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(B) The depression in freezing point is given by $\Delta T_f = i \cdot K_f \cdot m$. $1.$ For $180 \ g$ of acetic acid ($CH_3COOH$,molar mass $= 60 \

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$180 \ g$ of acetic acid dissolved in benzene

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(B) The depression in freezing point is given by $\Delta T_f = i \cdot K_f \cdot m$. $1.$ For $180 \ g$ of acetic acid ($CH_3COOH$,molar mass $= 60 \ g/mol$) in benzene,$m = 3 \ mol/kg$ (assuming $1 \ kg$ solvent). Acetic acid dimerizes in benzene,so $i \approx 0.5$. $\Delta T_f = 0.5 	imes 5.12 	imes 3 = 7.68 \ K$. $2.$ For $180 \ g$ of benzoic acid ($C_6H_5COOH$,molar mass $= 122 \ g/mol$) in benzene,$m = 180/122 \approx 1.47 \ mol/kg$. $i \approx 0.5$. $\Delta T_f = 0.5 	imes 5.12 	imes 1.47 \approx 3.76 \ K$. $3.$ For $180 \ g$ of acetic acid in water,$m = 3 \ mol/kg$. Acetic acid is a weak electrolyte,$i \approx 1 + \alpha \approx 1$. $\Delta T_f = 1 	imes 1.86 	imes 3 = 5.58 \ K$. $4.$ For $180 \ g$ of glucose ($C_6H_{12}O_6$,molar mass $= 180 \ g/mol$) in water,$m = 1 \ mol/kg$. $i = 1$. $\Delta T_f = 1 	imes 1.86 	imes 1 = 1.86 \ K$. Comparing all,acetic acid in benzene shows the highest $\Delta T_f$.

The solution from the following with the highest depression in freezing point (lowest freezing point) is:

Similar Questions

$A$ solution of urea in water has a boiling point of $100.18^{\circ} C$. What is the freezing point of the same solution,if $K_{f}$ and $K_{b}$ of water are $1.86$ and $0.52 \ K \ kg \ mol^{-1}$,respectively (in $^{\circ} C$)? (Boiling point of water $= 100^{\circ} C$ )

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