Question:

An ideal solution was obtained by mixing methanoland ethanol. If the partial vapour pressure of methanol and ethanol are 2.619 k Pa and 4.556 k the composition of vapour(in terms of mole fraction) will be

Updated On: Jun 23, 2023
  • 0.635 MeOH, 0.365 EtOH
  • 0.365 MeOH, 0.635 EtOH
  • 0.574 MeOH, 0.326 EtOH
  • 0.173 MeOH, 0.827 EtOH
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The Correct Option is B

Solution and Explanation

Partial pressure of methanol $=2.619\, kP$ a Partial pressure of ethanol $=4.556 \,kPa$ Total pressure = Partial pressure of methanol $+$ Partial pressure of ethanol Total pressure $=2.619+4.556=7.175\, kP a$ $X_{\text {methanol: }}$ Mole fraction of methanol $X_{\text {ethanol: }}$ Mole fraction of ethanol The partial pressure of methanol $=X_{\text {methanol }} \times$ Total pressure $\therefore X _{\text {methanol }}=\frac{2.619}{7.175}$ $=0.365$ $\therefore$ Mole fraction of ethanol= $1-$ Mole fraction of methanol $=1-0.365$ $=0.635$
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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:

  1. Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
  2. 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.
  3. Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.