\(250\) \(g\) solution of \(D-glucose\) in water contains 10.8% of carbon by weight. The molality of the solution is nearest to (Given: Atomic Weights are, \(H, 1 u; C, 12 u; O, 16 u\))
- 1.03
- 2.06
- 3.09
- 5.40
The Correct Option is B
Solution and Explanation
Weight of D-glucose in water =\( 250\) \(g\)
∴ Weight of carbon in D-glucose
= \(\frac{250}{180}×72 = 100\) \(g\)
Percentage of carbon in the aqueous solution of glucose is
= \(10.8\%\)
∴ Weight of the solution is = \(925.93\)
∴ Molality of D-glucose is
=\(\frac{\frac{ 250}{180}}{(925.93 - 250)}×1000\)
= \(\frac{250}{180×675.93} ×1000\)
= \(2.06\)
Hence, the correct option is (B): \(2.06\)
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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.