The freezing point depression constant $(K_{f})$ of ethanol is $1.99 {K kg mol}^{- 1}$ . The freezing point depression for the solution of molality $0.075 m$ containing a non-electrolyte solute in ethanol is:

0.75 K

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0.15 K

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1.25 K

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1.75 K

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Solution

The correct option is B $0.15 K$
$Δ T_{f} = K_{f} \times m$

$Where Δ T_{f} = depression in freezing point$

$K_{f} = Cryoscopic constant$

$m = molality$

$∴ Δ T_{f} = 1.99 \times 0.075$

$Δ T_{f} = 0.15 K$

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