Chapter 7: After Equivalence Point | CHM 214 | 069

Jacob Stewart
11 Feb 202105:53
EducationalLearning
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TLDRThe video script discusses the process of a titration involving silver and chloride, focusing on the point just past the equivalence point where all silver has reacted with chloride, leaving extra silver in the solution. It explains how to calculate the concentration of this excess silver and its significance in relation to the precipitation and solubility equilibrium. The script emphasizes that the point of equivalence is determined by the equilibrium constant of the reaction, not by the volumes or concentrations used, and that this value remains consistent for a given reaction.

Takeaways
  • πŸ§ͺ The script discusses a titration process involving silver and chloride reactants, with a focus on the point just past the equivalence point.
  • πŸ“ˆ At the equivalence point, all the silver has reacted with the chloride, and any additional silver present is excess and does not contribute to the reaction.
  • 🌈 The concentration of silver at the point just past the equivalence point is determined by the extra, unreacted silver present.
  • πŸ”¬ In a real titration, once the indicator changes color, further addition of titrant is unnecessary unless measuring the concentration of silver with an electrode.
  • πŸ“Š The calculation of moles of excess silver is based on the volume of the excess titrant and its concentration in millimoles per milliliter.
  • 🧬 The concentration of silver past the equivalence point is found by dividing the moles of excess silver by the total volume of the solution.
  • πŸ“‰ The concentration of silver drops significantly after the equivalence point, with a calculated value of 1.3 times 10 to the minus 3 molar.
  • πŸ“ The overall curve of the titration is characterized by a sharp change at the equivalence point, with the PAG value at this point being 2.89.
  • πŸ”„ The general trend of the titration curve is a steep curve at the equivalence point, followed by a more gradual change on either side.
  • 🌟 The PAG value at the equivalence point does not depend on the volumes or concentrations used in the titration, but is determined by the equilibrium constant of the reaction.
  • πŸ” The equivalence point provides a consistent value for the concentration being monitored, regardless of the concentrations or volumes used in the titration process.
Q & A
  • What is the significance of the equivalence point in a titration?

    -The equivalence point in a titration is the exact moment when the reactants have completely reacted with each other, resulting in a stoichiometric balance. At this point, the concentration of the analyte can be accurately determined without being affected by the volumes or concentrations of the reactants used.

  • What happens just past the equivalence point during a titration?

    -Just past the equivalence point, there is excess titrant present. In the context of the script, extra silver is added which does not react with the chloride present. This excess silver is considered as excess and does not contribute to the reaction but affects the concentration calculations.

  • How is the concentration of silver calculated after adding excess silver?

    -The concentration of silver after adding excess is calculated by determining the moles of the excess silver (0.1 millimoles in the example) and dividing it by the total volume of the solution (25 mL + 52 mL = 77 mL). The resulting concentration is then 1.3 times 10 to the minus 3 molar.

  • What is the role of an indicator in a titration?

    -An indicator in a titration is a chemical that changes color at or near the equivalence point, signaling to the experimenter that the reaction is complete. In the script, it is mentioned that the indicator would have already changed color before reaching the point of excess silver.

  • What is the significance of the PAG (Potential of the Aggressor) value?

    -The PAG value is a measure of the potential of the titrant to continue the reaction. It is a useful metric to understand the progress of the titration and the point at which the reaction is complete. At the equivalence point, the PAG value does not depend on the volumes or concentrations used in the titration.

  • How does the concentration of silver change as we move from before, at, and after the equivalence point?

    -Before the equivalence point, the concentration of silver changes as the reaction progresses. At the equivalence point, the concentration of silver is at its highest and is controlled by the equilibrium constant (ksp in the case of silver chloride). After the equivalence point, the concentration of silver decreases due to the addition of excess silver, which does not react further.

  • What is the relationship between the concentration of silver and the volume of the titrant added?

    -The concentration of silver is inversely proportional to the volume of the titrant added. As more titrant is added, the concentration of silver decreases, especially after the equivalence point when excess silver is present.

  • Why is it important to understand the titration curve?

    -Understanding the titration curve is crucial for accurately determining the equivalence point and the concentration of the analyte. It helps in analyzing the progress of the reaction and making precise measurements in experimental settings.

