Question:
When 20 g of naphthoic acid ($C_{11}H_8O_2$) is dissolved in 50 g
of benzene (K$_f = 1.72 K kg mol^{-1}$), a freezing point
depression of 2 K is observed. The van-t Hoff factor (i) is
When 20 g of naphthoic acid ($C_{11}H_8O_2$) is dissolved in 50 g
of benzene (K$_f = 1.72 K kg mol^{-1}$), a freezing point
depression of 2 K is observed. The van-t Hoff factor (i) is
Updated On: Jun 23, 2023
- 0.5
- 1
- 2
- 3
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The Correct Option is A
Solution and Explanation
Molality$=\bigg(\frac{20}{172}\bigg) \times \frac{1000}{50} =2.325 m$
$\Rightarrow \, \, \, \, \, \, \, \, \, -\Delta T_f =2 = iK_f.m$
$\Rightarrow \, \, \, \, \, \, \, \, i=\frac{2}{1.72 \times 2.325}=0.5$
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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.