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Question:
The vapour pressure of pure liquid solvent is $0.80\, atm$. When a non-volatile substance $B$ is added to the solvent, its vapour pressure drops to $0.6\, atm$. What is the mole fraction of component $B$ in this solution?
The vapour pressure of pure liquid solvent is $0.80\, atm$. When a non-volatile substance $B$ is added to the solvent, its vapour pressure drops to $0.6\, atm$. What is the mole fraction of component $B$ in this solution?
Updated On: Jun 23, 2023
- 0.75
- 0.25
- 0.48
- 0.3
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The Correct Option is B
Solution and Explanation
According to Raoult's law, Relative lowering of vapour pressure $\propto$ mole fraction of solute or
$\frac{p^{o}-p_{s}}{p^{0B}}=\chi_{B}$
or $\frac{0.80-0.60}{0.80}=\chi_{B}$
$\therefore \chi_{B}=\frac{1}{4}=0.25$
$\frac{p^{o}-p_{s}}{p^{0B}}=\chi_{B}$
or $\frac{0.80-0.60}{0.80}=\chi_{B}$
$\therefore \chi_{B}=\frac{1}{4}=0.25$
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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.
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