In one molal solution that contains 0.5 mole of a solute, there is
- 500 mL of solvent
- 500 g of solvent
- 100 mL of solvent
- 1000 g of solvent
The Correct Option is B
Solution and Explanation
To determine the correct amount of solvent in a molal solution, we need to understand the concept of molality. Molality (m) is defined as the number of moles of solute per kilogram of solvent. Mathematically, it is expressed as:
\(m = \frac {moles\ of \ solute}{kilograms\ of \ solvent}\)
For a 1 molal solution, the molality is 1 mol/kg. Given the problem:
- Moles of solute: 0.5 mol
- Molality of solution: 1 mol/kg
Using the definition of molality, we set up the equation:
1 = 0.5 / (kilograms of solvent)
To solve for the kilograms of solvent:
kilograms of solvent = \(\frac {0.5}{1}\) = 0.5 kg
Since 1 kilogram equals 1000 grams, we convert the kilograms of solvent into grams:
0.5 kg = 500 g
Therefore, the solution contains 500 g of solvent, which matches the option: 500 g of solvent.
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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.