Question:
A mixture contains 1 mol of volatile liquid A (p$^\circ$A= 100 mmHg) and 3 moles of volatile liquid B (p$^\circ$b = 80 mmHg). If solution is ideally behaved, total vapour pressure of distillate is (approx)
A mixture contains 1 mol of volatile liquid A (p$^\circ$A= 100 mmHg) and 3 moles of volatile liquid B (p$^\circ$b = 80 mmHg). If solution is ideally behaved, total vapour pressure of distillate is (approx)
Updated On: Jun 23, 2023
- 85 mm Hg
- 86 mm Hg
- 90 mm Hg
- 92 mm Hg
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The Correct Option is B
Solution and Explanation
$p_A = p^\circ _A \, x_A = 100 \times \frac{1}{4} $ = 25 mm Hg
$p_B = p^\circ _B \, x_B = 80 \times \frac{3}{4}$ = 60 mmHg
Mole fraction of A in vapour
$x'_A = \frac{p_A}{p_A + p_B} = \frac{25}{85}$
Mole fraction of B in vapour
$x'_B = 1 - \frac{25}{85}= \frac{60}{85}$
V.P. of distillate
= $x'_A p^\circ _A + x' _B p^\circ _B$
= $\frac{25}{85} \times 100 + \frac{60}{85} \times 80$
= $\frac{1}{85} ( 2500 + 4800)$
= $\frac{7300}{85} $ = 85.88 $\approx$ 86 mm Hg.
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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.