2025 updated! 2017 EduLab Titration Curves by Grace Leong

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older version: https://iwant2study.org/lookangejss/chemistry/2017%2001%2031/

https://iwant2study.org/lookangejss/chemistry/grace_leong_titration.zip

  Download model (simulator made by grace leong)

🔬 Level Up Your Virtual Lab: The Journey of Refining Chemistry Titration Simulations!

Hey science enthusiasts and aspiring chemists! Ever wondered what powers those sleek simulations that help you master acid-base titrations? Spoiler alert: it’s not just chemistry—it’s also code, creativity, and a ton of debugging!

https://iwant2study.org/lookangejss/chemistry/2025_04_14/

In this behind-the-scenes look, we're sharing the process of upgrading a suite of titration simulations—covering Strong Acid/Strong Base (SASB)

https://iwant2study.org/lookangejss/chemistry/2025_04_14/SASB.html


, Strong Acid/Weak Base (SAWB)

https://iwant2study.org/lookangejss/chemistry/2025_04_14/SBSA.html


, Strong Base/Strong Acid (SBSA)

https://iwant2study.org/lookangejss/chemistry/2025_04_14/WASB.html


, and Weak Acid/Strong Base (WASB)

https://iwant2study.org/lookangejss/chemistry/2025_04_14/WBSA.html


Strong Base against Weak Acid  

https://iwant2study.org/lookangejss/chemistry/2025_04_14/SBWA.html

 

Strong Acid - Weak Base 

https://iwant2study.org/lookangejss/chemistry/2025_04_14/SAWB.html

 

scenarios. Think of it as chemistry class meets software engineering!

🧪 Why Update? The Pursuit of Digital Excellence

Titration is a foundational technique in chemistry, letting us determine the concentration of unknown solutions with precision. Virtual labs bring this process to life—offering safe, repeatable, and highly visual practice environments.

But just like our understanding of chemistry evolves, so should the simulations that teach it. Here’s what we aimed to improve:

  1. Accuracy Boost: Refining titration models using more precise pKa/pKb values, ionic strength corrections, and activity coefficients.

  2. User-Friendly Design: Adding controls for selecting indicators, adjusting concentrations, and visually highlighting the equivalence point.

  3. Modernized UI: Updating the interface for cross-device compatibility using responsive design (thank you, Bootstrap!).

  4. Optimized Codebase: Rewriting parts of the JavaScript for performance and maintainability, with smart use of libraries like jQuery and D3.js.

  5. Accessibility First: Ensuring the simulations are usable by all learners, including those using assistive technology.

⚙️ Under the Hood: Where Chemistry Meets Code

Updating these simulations is a multidisciplinary effort. Here’s a peek at the tech stack that powers them:

Every drop of titrant, every change in pH—it's all coded to behave like the real deal.

🧩 Development Challenges: From Bugs to Breakthroughs

Let’s be real: upgrading simulations isn’t all smooth sailing. We hit a few bumps along the way:

Despite the challenges, the final results make it all worthwhile—more accurate, more interactive, and way more fun to use.

(Optional image insertion: SASB.png with caption: “Titration curve generated by the updated Strong Acid–Strong Base simulation.”)

🚀 Outcome: A Sharper Tool for Science Education

The revamped simulations now deliver:

✅ Clearer Visual Feedback – Understand pH shifts instantly through dynamic, high-resolution graphs.
✅ Greater Interactivity – Customize acid/base strength, concentration, and volumes to explore “what-if” scenarios.
✅ Deeper Learning – Practice without fear. Make mistakes. Try again. Master the concept.

These aren’t just simulations—they’re guided, digital lab experiences.

🔭 What’s Next?

Educational tech is always evolving. Future plans may include:

Our mission remains clear: make science learning engaging, interactive, and accessible to all.

So next time you fire up a virtual titration lab, remember: behind the clean UI and smooth sliders is a blend of chemistry, code, and care. Happy titrating!

Titration Curves [H2 Chemistry]

 
What are titration curves and how can we read and interpret them?
Objectives

Overview:

This briefing document summarizes the key themes and important ideas presented in the provided excerpts from Grace Leong's "2017 EduLab Titration Curves" resource. This Open Educational Resource (OER) focuses on teaching and learning about titration curves in H2 Chemistry (a Singaporean upper secondary/junior college chemistry syllabus). The resource utilizes an interactive titration curve generator simulation to help students understand the changes in pH during acid-base titrations and interpret the resulting curves.

