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Heat of Formation

The freezing ...

Question

The freezing point of a solution containing $50 {cm}^{3}$ of ethylene glycol in $50 g$ of water is found to be -34°C. Assuming ideal behaviour, calculate the density of ethylene glycol in ${g/cm}^{3}$ $(K_{f} for water = 1.86 {K Kg mol}^{- 1})$ .

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Solution

Volume of Ethylene glycol $= 50 {cm}^{3}$

$K_{f} = 1.86 {K kg mol}^{- 1}$

Mass of glycol (w) = V × d = 50 × d g

Mass of water (W) = $50 g$

$Δ T_{f} = 34^{\circ} C$
$Δ T_{f} = \frac{K_{f} \times w \times 1000}{m \times W}$

$\Rightarrow 34 = \frac{1.86 \times 50 \times d \times 1000}{62 \times 50}$

$\Rightarrow d = 1.133 {g/cm}^{3}$

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