Question:

The boiling point of water in a $01$ molal silver nitrate solution (solution $A$ ) is $x ^{\circ} C$ To this solution $A$, an equal volume of $01$ molal aqueous barium chloride solution is added to make a new solution $B$ The difference in the boiling points of water in the two solutions $A$ and $B$ is $y \times 10^{-2}{ }^{\circ} C$ (Assume: Densities of the solutions $A$ and $B$ are the same as that of water and the soluble salts dissociate completely Use: Molal elevation constant (Ebullioscopic Constant), $K _{ b }=05 \,K \,kg\, mol ^{-1}$; Boiling point of pure water as $100^{\circ} C$)
The value of $x$ is ______$^{\circ}C$

Updated On: May 22, 2024
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Correct Answer: 100.1

Solution and Explanation

The value of $x$ is 100.10$^{\circ}C$

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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.