Question:
What is the mole fraction of the solute in $ 2.5 $ molal aqueous solution?
What is the mole fraction of the solute in $ 2.5 $ molal aqueous solution?
Updated On: Jun 23, 2023
- $ 0.043 $
- $ 0.053 $
- $ 0.063 $
- $ 0.073 $
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The Correct Option is A
Solution and Explanation
$2.5$ molal solution means $2.5$ moles of solute are present in $1000 \,mL$ solution (in aqueous solution) moles of water
$ = \frac{1000}{18}$
$ = 55.55\,mol$
$\therefore$ Mole fraction of solute
$= \frac{n_1}{n_1 +n_2}$
$ = \frac{2.5}{2.5 + 55.5}$
$ = \frac{2.5}{58.05}$
$ = 0.043$
$ = \frac{1000}{18}$
$ = 55.55\,mol$
$\therefore$ Mole fraction of solute
$= \frac{n_1}{n_1 +n_2}$
$ = \frac{2.5}{2.5 + 55.5}$
$ = \frac{2.5}{58.05}$
$ = 0.043$
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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.