Question:
A $5 .25\%$ solution of a substance is isotonic with a $1.5\%$ solution of urea (molar mass = $60 \,g \,mol^{-1})$in the same solvent. If the densities of both the solution are assumed to be equal to $1.0 \,g \,cm^{-3}$ molar mass of the substance will be
A $5 .25\%$ solution of a substance is isotonic with a $1.5\%$ solution of urea (molar mass = $60 \,g \,mol^{-1})$in the same solvent. If the densities of both the solution are assumed to be equal to $1.0 \,g \,cm^{-3}$ molar mass of the substance will be
Updated On: Jun 23, 2023
- $210.0 \,g \,mol^{-1}$
- $90.0 \,g \,mol^{-1}$
- $115.0\, g \,mol^{-1}$
- $105.0\,g\,mol^{-1}$
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The Correct Option is A
Solution and Explanation
Isotonic solutions have the same molar concentration. Hence,
Molar cone. of the substance=Molar cone of urea
$\frac{52.5 g \, L^{-1}}{M} = \frac{15 \, g \, L^{-1}}{60 g\, mol^{-1}}$
(100 g solution = 100 mL as d = 1 g $mol^{-1}$)
M = $\frac{52.5 \times 60}{15} $ = 210 g mol$^{-1}$
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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.