Main Themes and Important Ideas:

  1. Introduction to Titration Curves:
  • The resource defines titration as "the slow addition of a solution with known concentration (called a titrant) to a known volume of another solution with unknown concentration until the end point."
  • It highlights the practical applications of titrations in industries like medical and food, where determining unknown amounts of substances is crucial.
  • A titration curve is defined as "a graph of pH against volume of titrant added," illustrating the pH changes during the titration process.
  1. Objectives of Learning:
  • The primary objectives of this resource are to enable students to:
  • "Describe the changes in pH during acid-base titrations."
  • "Explain these changes in terms of the strengths of acids and bases."
  • This involves understanding the relationship between the type of acid and base used (strong or weak) and the shape of the resulting titration curve.
  1. Prerequisite Knowledge:
  • The resource explicitly lists the necessary prior knowledge for students to effectively engage with the material:
  • "Concepts from mole concept and stoichiometry"
  • "Theories of acids and bases"
  • "Equilibria"
  • "Qualitative differences between strong and weak acids in terms of the extent of dissociation"
  • "Understanding of the terms K a, p K a, K b, p K b, K w, including the relationship Kw = KaKb"
  • "Calculating [H+] and pH values for strong acids, weak monoprotic acids, strong bases, and weak monoacidic bases"
  • "Explaining how buffer solutions control pH"
  • "Calculating of pH of buffer solutions, given appropriate data"
  1. Importance of Interpreting Titration Curves:
  • The resource emphasizes the skill of reading and interpreting titration curves, stating that "It provides the training to read scientific graphs where different regions and different points each have their own significance."
  • This skill is deemed important for students considering higher-level science studies or STEM-related careers.
  1. Interactive Titration Curve Generator:
  • The core of the resource is a "titration curve generator," a simulation that allows students to explore the shapes of various titration curves involving strong and weak acids and bases.
  • Students can change parameters such as "Concentration of solutions," "Type of reagent - monoprotic or diprotic," and "K a (for weak acids) / K b (for weak bases)."
  • By manipulating these parameters, students can observe the impact on the "General shape of curve," "Volume required for complete neutralisation," and "pH at point of complete neutralisation."
  1. Key Observations Across Titration Curves:
  • The resource prompts students to identify what is "common across all titration curves at the point of complete neutralisation." (The answer is not explicitly provided in the excerpts but is intended for student discovery through the simulation.)
  • It explicitly states that "When a strong acid is changed to a weak acid of the same concentration, the volume of the same base required for complete neutralisation stays the same." This highlights that stoichiometry, not acid strength, determines the equivalence point volume.
  • The "approximate pH change at the point of complete neutralisation for a strong acid - weak base titration is from 3 to 7," indicating an acidic pH at equivalence for this type of titration.
  1. Detailed Examination of Specific Titration Types:
  • The resource delves into the specifics of strong acid - strong base and weak acid - strong base titrations, encouraging students to "Pay special attention to the species present at each point of the titration."
  • Students are expected to perform pH calculations at different points on the curve.
  1. Example: Titration of Weak Acid (Ethanoic Acid) with Strong Base (Sodium Hydroxide):
  • A specific example is provided: "Sketch on a piece of paper, the titration curve obtained when 20 cm3 of 0.100 mol dm-3 ethanoic acid (p K a = 4.7) is added to 10.0 cm3 of 0.100 mol dm-3 sodium hydroxide." This is identified as "a titration of a strong base against a weak acid."
  • Five key points on the resulting curve are explained:
  • (i) Initial pH: Determined by the concentration of the strong base (NaOH). Calculation shown: pH = 13.
  • (ii) pH change during neutralisation: Characterized by a sharp change near the equivalence point.
  • (iii) pH at equivalence point: Greater than 7 due to the formation of a basic salt (sodium ethanoate) that hydrolyzes in water, producing hydroxide ions (OH-). The hydrolysis equation is provided: "CH3COO- + H2O ⇌ CH3COOH + OH-". The pH at the equivalence point is calculated to be 8.70.
  • (iv) Volume of ethanoic acid required to reach equivalence point: Calculated using stoichiometry, demonstrating a 1:1 mole ratio between ethanoic acid and NaOH. The volume is determined to be 10 cm3.
  • (v) Volume of ethanoic acid required for pH = p K a: Explained in the context of buffer solutions being at maximum buffering capacity when pH = p K a. For this specific titration (strong base added to weak acid), the buffer region forms after the equivalence point. The volume required is 20 cm3 (10 cm3 to reach equivalence and another 10 cm3 to create equal amounts of weak acid and conjugate base).
  1. Determining K a from a Titration Curve:
  • Another example involving a weak monoprotic acid (HX) and NaOH is presented.
  • It is stated that "When 10 cm3 of NaOH was added, half the HX has reacted to form salt. There is equal amount of excess HX and X- present and pH = pKa."
  • Given that at this half-equivalence point, pH = 5, it is concluded that pKa = 5 and Ka = 1.0 × 10−5 mol dm−3. This highlights how a titration curve can be used to determine the acid dissociation constant.

