Rank The Following Solutions From Lowest To Highest Vapor Pressure.

Ranking Solutions by Vapor Pressure: A Deep Dive into Colligative Properties

Understanding vapor pressure and how it's affected by the presence of solutes is crucial in chemistry and many related fields. This article will explore the concept of vapor pressure, specifically focusing on how different solutions rank in terms of their vapor pressure, from lowest to highest. We'll delve into the underlying principles, provide practical examples, and address frequently asked questions. This comprehensive guide will equip you with a solid understanding of colligative properties and their applications.

Introduction: What is Vapor Pressure?

Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases (solid or liquid) at a given temperature in a closed system. In simpler terms, it's the pressure exerted by the gas phase of a substance above its liquid or solid phase. Imagine a sealed container with water inside. Some water molecules will escape the liquid phase and become water vapor, creating a pressure against the container walls. This pressure is the vapor pressure. A higher vapor pressure indicates a greater tendency for the substance to evaporate.

The vapor pressure of a pure liquid is determined by the intermolecular forces within the liquid. Strong intermolecular forces (like hydrogen bonding in water) result in lower vapor pressures because it takes more energy for molecules to overcome these attractions and escape into the gaseous phase. Conversely, weaker intermolecular forces lead to higher vapor pressures.

Colligative Properties and Raoult's Law

The vapor pressure of a solution differs from that of the pure solvent. This difference is attributed to colligative properties, which are properties that depend only on the concentration of solute particles, not their identity. A key concept governing vapor pressure lowering in solutions is Raoult's Law:

Raoult's Law: The partial vapor pressure of each component of an ideal solution is equal to the vapor pressure of the pure component multiplied by its mole fraction in the solution.

Mathematically, for a binary solution (solvent A and solute B):

P_A = X_AP°_A

Where:

• P_A is the partial vapor pressure of solvent A in the solution
• X_A is the mole fraction of solvent A in the solution
• P°_A is the vapor pressure of pure solvent A

Ranking Solutions: From Lowest to Highest Vapor Pressure

To rank solutions by vapor pressure, we need to consider the concentration of solute particles. The more solute particles present, the lower the vapor pressure of the solution will be. This is because solute particles occupy space at the surface of the liquid, reducing the number of solvent molecules that can escape into the gas phase. This phenomenon is known as vapor pressure lowering.

Let's consider a series of solutions, all with the same solvent (e.g., water), but varying solute concentrations and types:

Scenario: We have four solutions:

1. Pure water
2. 0.1 molal aqueous solution of sucrose (C₁₂H₂₂O₁₁)
3. 0.1 molal aqueous solution of sodium chloride (NaCl)
4. 0.2 molal aqueous solution of sodium chloride (NaCl)

Ranking (Lowest to Highest Vapor Pressure):

1. 0.2 molal aqueous solution of NaCl: This solution has the highest concentration of solute particles. NaCl dissociates completely into two ions (Na⁺ and Cl⁻) in water, resulting in a total of 0.4 molal of particles. This significantly reduces the number of water molecules at the surface, leading to the lowest vapor pressure.

2. 0.1 molal aqueous solution of NaCl: This solution has a lower concentration of solute particles (0.2 molal) compared to the 0.2 molal NaCl solution. It will have a higher vapor pressure than the 0.2 molal solution but still lower than the sucrose solution or pure water.

3. 0.1 molal aqueous solution of sucrose: Sucrose is a non-electrolyte, meaning it does not dissociate into ions in water. Therefore, the concentration of solute particles is 0.1 molal. This results in a smaller reduction in vapor pressure compared to the NaCl solutions.

4. Pure water: Pure water has the highest vapor pressure because there are no solute particles to interfere with the escape of water molecules into the gaseous phase.

Factors Affecting Vapor Pressure Ranking

Several factors beyond concentration influence the vapor pressure ranking of solutions:

• Nature of the solute: Electrolytes (like NaCl) dissociate into ions, increasing the number of solute particles and lowering the vapor pressure more significantly than non-electrolytes (like sucrose). The van't Hoff factor (i) accounts for this dissociation. For NaCl, i ≈ 2; for sucrose, i ≈ 1.

• Temperature: Vapor pressure increases with temperature. At higher temperatures, more molecules have sufficient kinetic energy to overcome intermolecular forces and escape into the gas phase. While the relative ranking of solutions might remain the same, the absolute vapor pressure values will increase for all solutions.

• Solvent properties: The inherent vapor pressure of the solvent plays a crucial role. A solvent with a higher intrinsic vapor pressure will result in solutions with higher vapor pressures overall, even with the same solute concentration.

Explanation of the Scientific Principles Involved

The ranking of solutions based on vapor pressure is fundamentally governed by the principles of colligative properties and Raoult's Law. The presence of solute particles reduces the escaping tendency of solvent molecules, thereby decreasing the vapor pressure. The extent of this decrease depends on the concentration of solute particles. Electrolytes, due to their dissociation, cause a greater decrease in vapor pressure than non-electrolytes of the same molality. These principles are deeply connected to other colligative properties like boiling point elevation, freezing point depression, and osmotic pressure. All these properties are directly related to the concentration of solute particles and the resulting disruption of the solvent's equilibrium.

Frequently Asked Questions (FAQ)

Q1: What is an ideal solution?

A1: An ideal solution is one that obeys Raoult's Law over the entire range of concentrations. In an ideal solution, the intermolecular forces between solute and solvent molecules are similar to the intermolecular forces between solute-solute and solvent-solvent molecules. Most real solutions deviate from ideality to some extent, particularly at higher concentrations.

Q2: How does vapor pressure relate to boiling point?

A2: A liquid boils when its vapor pressure equals the external pressure. Since adding a solute lowers the vapor pressure, it requires a higher temperature to reach the boiling point. This is known as boiling point elevation.

Q3: Can we use molarity instead of molality for vapor pressure calculations?

A3: Molality (moles of solute per kilogram of solvent) is preferred over molarity (moles of solute per liter of solution) for vapor pressure calculations because molality is independent of temperature, while molarity is not. Volume changes with temperature, affecting molarity, and thus potentially leading to inaccuracies in vapor pressure calculations.

Q4: What happens to vapor pressure in a solution with multiple solutes?

A4: In a solution with multiple solutes, the total effect on vapor pressure is the sum of the individual effects of each solute. Each solute contributes to the lowering of vapor pressure proportionally to its concentration of particles. The total vapor pressure will be lower than that of the pure solvent.

Q5: Are there any exceptions to Raoult's Law?

A5: Yes, many real solutions deviate from Raoult's Law, especially at high concentrations. Deviations can be positive (vapor pressure higher than predicted) or negative (vapor pressure lower than predicted), depending on the interactions between solute and solvent molecules. Strong solute-solvent interactions often lead to negative deviations, while strong solute-solute or solvent-solvent interactions lead to positive deviations.

Conclusion: Mastering Vapor Pressure and Colligative Properties

Understanding the ranking of solutions based on vapor pressure requires a grasp of colligative properties and Raoult's Law. The concentration of solute particles is the primary determinant, with electrolytes causing a more significant reduction in vapor pressure compared to non-electrolytes. This principle is fundamental to various phenomena in chemistry and other scientific disciplines. By considering factors such as solute type, concentration, temperature, and solvent properties, we can accurately predict and interpret vapor pressure behavior in solutions. This knowledge extends to other colligative properties, enabling a more comprehensive understanding of solution chemistry. Remember, practice makes perfect! Work through various examples and apply the concepts learned to solidify your understanding.