Question:
If sodium sulphate is considered to be completely dissociated into cations and anions in aqueous solution, the change in freezing point of water $\left(\Delta T_{f}\right)$, when $0.01\, mol$ of sodium sulphate is dissolved in $1\, kg$ of water, is $(K_f = 1.86\, K\, kg\, mol^{-1})$
If sodium sulphate is considered to be completely dissociated into cations and anions in aqueous solution, the change in freezing point of water $\left(\Delta T_{f}\right)$, when $0.01\, mol$ of sodium sulphate is dissolved in $1\, kg$ of water, is $(K_f = 1.86\, K\, kg\, mol^{-1})$
Updated On: Jun 23, 2023
- $0.0372\, K$
- $0.0558\, K$
- $0.0744 \,K$
- $0.0186\, K$
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The Correct Option is B
Solution and Explanation
Vant Hoff?s factor (i) for $Na_2SO_4 = 3$
$\therefore \Delta T_{f} = \left(i\right) k_{f} \,m$
$= 3\times1.80\times \frac{0.01}{1} = 0.0558 \,K$
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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.