Question:
$9$ gram anhydrous oxalic acid (mol. wt. = $90$) was dissolved in $9.9$ moles of water. If vapour pressure of pure water is $p_{1}^\circ 1$ the vapour pressure of solution is
$9$ gram anhydrous oxalic acid (mol. wt. = $90$) was dissolved in $9.9$ moles of water. If vapour pressure of pure water is $p_{1}^\circ 1$ the vapour pressure of solution is
Updated On: May 27, 2024
- $0.99 p_{1}^{\circ}$
- $0.1 p_{1}^{\circ}$
- $0.90 p_{1}^{\circ}$
- $1.1 p_{1}^{\circ}$
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The Correct Option is A
Solution and Explanation
The total vapour pressure of a solution in this case only depends on vapour pressure of water as anhydrous oxalic acid is a non-volatile compound
$\therefore$ Vapour pressure of solution = vapour pressure of water $\left(p_{w}\right)$
According to Raoult's law
$p_{w}=x_{w} p^{\circ}_{w}$
Number of moles of oxalic acid $=\frac{9}{90}=01$ moles
$\therefore x_{w}=\frac{9.9}{9.9+0.1}=0.99$
$\Rightarrow p_{s}=p_{w}=0.99 \times p^{\circ}_{1}$
$\therefore$ Vapour pressure of solution = vapour pressure of water $\left(p_{w}\right)$
According to Raoult's law
$p_{w}=x_{w} p^{\circ}_{w}$
Number of moles of oxalic acid $=\frac{9}{90}=01$ moles
$\therefore x_{w}=\frac{9.9}{9.9+0.1}=0.99$
$\Rightarrow p_{s}=p_{w}=0.99 \times p^{\circ}_{1}$
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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.