $m o l^{- 1}$ , atomic mass of Na=23, Cl=35.5).

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Solution

$Δ T_{f} = k_{f} \times m o l a r i t y$
$\Rightarrow 3 = 1.86 \times \frac{\frac{w}{58.5}}{1}$
$\Rightarrow w = \frac{3 \times 58.5}{1.86}$
$= 94.35 g m$

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