Question:

What will be the freezing point of $1\%$ solution of glucose in water, given that molal depression constant for water is $ 1.84\,K\, mol^{-1}$

Updated On: Jun 8, 2024
  • $272.898\, K$
  • $0.102\,^{\circ}C $
  • $273\, K$
  • $108\,^{\circ}C $
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The Correct Option is A

Solution and Explanation

Mass of solution $=100\, g$
Mass of glucose $=1\, g$
Mass of solvent $=100-1=99\, g$
$w =$ mass of solute glucose,
$W =$ mass of solvent $m =$ molar mass of solute
$\Delta T_{f} \times \frac{w}{m} \times \frac{1}{W / 1000}$
$=1.84 \times \frac{1}{180} \times \frac{1}{99 / 1000}=0.103$
Freezing point of the solution $=273-0.103$
$=272.897\, K$
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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.