The elevation in boiling point for 1 molal solution of non-volatile solute A is 3 K. The depression in freezing point for 2 molal solution of A in the same solvent is 6 K. The ratio of Kb and Kf i.e., \(\frac{K_b}{K_f}\) is 1 : X. The value of X is [nearest integer]
Correct Answer: 1
Solution and Explanation
Molality of a solution of non volatile solute (A) = 1
Elevation in boiling point is given by
ΔTb = Kb m
3 = Kb × 1 … (1)
Molality of (A) in the same solvent = 2
Depression in freezing point is given by
ΔTf = Kf m
6 = Kf × 2 … (2)
Dividing (1) by (2)
\(\frac{K_b}{K_f}\)=\(\frac{1}{X}\)=\(\frac{1}{1}\)
∴ X =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:
- 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.