Question:

A solution of sucrose (molar mass = $342 \,g \,mol^{-1}$) has been prepared by dissolving $68.5 \,g$ of sucrose in $1000 \,g$ of water. The freezing point of the solution obtained will be ($K_f$ for water = $1.86 \, K \, kg \, mol^{-1}$)

Updated On: Apr 24, 2024
  • $-0.570^{\circ} C$
  • $-0.372^{\circ} C$
  • $-0.520^{\circ} C$
  • $-0.370^{\circ} C$
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The Correct Option is B

Solution and Explanation

$\Delta T_f = K_f \, m$
$ \Delta T_f = T_o - T_s$
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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:

  1. Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
  2. 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.
  3. Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.