  • How does the solubility product constant (ksp) influence the concentration of silver in the reaction?

    -The solubility product constant (ksp) controls the concentration of silver when it is in equilibrium with its precipitate form (like silver chloride). At the equivalence point, the concentration of silver is determined by the ksp, indicating a balance between the dissolved and precipitated forms of silver.

  • What is the general trend observed in a titration curve?

    -The general trend observed in a titration curve is a sharp change in the PAG value or concentration at the equivalence point, followed by a more gradual change before and after this point. The curve can be used to determine the precision of the titration and the accuracy of the measured concentrations.

  • How does the titration curve change when excess titrant is added?

    -When excess titrant is added, the titration curve shows a sharp decrease in the PAG value or concentration of the analyte, indicating that the reaction has gone beyond the stoichiometric balance and excess reactant is present in the solution.

Outlines
00:00
πŸ§ͺ Chemistry of Silver and Chloride Reaction

This paragraph discusses the chemical process occurring just past the equivalence point in a titration experiment involving silver and chloride. At this stage, all the silver has reacted with the chloride, leaving an excess of unreacted silver. The speaker calculates the concentration of this excess silver, which is determined by the volume and molarity of the added titrant. The concentration is found to be quite high, even after the equivalence point, and the significance of the solubility product constant (ksp) is discussed in relation to the concentration of silver. The paragraph concludes with a molar concentration calculation, resulting in 1.3 times 10 to the minus 3 molar, and a discussion on the overall curve of the titration, highlighting the sharp change in concentration at the equivalence point.

05:01
πŸ“ˆ Titration Curve and Equivalence Point

This paragraph focuses on the concept of the equivalence point in a titration and how it relates to the titration curve. The speaker explains that the point of greatest interest (pag) does not depend on the volumes or concentrations used in the titration, but is instead controlled by the equilibrium constant of the reaction. This means that, regardless of the concentrations or volumes involved, the value at the equivalence point will always be the same for a given chemical reaction. The speaker also notes that this consistency does not hold true before and after the equivalence point, where differences in concentration can lead to variations in the titration curve. The paragraph emphasizes the importance of understanding the relationship between the chemical reaction and the observed changes in concentration during a titration.

