Question:

Vapour pressure of benzene at $30^{\circ} C$ is $121.8\, mm$. when $15\, g$ of a non-volatile solute is dissolved in $250\, g$ of benzene, its vapour pressure is decreased to $120.2\, mm$. The molecular weight of the solute is

Updated On: Jun 23, 2023
  • 35.67 g
  • 356.7 g
  • 432.8 g
  • 502.7 g
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The Correct Option is B

Solution and Explanation

As, $\frac{P^{0}-P}{P^{0}}=\frac{\frac{w}{m}}{\frac{w}{m}+\frac{W}{M}}$ $P^{0}$ = vapour pressure of pure component P = vapour pressure in solution w = mass of solute, $\quad$ m = mol. wt. of solute W = mass of solvent, M = mol. wt. of solvent $\Rightarrow \frac{121.8-120.2}{121.8}=\frac{\frac{15}{m}}{\frac{250}{78}}$ $ \Rightarrow m = 356.7 \,g$
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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.