Question:

The solubility product of $AgCl$ is $1.5625 \times 10^{-10}$ at $25 \,^{\circ}C$. Its solubility in grams per litre will be

Updated On: Jun 23, 2023
  • $143.5$
  • $108$
  • $1.57\times10^{-8}$
  • $1.79\times10^{-3}$
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The Correct Option is D

Solution and Explanation

$ {AgCl<=>}$ $\underset{\text{s}}{ {Ag+}}+$ $\underset{\text{s}}{ {Cl-}}$ $s^{2}=1.5625\times10^{-10}$ $s=1.25\times10^{-5}\,mol\,L^{-1}$ Solubility in $g\,L^{-1}=$ Molar mass $\times s$ $=143.5\times1.25\times10^{-5}$ $=1.79\times10^{-3}\,g\,L^{-1}$
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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.