Question:
What is the mole fraction of benzene in solution containing $30\%$ by mass in carbon tetrachloride?
What is the mole fraction of benzene in solution containing $30\%$ by mass in carbon tetrachloride?
Updated On: Jun 23, 2023
- 1.459
- 0.459
- 4.159
- None of these
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The Correct Option is B
Solution and Explanation
$\because$ Mole fraction of a component
$=\frac{\text { no. of moles of the component }}{\text { total no. of moles of all components }}$
Given, mass of benzene $=30 g$
So, moles of benzene $=\frac{30}{78}$
$\because$ Mol. mass of $C_{6} H_{6}=78$
$=0.385$ Mass of $C C l_{4}=70 g$
Moles of $C C l_{4}=\frac{70}{154}$
$\left(\because\right.$ Mol. mass of $\left.C C l_{4}=15.4\right)$
$=0.454$
$\therefore$ Mole fraction of benzene
$\chi_{C_{6} H_{6}}=\frac{0.385}{0.385+0.454}$ $=0.459$
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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.