Boiling point of a 2% aqueous solution of a non-volatile solute A is equal to the boiling point of 8% aqueous solution of a non-volatile solute B. The relation between molecular weights of A and B is
- \(M_A = 4M_B\)
- \(M_B = 4M_A\)
- \(M_A = 8M_B\)
- \(M_B = 8M_A\)
The Correct Option is B
Solution and Explanation
\((ΔT_b)_A = (ΔT_b)_B\)
\(K_bM_A = K_bM_B\)
\(⇒ M_A = M_B\)
\(⇒ \frac{\frac{2}{M_A}}{100}×1000 = \frac{\frac{8}{M_B}}{100} × 1000\)
\(⇒ M_B = 4M_A\)
The correct answer is (B): \(M_B = 4M_A\)
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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.