Potential Discussion Points/Further Exploration:

  • The resource encourages hands-on exploration with the simulation. The effectiveness of this approach could be discussed.
  • The level of mathematical detail provided for pH calculations suggests the target audience has a solid foundation in basic chemistry calculations.
  • The inclusion of prerequisite knowledge makes it clear what concepts students should have mastered before using this resource.
  • The specific examples provided (strong acid-strong base, weak acid-strong base) could be expanded upon with other combinations (strong base-weak acid, weak acid-weak base) using the simulation.
  • The mention of buffer solutions and their maximum buffering capacity at pH = pKa is a key link between acid-base equilibria and titration curves.

Conclusion:

Grace Leong's "2017 EduLab Titration Curves" OER provides a comprehensive and interactive approach to understanding acid-base titrations. By combining clear explanations, illustrative examples, and a practical simulation tool, the resource aims to equip H2 Chemistry students with the ability to describe pH changes during titrations, interpret titration curves, and relate these observations to the strengths of acids and bases. The emphasis on prerequisite knowledge and the detailed breakdown of different titration types make this a valuable resource for chemistry education.

 

 

Titration Curves Study Guide

Overview

This study guide is designed to help you review the key concepts related to titration curves, focusing on acid-base titrations. It covers the definition, interpretation, and factors influencing the shape of these curves, including the strength of acids and bases, and the significance of the equivalence point and buffer regions.

Key Concepts to Review

  • Titration: The process of gradually adding a solution of known concentration (titrant) to a solution of unknown concentration (analyte) to determine the analyte's concentration.
  • Titration Curve: A graph plotting pH against the volume of titrant added during a titration.
  • Strong Acids and Bases: Substances that completely dissociate in aqueous solutions.
  • Weak Acids and Bases: Substances that only partially dissociate in aqueous solutions, characterized by their acid dissociation constant (Ka) or base dissociation constant (Kb).
  • Equilibrium: The state where the rates of the forward and reverse reactions are equal.
  • Ka, pKa, Kb, pKb, Kw:** Understand the definitions and relationships between these constants, including Kw = KaKb.
  • pH Calculations: Be able to calculate the pH of strong acids, weak monoprotic acids, strong bases, and weak monoacidic bases.
  • Buffer Solutions: Solutions that resist changes in pH upon the addition of small amounts of acid or base. Understand how they work and how to calculate their pH using the Henderson-Hasselbalch equation (derived from the Ka expression for a weak acid buffer).
  • Neutralization Reaction: The reaction between an acid and a base, typically producing a salt and water.
  • Equivalence Point: The point in a titration where stoichiometrically equivalent amounts of acid and base have reacted.
  • End Point: The point in a titration where an indicator changes color, signaling the approximate completion of the reaction.
  • Hydrolysis of Salts: The reaction of a salt with water to produce an acidic or basic solution.
  • Buffer Region: The region on a weak acid/base titration curve where the pH changes gradually, corresponding to the presence of both the weak acid/base and its conjugate.
  • Significance of Different Regions of a Titration Curve: Understand what each part of the curve represents in terms of the species present in the solution.

Quiz

Answer the following questions in 2-3 sentences each.