Mindmap
Keywords
πŸ’‘equivalence point
The equivalence point refers to the specific volume in a titration where the stoichiometric amounts of reactants have completely reacted with each other. In the context of the video, it is the point at which all the silver has reacted with the chloride, forming a precipitate. This is a critical point in the titration process as it indicates the completion of the reaction and is used to determine the concentration of the unknown solution. The video emphasizes that the pH at the equivalence point (PAg) does not depend on the volumes or concentrations used in the titration, which is a general principle in titration analysis.
πŸ’‘titration
Titration is a laboratory method used to determine the concentration of an unknown solution by reacting it with a solution of known concentration, called the titrant. The process involves the gradual addition of the titrant to the unknown solution until the reaction is complete, which is indicated by a color change from an indicator or an electrode measurement. The video discusses the titration curve, which plots the change in pH or concentration against the volume of titrant added, and how it can be used to understand the reaction dynamics and the equivalence point.
πŸ’‘indicator
An indicator is a substance used in titration to visually signal the endpoint of the reaction. It changes color at or near the equivalence point, indicating that the reaction is complete. In the video, it is mentioned that the indicator would have already changed color by the time one reaches a point just past the equivalence point, suggesting that the reaction is complete and further titration is not necessary unless measuring the concentration of silver directly.
πŸ’‘titrant
The titrant is the solution of known concentration that is added to the unknown solution during a titration. Its role is to react completely with the analyte (the substance being tested) to determine the analyte's concentration. The video discusses how the concentration of silver, which is the titrant in this case, is used to understand the titration curve and the equivalence point.
πŸ’‘concentration
Concentration refers to the amount of a particular substance present in a given volume of solution. It is a crucial concept in titration as it allows the calculation of the unknown concentration based on the known concentration of the titrant and the volumes used in the reaction. The video explains how the concentration of silver changes throughout the titration process and how it can be calculated at different points, including at the equivalence point and just past it.
πŸ’‘silver chloride
Silver chloride (AgCl) is a compound formed by the reaction between silver ions (Ag+) and chloride ions (Cl-). In the context of the video, silver chloride is the precipitate formed when silver reacts with chloride during the titration process. The formation of this precipitate is indicative of the reaction's progress and is used to determine the equivalence point.
πŸ’‘precipitate
A precipitate is a solid substance that forms from a solution when two ions react, and it is not soluble in that solvent. In the video, the formation of silver chloride (AgCl) as a precipitate is discussed as a key event in the titration process. The precipitate's formation signifies that the reaction between silver and chloride has occurred, and it is used to identify the equivalence point.
πŸ’‘Ksp
The solubility product constant (Ksp) is a value that indicates the maximum solubility of a compound in a solution. It is used to calculate the concentration of ions in a saturated solution at equilibrium. In the context of the video, Ksp is mentioned in relation to the concentration of silver ions in the presence of excess chloride, but it is noted that Ksp becomes less relevant once the equivalence point is reached and excess silver is added.
πŸ’‘moles
Moles are a unit of measurement used in chemistry to express amounts of a chemical substance. One mole of any substance contains Avogadro's number of entities (approximately 6.022 x 10^23). In the video, the calculation of moles of silver is discussed to determine the concentration of silver at a point just past the equivalence point. This calculation is crucial for understanding the titration curve and the reaction's stoichiometry.
πŸ’‘PAg
PAg is a measure of the negative logarithm of the silver ion concentration, similar to pH but specific to silver ions. It is used as an indicator of the silver ion concentration in the solution during the titration process. The video discusses how the PAg value changes throughout the titration and how it can be used to identify the equivalence point, where the PAg is found to be 4.87.
πŸ’‘titration curve
A titration curve is a graphical representation that plots the change in some property (such as pH or concentration) against the volume of titrant added. It provides a visual overview of the titration process, showing the initial reactant concentrations, the equivalence point, and the behavior of the system after the equivalence point. The video describes the shape of the titration curve, noting the sharp change at the equivalence point and the significance of this curve in understanding the titration process.
πŸ’‘excess reactant
An excess reactant is a quantity of one of the reactants in a chemical reaction that is greater than what is needed for the complete reaction with the other reactants. In the context of the video, excess silver is mentioned after the equivalence point has been passed, indicating that not all of the added silver has reacted and some remains in excess. This excess reactant can affect the concentration calculations and the interpretation of the titration results.
Highlights

The discussion focuses on the titration process, particularly the point just past the equivalence point where all the silver has reacted with the chloride.

At the point past the equivalence point, there is extra silver that did not react with the chloride, which is considered as excess.

In an actual titration, the indicators would have changed color by the time this extra silver is present, indicating that further titration is unnecessary unless measuring the concentration of silver with an electrode.

The first 50 milliliters of silver react, and the excess silver is the extra 2 milliliters, which is the focus for calculating moles.

The calculation for the moles of excess silver involves multiplying the extra volume (2 mL) by the concentration (0.05 mmoles/mL), resulting in 0.1 mmoles.

The concentration of silver is determined by dividing the moles (0.1 mmoles) by the total volume (25 mL + 52 mL).

The calculated concentration of silver comes out to be 1.3 times 10 to the negative 3rd molar, after checking the math.

The PAG (Potential of the Agar Gel) value at this point is equal to 2.89, even past the equivalence point.

The overall curve of the titration is discussed, with the PAG on the y-axis and volume in milliliters on the x-axis.

The equivalence point is determined to be at 50 milliliters, with a PAG value of 4.87.

The general trend of the titration curve is described, with a very sharp curve at the equivalence point and a continuation beyond it.

The presence of excess chloride and silver at different points in the titration and how Ksp (solubility product constant) controls the concentration of silver is discussed.

At the equivalence point, the PAG does not depend on the volumes or concentrations involved, which is a general truth for any titration.

The value of PAG or the concentration monitored will only be controlled by the equilibrium constant associated with the reaction.

It is emphasized that the value at the equivalence point will always be the same for a given reaction, regardless of the concentrations or volumes used.

The impact of concentration differences before and after the equivalence point is noted, with variations possible for the same titration curve.

Transcripts
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