Question:

If 5.85 g of NaCl are dissolved in 90 g of water, the mole fraction of NaCl is

Updated On: Jun 23, 2023
  • 0.1
  • 0.01
  • 0.2
  • 0.0196
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The Correct Option is D

Solution and Explanation

Given:- Mass of $NaCl =5.85 g$ Mass of $H _{2} O =90 g$ Number of moles of $NaCl =\frac{5.85}{58.5}=0.1$ Number of moles of $H _{2} O =\frac{90}{18}=5$ Mole fraction of solute $=\frac{ n _{\text {solute }}}{ n _{\text {solute }}+ n _{\text {solvent }}}$ Mole fraction $=\frac{0.1}{5+0.1}$ $\Rightarrow X _{ B }=0.0196$
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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.