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 $Na_2SO_4$.

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:

  1. Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
  2. 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.
  3. Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.