A 0.100 m MgSO₄ solution has a freezing point of −0.23°C. What is the van't Hoff factor for this solution? K_f = 1.86°C/m A)0.62 B)1.0 C)1.2 D)2.0 E)4.0

Question

Quizplus · Accepted Answer

The van't Hoff factor (i) can be calculated using the formula:
i = (ΔTf)experimental / (ΔTf)ideal

where (ΔTf)experimental is the experimental freezing point depression and (ΔTf)ideal is the freezing point depression calculated using the formula:
(ΔTf)ideal = Kf * molality

Given that the solution has a freezing point of −0.23°C and Kf = 1.86°C/m, we can calculate the molality of the solution as follows:

(ΔTf)ideal = Kf * molality
-0.23°C = 1.86°C/m * molality
molality = -0.23°C / 1.86°C/m = 0.124 mol/kg

Now we can use the molality to calculate the van't Hoff factor:

i = (ΔTf)experimental / (ΔTf)ideal
i = (-0.23°C) / (-1.86°C/m * 0.124 mol/kg)
i = 1.2

Therefore, the van't Hoff factor for this solution is 1.2, which is closest to choice C (1.2).

A 0100 M MgSO4 Solution Has a Freezing Point of −0

A 0100 M MgSO₄ Solution Has a Freezing Point of −0