Raoult's Law - How To Calculate The Vapor Pressure of a Solution

The Organic Chemistry Tutor
23 Jan 202114:02
EducationalLearning
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TLDRThis video explains how Raoult's Law is used to calculate the vapor pressure of a solution, demonstrating with examples involving glucose and water, and calcium chloride. It covers the calculation of mole fractions and vapor pressures, highlighting the effect of non-volatile solutes on the vapor pressure of the solvent.

Takeaways
  • 🌑️ Raoult's Law is used to calculate the vapor pressure of a solution, which is influenced by the presence of a non-volatile solute.
  • πŸ’§ The vapor pressure of a solution is the product of the mole fraction of the solvent and the vapor pressure of the pure solvent.
  • 🍬 Adding a non-volatile solute to a solvent, like salt to water, decreases the vapor pressure of the resulting solution.
  • πŸ§ͺ To calculate the vapor pressure of a solution, first determine the moles of the solvent and the solute.
  • πŸ” The mole fraction of the solvent is calculated by dividing the moles of the solvent by the total moles in the solution.
  • πŸ‡ In the example with glucose and water, the mole fraction of water is used to find the vapor pressure of the solution, which is slightly less than that of pure water.
  • πŸ§‚ When dealing with ionic compounds, calculate the total moles of ions in the solution, not just the moles of the compound.
  • 🌑️ The vapor pressure of the solution is dependent on the total number of solute particles, not their identity.
  • πŸ§ͺ For the example with calcium chloride, the vapor pressure of the solution is calculated using the mole fraction of water and the vapor pressure of pure water.
  • 🍬 To find the mass of glucose needed to achieve a specific vapor pressure, use Raoult's Law and solve for the unknown mole fraction and moles of glucose.
Q & A
  • What is Raoult's Law?

    -Raoult's Law states that the vapor pressure of a solution is equal to the product of the mole fraction of the solvent and the vapor pressure of the pure solvent. It implies that adding a non-volatile solute to a solvent will decrease the vapor pressure of the solution.

  • How does the vapor pressure of a solution compare to that of the pure solvent according to Raoult's Law?

    -According to Raoult's Law, the vapor pressure of a solution will be less than the vapor pressure of the pure solvent when a non-volatile solute is added.

  • What is the vapor pressure of pure water at 25 degrees Celsius mentioned in the script?

    -The vapor pressure of pure water at 25 degrees Celsius is 23.8 torr.

  • How is the mole fraction of the solvent calculated in Raoult's Law?

    -The mole fraction of the solvent is calculated by dividing the moles of the solvent by the total moles in the solution, which includes both the moles of the solvent and the moles of the solute.

  • What is the molar mass of water and how many moles of water are in 500 milliliters?

    -The molar mass of water is approximately 18.016 grams per mole. In 500 milliliters of water, there are 27.753 moles (calculated by dividing 500 grams by 18.016 grams per mole).

  • What is the chemical formula of glucose and what is its molar mass?

    -The chemical formula of glucose is C6H12O6. Its molar mass is 180.156 grams per mole.

  • How many moles of glucose are in 30 grams?

    -There are 0.1665 moles of glucose in 30 grams (calculated by dividing 30 grams by 180.156 grams per mole).

  • What is the mole fraction of water in a solution with glucose and water, and how is it calculated?

    -The mole fraction of water is 0.994. It is calculated by dividing the moles of water (27.753) by the total moles in the solution (27.753 + 0.1665).

  • What is the vapor pressure of a solution with glucose dissolved in water, and how is it calculated?

    -The vapor pressure of the solution is 23.66 torr. It is calculated by multiplying the mole fraction of water (0.994) by the vapor pressure of pure water (23.8 torr).

  • How does the presence of an ionic solute like calcium chloride affect the vapor pressure of a solution?

    -The vapor pressure of a solution with an ionic solute is dependent on the total number of solute particles (ions) in the solution, not just the identity of the solute particles. This affects the calculation of the mole fraction and thus the vapor pressure.

  • How many grams of glucose need to be added to 250 grams of water at 40 degrees Celsius to achieve a vapor pressure of 54 torr?

    -60.7 grams of glucose need to be added to 250 grams of water at 40 degrees Celsius to achieve a vapor pressure of 54 torr.

Outlines
00:00
🌑️ Raoult's Law and Vapor Pressure Calculation

This paragraph introduces Raoult's law, which is used to calculate the vapor pressure of a solution. The equation states that the vapor pressure of a solution is the product of the mole fraction of the solvent and the vapor pressure of the solvent. The law implies that adding a non-volatile solute to a solvent will decrease the vapor pressure of the solution. An example is provided where the vapor pressure of a glucose-water solution is calculated, demonstrating how the vapor pressure is less than that of pure water. The process involves calculating the moles of water and glucose, determining the mole fraction of water, and then using Raoult's law to find the vapor pressure of the solution.

05:00
πŸ§ͺ Vapor Pressure with Ionic Solute

This paragraph extends the discussion on Raoult's law to include solutions with ionic solutes, such as calcium chloride in water. The key difference highlighted is that the total moles of ions in the solution must be considered, not just the moles of the ionic compound itself. The example calculates the moles of water and calcium chloride, converts the moles of calcium chloride to the moles of ions, and then calculates the mole fraction of water. Using Raoult's law, the vapor pressure of the solution is determined, showing how it is affected by the presence of ionic solute particles.

