Question:
The freezing point depression constant for water is $-1.86^{\circ} Cm^{-1}$. If $5.00 \,g$ $Na_2SO_4$ is dissolved in $45.0\,g$ $H_2O$, the freezing point is changed by $- 3.82^{\circ} C$. Calculate the Van't Hoff factor for $Na_2SO_4$.
The freezing point depression constant for water is $-1.86^{\circ} Cm^{-1}$. If $5.00 \,g$ $Na_2SO_4$ is dissolved in $45.0\,g$ $H_2O$, the freezing point is changed by $- 3.82^{\circ} C$. Calculate the Van't Hoff factor for $Na_2SO_4$.
Updated On: Apr 12, 2024
- 0.381
- 2.05
- 2.63
- 3.11
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The Correct Option is C
Solution and Explanation
Using, $\Delta T _{ f }= i \times K _{ f } {\times m }$
$i =\frac{\Delta T _{ f } \times W _{ A }}{ K _{ f } \times n _{ B } \times 1000}$
$=\frac{3.82 \times 45}{1.86 \times\left(\frac{5}{142}\right) \times 1000} $
$=2.63$
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Concepts Used:
Solutions
A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.
For example, salt and sugar is a good illustration of a solution. A solution can be categorized into several components.
Types of Solutions:
The solutions can be classified into three types:
- Solid Solutions - In these solutions, the solvent is in a Solid-state.
- Liquid Solutions- In these solutions, the solvent is in a Liquid state.
- Gaseous Solutions - In these solutions, the solvent is in a Gaseous state.
On the basis of the amount of solute dissolved in a solvent, solutions are divided into the following types:
- Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
- Saturated Solution- A solution in which no solute can be dissolved after reaching a certain amount of temperature is known as an unsaturated saturated solution.
- Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.