Two solutions $A$ and $B$ are prepared by dissolving $1 g$ of non-volatile solutes $X$ and $Y$ respectively in $1 \,kg$ of water The ratio of depression in freezing points for $A$ and $B$ is found to be $1: 4$ The ratio of molar masses of $X$ and $Y$ is :
- $1: 4$
- $1: 0.25$
- $1: 0.20$
- $1: 5$
The Correct Option is B
Solution and Explanation
\(\frac{Δ_Tf_x}{Δ_Tf_y}=\frac{k_f⋅mx}{k_f⋅my}=\frac{\frac{1/M_x}{1}}{\frac{1/M_y}{1}}\)
\(⇒\frac{1}{4}=\frac{M_y}{M_x} \)
\(⇒M_x:M_y=1:0.25\)
\(\text{Hence, the correct option (B):} 1:0.25\)
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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.