Question:
In a 0.2 molal aqueous solution of a weak acid HX the degree of ionization is 0.3. Taking $K_f$ for water as 1.85, the freezing point of the solution will be nearest to
In a 0.2 molal aqueous solution of a weak acid HX the degree of ionization is 0.3. Taking $K_f$ for water as 1.85, the freezing point of the solution will be nearest to
Updated On: Jun 23, 2023
- -0.480$^\circ$C
- -0.360$^\circ$C
- -0.260$^\circ$C
- #ERROR!
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The Correct Option is A
Solution and Explanation
$ { HX <=> H^+ + X^-}$
$i = \frac{1 - 0.3 + 0.3 + 0.3 }{1} = 1.3$
$\Delta T_f = i \, K_f \, m$
= $ 1.3 \times 1.85 \times 0.2$ = 0.48
$\therefore$ $T_f$ = (0 - 0.48)$^{\circ}$C = 0-48$^{\circ}$C.
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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.