Question:
The vapour pressure of a solvent at 293 K is 100 mm Hg. Then the vapour pressure of a solution containing 1 mole of a strong electrolyte $(AB_2)$ in 99 moles of the solvent at 293 K is (assume complete dissociation of solute)
The vapour pressure of a solvent at 293 K is 100 mm Hg. Then the vapour pressure of a solution containing 1 mole of a strong electrolyte $(AB_2)$ in 99 moles of the solvent at 293 K is (assume complete dissociation of solute)
Updated On: May 17, 2024
- 103 mm Hg
- 99 mm Hg
- 97 mm Hg
- 101 mm Hg
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The Correct Option is C
Solution and Explanation
Let us consider the problem:
$\frac{\left( P _{ A }{ }^{0}- P ^{0}\right)}{ P _{A}{ }^{0}}= i \frac{\left( n _{ B }\right)}{\left( n _{ A }+ n _{ B }\right)}$
Since,
$\frac{\left(100-P_{A}\right)}{100}=3\left[\frac{1}{(99+1)}\right]$
Since,
$100- P _{ A }=3$
Hence the solution is $P _{ A }=97\, mm$ of $Hg$.
$\frac{\left( P _{ A }{ }^{0}- P ^{0}\right)}{ P _{A}{ }^{0}}= i \frac{\left( n _{ B }\right)}{\left( n _{ A }+ n _{ B }\right)}$
Since,
$\frac{\left(100-P_{A}\right)}{100}=3\left[\frac{1}{(99+1)}\right]$
Since,
$100- P _{ A }=3$
Hence the solution is $P _{ A }=97\, mm$ of $Hg$.
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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.