Question:
A 5% solution of cane sugar (MW = 342) isisotonic with 1% solution of substance X. The molecular weight of X is
A 5% solution of cane sugar (MW = 342) isisotonic with 1% solution of substance X. The molecular weight of X is
Updated On: May 4, 2024
- 171.2
- 68.4
- 34.2
- 136.2
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The Correct Option is B
Solution and Explanation
Given $5 \%$ solution of Cane Sugar
$\Rightarrow 5 \,g$ of solute present in $100\, ml$ of solution
For isotonic solutions $\pi_{1}=\pi_{2}$
$\Rightarrow c _{1}= c _{2}$
$\frac{5}{342 \times 0.1}=\frac{1}{ M _{2} \times 0.1}$
$\Rightarrow M _{2}=\frac{342}{5}=68.4$
$\Rightarrow 5 \,g$ of solute present in $100\, ml$ of solution
For isotonic solutions $\pi_{1}=\pi_{2}$
$\Rightarrow c _{1}= c _{2}$
$\frac{5}{342 \times 0.1}=\frac{1}{ M _{2} \times 0.1}$
$\Rightarrow M _{2}=\frac{342}{5}=68.4$
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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:
- 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.