A solution of water (Kf=1.86 ∘C/m) and glucose freezes at − 4.75 ∘C. What is the molal concentration of glucose in this solution? Assume that the freezing point of pure water is 0.00 ∘C.

Respuesta :

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Answer:

[tex]\large \boxed{\text{2.55 mol/kg}}[/tex]

Explanation:

1.Calculate the freezing point depression

ΔTf = 0.00 °C - (-4.75 °C) = = 0.00 °C + 4.75 °C = 4.75 °C

2. Calculate the molal concentration

The formula for the freezing point depression by a nonelectrolyte is

[tex]\Delta T_{f} = K_{f}b\\b = \dfrac{\Delta T_{f}}{ K_{f}} = \dfrac{4.75 \, ^{\circ}\text{C}}{\text{1.86 $\, ^{\circ}$C$\cdot$kg$\cdot$mol}^{-1}} = \textbf{2.55 mol/kg}\\\\\text{The molal concentration of sucrose is $\large \boxed{\textbf{2.55 mol/kg}}$}[/tex]