The mass of ice (in dag to the nearest integer) that will separate out on cooling a solution containing 50 g ethylene glycol in 200 g water to $- {9.3}^{o} C$ ( $K_{f}$ for water $= 1.86 K m o l^{- 1} k g)$ is________.

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Solution

Given, $Δ T = 9.3 w = 50 g, m_{g l y c o l} = 62$
$K_{f}$ for $H_{2} O = 1.86 K m o l^{- 1} k g$
$Δ T = \frac{1000 \times K_{f} \times w}{m \times W}$
$∴ 9.3 = \frac{1000 \times 1.86 \times 50}{62 \times W}$
$W_{w a t e r} = 161.29 g$
Thus, mass of ice separated $= 200 - 161.29$
$= 38.71 g \approx 4 d a g$

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