  1. What is a titration curve, and what two variables are plotted on it?
  2. Explain the difference in the extent of dissociation between a strong acid and a weak acid in aqueous solution.
  3. Define the equivalence point of a titration. What is true about the moles of acid and base at this point?
  4. What is a buffer solution, and why does it resist changes in pH?
  5. How does the pH at the equivalence point differ for a strong acid-strong base titration compared to a weak acid-strong base titration? Explain why.
  6. What information can be gained by examining the shape of a titration curve?
  7. Describe what happens in a weak acid-strong base titration before the equivalence point when the pH of the solution is equal to the pKa of the weak acid.
  8. If you are titrating a weak base with a strong acid, will the pH at the equivalence point be acidic, basic, or neutral? Explain your reasoning.
  9. What remains in the solution at the equivalence point of a strong acid-weak base titration? What property might this product have?
  10. How does the volume of titrant required to reach the equivalence point change if you replace a strong acid with a weak acid of the same initial concentration when titrating with the same strong base?

Quiz Answer Key

  1. A titration curve is a graph that shows the change in pH of a solution as a titrant is added. The two variables plotted are pH (on the y-axis) and the volume of titrant added (on the x-axis).
  2. A strong acid completely dissociates into its ions in aqueous solution, meaning almost every molecule donates a proton (H+). A weak acid only partially dissociates, with an equilibrium established between the undissociated acid and its ions.
  3. The equivalence point of a titration is the point at which stoichiometrically equivalent amounts of the acid and base have reacted. At this point, the moles of acid initially present have completely reacted with the moles of base added according to the balanced chemical equation.
  4. A buffer solution is a solution that contains a weak acid and its conjugate base (or a weak base and its conjugate acid) in significant concentrations. It resists pH changes because the weak acid can neutralize added base, and the conjugate base can neutralize added acid, maintaining a relatively stable pH.
  5. The pH at the equivalence point of a strong acid-strong base titration is typically neutral (pH ≈ 7) because the salt formed does not undergo hydrolysis to a significant extent. In contrast, the pH at the equivalence point of a weak acid-strong base titration is basic because the conjugate base of the weak acid hydrolyzes to produce hydroxide ions (OH-).
  6. The shape of a titration curve can provide information about the strength of the acid and base involved, the pH at the equivalence point, the volume of titrant needed to reach the equivalence point, and the presence and buffering capacity of any buffer regions.
  7. When the pH of the solution is equal to the pKa of the weak acid in a weak acid-strong base titration before the equivalence point, the concentration of the weak acid is equal to the concentration of its conjugate base. This point represents the maximum buffering capacity of the solution.
  8. If titrating a weak base with a strong acid, the pH at the equivalence point will be acidic. This is because the conjugate acid of the weak base will hydrolyze in water, producing hydronium ions (H+), thus lowering the pH below 7.
  9. At the equivalence point of a strong acid-weak base titration, the solution primarily contains the salt formed from the reaction, which is the conjugate acid of the weak base. This conjugate acid can act as a weak acid and undergo hydrolysis, producing H+ ions and resulting in an acidic pH.
  10. The volume of titrant required to reach the equivalence point remains the same if you replace a strong acid with a weak acid of the same initial concentration when titrating with the same strong base. This is because the equivalence point is determined by the stoichiometry of the reaction, and the same number of moles of base are needed to neutralize the same number of moles of acid, regardless of the acid's strength.

Essay Format Questions

  1. Compare and contrast the titration curves of a strong acid titrated with a strong base and a weak acid titrated with a strong base. Discuss the key differences in their shapes and explain the chemical reasons behind these differences, paying particular attention to the initial pH, the buffer region (if any), the pH at the equivalence point, and the sharpness of the pH change near the equivalence point.
  2. Explain the significance of the Henderson-Hasselbalch equation in the context of weak acid-base titrations. Describe how this equation relates pH, pKa, and the concentrations of a weak acid and its conjugate base. Furthermore, discuss how the buffer region on a titration curve relates to the conditions under which this equation is most applicable and provides the greatest insight.
  3. Consider the titration of a polyprotic acid (an acid with more than one ionizable proton) with a strong base. Sketch a general titration curve for such an acid and explain the features of the curve, including the presence of multiple equivalence points and buffer regions. Discuss how the Ka values for each ionization step influence the shape of the curve and the pH at each equivalence point.
  4. Discuss the practical applications of titration curves in chemistry and related fields. Provide specific examples of how titration curves are used to determine the concentration of unknown solutions, identify unknown acids or bases, and understand the behavior of buffer solutions. Consider applications in areas such as environmental monitoring, pharmaceutical analysis, or food science.
  5. Critically evaluate the use of indicators in acid-base titrations. Explain how indicators work and the criteria for selecting an appropriate indicator for a particular titration. Discuss the concept of the "end point" versus the "equivalence point" and the factors that can lead to discrepancies between these two points. How do titration curves help in understanding the suitability of a given indicator?

