Raoult’s Law and Mole Fraction Quiz

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5 Questions

What is the vapor pressure of pure hexane at 60 °C?

573 torr

If the freezing point of the solvent is 0 °C, what is 𝚫𝚫𝑻𝑻𝑓𝑓 for a solution with a freezing point of -2 °C?

-2 °C

What is the molality of the sucrose solution formed by adding 10.0 g of sucrose to 100.0 mL of water?

1.00 m

What does 𝚫𝚫𝑻𝑻𝒃𝒃 represent in the context of the freezing point depression equation?

Difference between boiling points of the solution and pure solvent

If a solution has a freezing point depression of -5 °C, what would be the effect on the boiling point of the solution?

No effect on the boiling point

Study Notes

Solution Concentration Units

  • Molarity (M): mol/L
  • Molality (m): mol/kg
  • Mole Fraction (χ): no unit
  • Mole Percent (mol %): no unit
  • Parts by Mass Percent (%): no unit
  • Parts per Million by Mass (ppm): no unit
  • Parts per Billion by Mass (ppb): no unit
  • Parts by Volume (% or ppm or ppb): no unit

Henry's Law

  • Henry's Law Constant (𝒌𝒌𝑯𝑯): M/atm
  • Solubility of the gas (𝑺𝑺𝒈𝒈𝒈𝒈𝒈𝒈): M
  • Partial pressure of the gas (𝑷𝑷𝒈𝒈𝒈𝒈𝒈𝒈): atm

Colligative Properties

  • Colligative properties depend on the amount of solute particles, not the type of particle
  • Raoult's Law: 𝑷𝑷𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔 = 𝝌𝝌𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔
  • Terms:
    • 𝑷𝑷𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔: vapor pressure of the solvent over the solution
    • 𝑷𝑷𝒐𝒐𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔: vapor pressure of the pure solvent
    • 𝝌𝝌𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔: mole fraction of the solvent

Problem-Solving Strategies

  • Skill Builder: Nitrogenated water problem
    • Calculate concentration of N2 in water (in M) in a sealed container
    • Calculate molarity of N2 in the solution after opening and "going flat"
  • Vapor pressure of an aqueous solution with a nonvolatile solute problem
    • Calculate mole fraction of solute in the solution
  • Ideal solutions: solute-solvent, solute-solute, and solvent-solvent interactions have similar magnitude

Test your understanding of Raoult’s Law by calculating the mole fraction of solute in an aqueous solution with a nonvolatile solute based on vapor pressure data. This quiz is based on Eq 13.4 in a textbook.

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