Question:
The ionic strength of a solution containing 0.1 mole/kg of KCl and 0.2 mole/kg of $CuSO_4$ is
The ionic strength of a solution containing 0.1 mole/kg of KCl and 0.2 mole/kg of $CuSO_4$ is
Updated On: Jun 23, 2023
- 0.3
- 0.6
- 0.9
- 0.2
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The Correct Option is C
Solution and Explanation
Ionic strength is half of the sum of all the terms obtained by multiplying the molality of each ion by the square of its valency
$I = \frac{1}{2} (m_1z_1^2 + m_2z^2_2 + m_2z_2^2+m_3z^2_3 + m_4z^2_4)$
Here for $K^+$ ion,
$m_1 = 0.1 \, m , z_1 = 1$
For $Cl^{-1}$ ion,
$m_2 = 0.1 \, m , z_2 = 1$
For $Cu^{2+} $ ion
$m_3 = 0.2 \, m, z_3 =2 $
For $SO^{2-}_4 $ ion
$m_4 = 0.2 \, m ,z_4 = 2$
$\therefore$ $I = \frac{1}{2} [0.1 \times 1^2 + 0.1 \times 1^2 + 0.2 \times 2^2 + 0.2 \times 2^2]$
= $\frac{1}{2} [ 0.1 + 0.1 + 0.8 + 0.8 ] $
= $\frac{18}{z}$ = 0.9
$I = \frac{1}{2} (m_1z_1^2 + m_2z^2_2 + m_2z_2^2+m_3z^2_3 + m_4z^2_4)$
Here for $K^+$ ion,
$m_1 = 0.1 \, m , z_1 = 1$
For $Cl^{-1}$ ion,
$m_2 = 0.1 \, m , z_2 = 1$
For $Cu^{2+} $ ion
$m_3 = 0.2 \, m, z_3 =2 $
For $SO^{2-}_4 $ ion
$m_4 = 0.2 \, m ,z_4 = 2$
$\therefore$ $I = \frac{1}{2} [0.1 \times 1^2 + 0.1 \times 1^2 + 0.2 \times 2^2 + 0.2 \times 2^2]$
= $\frac{1}{2} [ 0.1 + 0.1 + 0.8 + 0.8 ] $
= $\frac{18}{z}$ = 0.9
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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:
- Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
- 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.
- Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.