Glossary of Key Terms

  • Analyte: The solution with an unknown concentration that is being titrated.
  • Buffer Capacity: The amount of acid or base that can be added to a buffer solution before a significant change in pH occurs.
  • Conjugate Acid: The species formed when a base accepts a proton (H+).
  • Conjugate Base: The species remaining after an acid has donated a proton (H+).
  • Diprotic Acid: An acid that can donate two protons per molecule.
  • Dissociation Constant (K): An equilibrium constant that describes the extent to which a compound dissociates into ions in solution (e.g., Ka for acids, Kb for bases).
  • End Point: The point in a titration where a visual indicator (like a color change) signals that the reaction is complete.
  • Equivalence Point: The point in a titration where the moles of titrant added are stoichiometrically equivalent to the moles of analyte present.
  • Hydrolysis: The reaction of a salt with water, which can result in a solution that is acidic, basic, or neutral depending on the nature of the salt ions.
  • Monoprotic Acid: An acid that can donate only one proton per molecule.
  • pKa: The negative logarithm (base 10) of the acid dissociation constant (Ka); a measure of acid strength (lower pKa indicates a stronger acid).
  • pKb: The negative logarithm (base 10) of the base dissociation constant (Kb); a measure of base strength (lower pKb indicates a stronger base).
  • pOH: The negative logarithm (base 10) of the hydroxide ion concentration ([OH-]).
  • Strong Base: A base that completely dissociates in aqueous solution to produce hydroxide ions (OH-).
  • Strong Acid: An acid that completely dissociates in aqueous solution to produce hydronium ions (H3O+ or often simplified as H+).
  • Titrant: The solution with a known concentration that is added to the analyte during a titration.
  • Weak Base: A base that only partially reacts with water to produce hydroxide ions (OH-), existing in equilibrium with its conjugate acid and hydroxide ions.
  • Weak Acid: An acid that only partially dissociates in water, existing in equilibrium with its conjugate base and hydronium ions.
 
  1. Describe the changes in pH during acid-base titrations 
  2. Explain these changes in terms of the strengths of acids and bases 
Prerequisite knowledge
  • Concepts from mole concept and stoichiometry, theories of acids and bases, equilibria
  • Qualitative differences between strong and weak acids in terms of the extent of dissociation
  • Understanding of the terms Ka, pKa, Kb, pKb, Kw, including the relationship Kw = KaKb
  • Calculating [H+] and pH values for strong acids, weak monoprotic acids, strong bases, and weak monoacidic bases
  • Explaining how buffer solutions control pH
  • Calculating of pH of buffer solutions, given appropriate data

About Introduction to Titration Curves https://library.opal.moe.edu.sg/ictc&func=view&rid=2348

Titration is the slow addition of a solution with known concentration (called a titrant) to a known volume of another solution with unknown concentration until the end point. It is often used in medical and food industries where unknown amounts of different substances can be determined. 
You should be familiar with performing acid-base titrations in the chemistry laboratory. During a titration, the pH of the solution changes. A titration curve depicts the changes in pH of the solution as the titrant (the solution in the burette) is added to the solution in the conical flask. In short, atitration curve is a graph of pH against volume of titrant added.

Can you predict the shape of the titration curve obtained when a solution of NaOH was titrated against HCl?

taken from https://www.chemguide.co.uk/physical/acidbaseeqia/phcurves.html
It is important to learn the skill of reading a titration curve. It provides the training to read scientific graphs where different regions and different points each have their own significance. These are skills you might need if you decide to pursue science at a higher level, or engage in STEM related careers. 

In this lesson, you will be working with a titration curve generator, a simulation to generate and explore the shapes of titration curves involving strong or weak acids and bases.

If you are not yet familiar with the usage of the titration curve generator, please read the introduction tab or watch this video to learn how to use it.

Exploring pH changes using the titration curve generator 

Change the parameters and explore the features of the titration curve generator. Generate the shapes of the various titration curves

Change these parameters:

  • Concentration of solutions

  • Type of reagent - monoprotic or diprotic

  • Values of Ka (for weak acids) /Kb (for weak bases)

 

Observe what happens to the:

  • General shape of curve
  • Volume required for complete neutralisation
  • pH at point of complete neutralisation

What is common across all titration curves at the point of complete neutralisation? 

