Question:

At $100^{\circ} C$ the vapour pressure of a solution of $6.5 \,g$ of a solute in $100 \,g$ water is $732\, mm$. If $K_b = 0.52$, the boiling point of this solution will be:

Updated On: Apr 24, 2024
  • $100^{\circ} C$
  • $102^{\circ} C$
  • $103^{\circ} C$
  • $101^{\circ} C$
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The Correct Option is D

Solution and Explanation

$\frac{P^{\circ}_A - P_A}{P_A} = \frac{m \times M_A}{1000}$
$\frac{760 - 7 32}{732} = \frac{m \times 18}{1000}$
$m = 2.125$
$\Delta T_b = K_b m$
$= 0.52 \times 2.125$
$ = 1.10$
$T_s = 100 + 1.10 $
$ = 101.1^{\circ} C $
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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.