Question:

18 g of glucose $(C_6H_{12}O_6)$ is added to 178.2 g of water. The vapour pressure of water for this aqueous solution at 100$^\circ$C

Updated On: Jul 31, 2023
  • 76.00 Torr
  • 752.40 Torr
  • 759.00 Torr
  • 7.60 Torr
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The Correct Option is B

Solution and Explanation

$\frac{p^\circ - p_s}{p^\circ} = \frac{n_2}{n_1} = \frac{w_2/M_2}{w_1/M_1}$
$\therefore$ $\frac{760 - p_s}{p_s} = \frac{18/180}{178.2/18} $ or $\frac{760}{p_s} - 1 = \frac{18}{1782}$
or $\frac{760}{p_s} = \frac{18}{1782} + 1 = \frac{1820}{1782} $ or $p_s = 752.4 $ torr

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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.