Question:
Liquids $A$ and $B$ form an ideal solution in the entire composition range. At $350\, K$, the vapor pressures of pure $A$ and pure $B$ are $7 \times 10^3$ Pa and $12 \times 10^3\, Pa$, respectively. The composition of the vapor in equilibrium with a solution containing $40$ mole percent of $A$ at this temperature is :
Liquids $A$ and $B$ form an ideal solution in the entire composition range. At $350\, K$, the vapor pressures of pure $A$ and pure $B$ are $7 \times 10^3$ Pa and $12 \times 10^3\, Pa$, respectively. The composition of the vapor in equilibrium with a solution containing $40$ mole percent of $A$ at this temperature is :
Updated On: May 20, 2024
- $x_A = 0.37; x_B = 0.63$
- $x_A = 0.28; x_B = 0.72$
- $x_A = 0.76; x_B = 0.24$
- $x_A = 0.4; x_B = 0.6$
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The Correct Option is B
Solution and Explanation
$y_{A} = \frac{P_{A}}{P_{Total }} = \frac{P^{\circ}_{A}x_{A}}{P^{\circ}_{A}x_{A} \times p^{\circ}_{B}x_{B}}$
$ = \frac{7 \times10^{3} \times0.4}{7 \times10^{3} \times0.4 +12 \times10^{3} \times0.6} $
$ = \frac{2.8}{10} = 0.28 $
$ y_{B} = 0.72 $
$ = \frac{7 \times10^{3} \times0.4}{7 \times10^{3} \times0.4 +12 \times10^{3} \times0.6} $
$ = \frac{2.8}{10} = 0.28 $
$ y_{B} = 0.72 $
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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.