Skip to main content
Ch.14 - Solutions
Chapter 14, Problem 70

Which solution has the highest vapor pressure? a. 20.0 g of glucose (C6H12O6) in 100.0 mL of water b. 20.0 g of sucrose (C12H22O11) in 100.0 mL of water c. 10.0 g of potassium acetate KC2H3O2 in 100.0 mL of water

Verified step by step guidance
1
Identify the molecular weights of glucose (C6H12O6), sucrose (C12H22O11), and potassium acetate (KC2H3O2).
Calculate the number of moles of each solute using the formula: number of moles = mass of solute (g) / molecular weight of solute (g/mol).
Understand that according to Raoult's Law, the vapor pressure of a solution is directly proportional to the mole fraction of the solvent. Therefore, the more solute particles present, the lower the vapor pressure of the solution.
Compare the number of moles calculated for each solution to determine which has the fewest moles of solute. This solution will have the highest mole fraction of water and thus the highest vapor pressure.
Conclude that the solution with the highest vapor pressure is the one with the fewest moles of solute, as it will have the least impact on lowering the vapor pressure of the water.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
5m
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid phase at a given temperature. It reflects the tendency of particles to escape from the liquid phase into the vapor phase. Solutions with lower concentrations of solute typically have higher vapor pressures because fewer solute particles disrupt the escape of solvent molecules.
Recommended video:
Guided course
02:40
Raoult's Law and Vapor Pressure

Colligative Properties

Colligative properties are properties of solutions that depend on the number of solute particles in a given amount of solvent, rather than the identity of the solute. These properties include vapor pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure. The more solute particles present, the greater the effect on the vapor pressure, leading to a lower vapor pressure for more concentrated solutions.
Recommended video:
Guided course
01:26
Colligative Properties

Molar Mass and Particle Count

The molar mass of a solute determines how many moles are present in a given mass of solute. For example, glucose (C6H12O6) has a lower molar mass than sucrose (C12H22O11), meaning that for the same mass, glucose will produce more moles of solute particles in solution. This difference in particle count affects the colligative properties, including vapor pressure, as more particles lead to a greater lowering of vapor pressure.
Recommended video:
Guided course
02:11
Molar Mass Concept