10:03
πŸ” Determining Glucose Mass for Desired Vapor Pressure

The final paragraph focuses on using Raoult's law to determine the amount of glucose needed to achieve a specific vapor pressure in a water solution. Given the vapor pressure of water at 40 degrees Celsius and the desired vapor pressure of the solution, the mole fraction of water is calculated. This leads to determining the moles of water and subsequently the moles of glucose required. The process involves algebraic manipulation to solve for the moles of glucose and then converting these moles to grams, ultimately providing the mass of glucose needed to create a solution with the desired vapor pressure.

Mindmap
Keywords
πŸ’‘Raoult's Law
Raoult's Law is a principle in physical chemistry that describes the relationship between the vapor pressure of a solution and the vapor pressure of its solvent. In the context of the video, Raoult's Law is used to calculate the vapor pressure of a solution containing a non-volatile solute. The law states that the vapor pressure of the solution is the product of the mole fraction of the solvent and the vapor pressure of the pure solvent. This is crucial in understanding how the presence of a solute affects the vapor pressure of a solvent.
πŸ’‘Vapor Pressure
Vapor pressure is the pressure exerted by a vapor in equilibrium with its condensed phases at a given temperature in a closed system. It is a key concept in the video as it is used to compare the vapor pressure of a pure solvent to that of a solution. The video discusses how the addition of a solute to a solvent decreases the vapor pressure of the solution, as seen in examples with glucose and calcium chloride solutions.
πŸ’‘Mole Fraction
Mole fraction is a measure of the amount of a component in a mixture, expressed as the ratio of the moles of that component to the total moles of all components in the mixture. In the video, the mole fraction of the solvent is calculated to apply Raoult's Law. It is essential in determining the vapor pressure of a solution, as it is multiplied by the vapor pressure of the pure solvent to find the vapor pressure of the solution.
πŸ’‘Solvent
A solvent is a substance that dissolves a solute to form a solution. In the video, water is used as the solvent in the examples. The vapor pressure of the solvent is a fundamental value needed to calculate the vapor pressure of the solution, and the solvent's mole fraction is a critical component in Raoult's Law.
πŸ’‘Solute
A solute is a substance that is dissolved in a solvent to form a solution. The video discusses the addition of non-volatile solutes like glucose and ionic solutes like calcium chloride to water. The presence of the solute affects the vapor pressure of the solution, making it lower than that of the pure solvent.
πŸ’‘Glucose
Glucose is a simple sugar and a common solute used in the video examples. It is used to demonstrate how the addition of a non-volatile solute to water affects the vapor pressure of the resulting solution. The calculation of the moles of glucose and its impact on the mole fraction of water is crucial in determining the vapor pressure of the glucose-water solution.
πŸ’‘Calcium Chloride
Calcium chloride is an ionic compound used in the video as an example of an ionic solute. When dissolved in water, it dissociates into ions, affecting the vapor pressure of the solution. The video explains how to calculate the moles of ions from the moles of calcium chloride to apply Raoult's Law.
πŸ’‘Molar Mass
Molar mass is the mass of one mole of a substance, typically expressed in grams per mole. It is used in the video to convert the mass of a substance into moles, which is necessary for calculating the mole fraction and applying Raoult's Law. The molar masses of water and glucose are given as examples.
πŸ’‘Ionic Compound
An ionic compound is a chemical compound composed of ions held together by ionic bonds. In the video, calcium chloride is an example of an ionic compound. The video explains that when calculating the vapor pressure of a solution with an ionic solute, the total moles of ions in the solution must be considered, not just the moles of the compound.
πŸ’‘Vapor Pressure of Pure Water
The vapor pressure of pure water at a specific temperature is a known value used as a reference in Raoult's Law calculations. In the video, the vapor pressure of pure water at 25 degrees Celsius is given as 23.8 torr and at 40 degrees Celsius as 55.3 torr. These values are used to calculate the vapor pressure of solutions by comparing them to the mole fraction of water in the solution.
Highlights

Introduction to Raoult's Law and its use in calculating vapor pressure of a solution.

Raoult's Law states that vapor pressure of a solution is less than that of the pure solvent when a non-volatile solute is added.

Example given: Vapor pressure of salt water solution is less than that of pure water.

Calculation of vapor pressure involves finding the mole fraction of the solvent.

Mole fraction is calculated as moles of solvent divided by total moles in the solution.

Example calculation provided for a solution of water and glucose.

Vapor pressure of the solution is calculated as the product of the mole fraction of water and the vapor pressure of pure water.

Result for the example shows the vapor pressure of the solution is slightly lower than that of pure water.

Introduction of a second example involving calcium chloride dissolved in water.

Explanation of how to calculate moles of water and moles of calcium chloride.

Emphasis on calculating total moles of ions when dealing with ionic compounds.

Vapor pressure of the solution is dependent on the total number of solute particles.

Calculation of mole fraction and vapor pressure for the calcium chloride solution.

Result for the calcium chloride solution shows a lower vapor pressure compared to pure water.

Introduction of a third example involving glucose added to water to achieve a specific vapor pressure.

Use of Raoult's Law to find the mass of glucose needed to achieve a desired vapor pressure.

Detailed calculation steps provided for determining the moles of glucose and its mass.

Final result shows the amount of glucose needed to create a solution with a specific vapor pressure at a given temperature.

Transcripts
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