Question:
On mixing, heptane and octane form an ideal solution. At $373\, K$, the vapour pressures of the two liquid components (heptane and octane) are $105 \,kPa$ and $45\, kPa$ respectively. Vapour pressure of the solution obtained by mixing $25.0\,g$ of heptane and $35\, g$ of octane will be (molar mass of heptane $= 100\, g \,mol^{-1}$ and of octane $= 114\, g \,mol^{-1}$).
On mixing, heptane and octane form an ideal solution. At $373\, K$, the vapour pressures of the two liquid components (heptane and octane) are $105 \,kPa$ and $45\, kPa$ respectively. Vapour pressure of the solution obtained by mixing $25.0\,g$ of heptane and $35\, g$ of octane will be (molar mass of heptane $= 100\, g \,mol^{-1}$ and of octane $= 114\, g \,mol^{-1}$).
Updated On: Jun 23, 2023
- $72.0\, kPa$
- $36.1\, kPa$
- $96.2\, kPa$
- $144.5\, kPa$
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The Correct Option is A
Solution and Explanation
Mole fraction of Heptane $= \frac{25 /100}{\frac{25}{100}+\frac{35}{114}} = \frac{0.25}{0.557} = 0.45$
$X_{Hep \,tane} = 0.45 .$
$\therefore$ Mole fraction of octane $= 0.55 = X_{octane}$
Total pressure $= \sum X_{i}P_{i}^{0}$
$= \left(105 \times 0.45\right) + \left(45 \times 0.55\right) kP_{a}$
$= 72.0 \,KPa$
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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.