Question:
An aqueous solution of an electrolyte AB has b.pt.of 101.08$^\circ$C. The solute is 100% ionised at b.pt.of water. The f.pt. of the same solution is $-1 -80 ^\circ C. AB (K_bI/K_f = 0.3)$
An aqueous solution of an electrolyte AB has b.pt.of 101.08$^\circ$C. The solute is 100% ionised at b.pt.of water. The f.pt. of the same solution is $-1 -80 ^\circ C. AB (K_bI/K_f = 0.3)$
Updated On: Jun 23, 2023
- is 100% ionised at f.pt. of solution
- is 50% ionised at f.pt. of solution
- behaves as a non-electrolyte at f.pt. of solution
- forms a dimer at f.pt. of solution
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The Correct Option is C
Solution and Explanation
$\Delta T_b = 1.08 \, K , \Delta T_f = 1.80 \, K$
$\frac{\Delta T_b}{\Delta T_f} = \frac{i. K_bm}{K_f . m}$
$\frac{\Delta T_b}{\Delta T_f} = \frac{i}{i'} \left(\frac{K_b}{K_f} \right)$
$i'$ = van't-Hoff factor at f.p.t of solution
Here $i$ (at b.pt.) = 2
$\frac{1.08}{1.08} = \frac{2}{i'} (0.3)$
$i ' = \frac{2 \times 0.3 \times 1.80}{1.08 }$ = 1
Th is, solute is unionised at $f.pt$. of solution $i.e.$, behaves as a non-electrolyte
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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.