Question:

$A \,5\%$ solution of cane sugar $(M.W. = 342)$ is isotonic with $1\%$ solution of substance $X$. The molecular weight of $X$ is

Updated On: Jun 23, 2023
  • $171.2$
  • $68.4$
  • $34.2$
  • $136.2$
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The Correct Option is B

Solution and Explanation

Being isotonic, molar concentration of cane sugar = molar concentration of substance $X$ $\frac{5}{342} \times \frac{1000}{100}$ $= \frac{1}{x} \times \frac{1000}{100}$ (let the molecular weight of $X = x$) $x = \frac{342}{5} = 68.4$
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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.