When a strong acid is changed to a weak acid of the same concentration, the volume of the same base required for complete neutralisation

stays the same

The approximate pH change at the point of complete neutralisation for a strong acid - weak base titration is from

3 to 7

Strong acid - Strong base titration curve

Do you know the explanations behind the shape of the titration curve? Can you visualise what is happening in the reaction mixture at different points on the titration curve?
Let's take a closer look at the typical points of interest on a titration curve, starting off with a strong acid - strong base titration. Pay special attention to the species present at each point of the titration.
Have your calculator and some rough paper handy to perform some pH calculations as you go through the interactive!

Weak acid - Strong base titration curve

What happens when the strong acid is replaced by a weak acid? How does the curve change and why does it change? Let's explore. As before, the important things to note are the species present at each point of the titration.
Once again, have your calculator and some rough paper handy to perform some pH calculations as you go through the interactive!

Check your understanding Sketch on a piece of paper, the titration curve obtained when 20 cm3 of 0.100 mol dm-3 ethanoic acid (pKa = 4.7) is added to 10.0 cm3 of 0.100 mol dm-3 sodium hydroxide. In your sketch, pay attention to the initial pH, pH at equivalence point ,volume of ethanoic acid required to reach equivalence point, volume of ethanoic acid required for pH = pKa.

This is a titration of a strong base against a weak acid.
TitrationQ5ans
Points (i) to (v) of the graph above are explained below:
(i) initial pH
At the beginning, only strong base is present in the solution, hence, the initial pH = pH of the strong base
pOH = -lg(0.100) = 1
pH = 14 - 1.00 = 13
 
(ii) pH change during neutralisation 
The shape of the curve reflects a sharp change in pH before and after complete neutralisation (equivalence point).
(iii) pH at equivalence point
At equivalence point, the pH is greater than 7 as a basic salt is formed from the strong base - weak acid titration. A basic salt hydrolyses in water to produce OH-. 
Equation showing hydrolysis of basic salt, CH3COO-Na+
CH3COO- + H2O http://www.w3.org/1998/Math/MathML" class="wrs_chemistry">⇌" class="Wirisformula" role="math" alt="rightwards harpoon over leftwards harpoon" style="box-sizing: border-box; min-width: auto; min-height: auto; padding: 0px; margin: 0px; outline: none; display: inline-block; vertical-align: -1px; border: none; height: 13px; width: 20px;"> CH3COOH + OH-
(iv) volume of ethanoic acid required to reach equivalence point
http://www.w3.org/1998/Math/MathML" class="wrs_chemistry">CH3COOH + NaOH→CH3COONa +H2O" class="Wirisformula" role="math" alt="CH subscript 3 COOH space plus space NaOH rightwards arrow CH subscript 3 COONa space plus straight H subscript 2 straight O" style="box-sizing: border-box; min-width: auto; min-height: auto; padding: 0px; margin: 0px; outline: none; display: inline-block; vertical-align: -4px; border: none; height: 16px; width: 317px;"> (they react in a 1:1 ratio)
Amount of sodium hydroxide = (0.100)(10/1000) = 1.00 x 10-3 mol
Amount of ethanoic acid = 1.00 x 10-3 mol
Volume of ethanoic acid = http://www.w3.org/1998/Math/MathML">1×10-30.100" class="Wirisformula" role="math" alt="fraction numerator 1 cross times 10 to the power of negative 3 end exponent over denominator 0.100 end fraction" style="box-sizing: border-box; min-width: auto; min-height: auto; padding: 0px; margin: 0px; outline: none; display: inline-block; vertical-align: -12px; border: none; height: 40px; width: 73px;"> = 10 cm3
 
For those who are interested, the following shows the steps to calculate the pH of a basic salt at equivalence point:
Since concentration of NaOH and CH3CO2H are the same and they react in 1:1 mole ratio, volume of ethanoic acid required to reach equivalence point = 10 cm3
Total volume of solution at equivalence point = 10 + 10 = 20 cm3
http://www.w3.org/1998/Math/MathML" class="wrs_chemistry">CH3COO-+H2O⇌CH3COOH+OH-" class="Wirisformula" role="math" alt="CH subscript 3 COO to the power of minus plus straight H subscript 2 straight O rightwards harpoon over leftwards harpoon CH subscript 3 COOH plus OH to the power of minus" style="box-sizing: border-box; min-width: auto; min-height: auto; padding: 0px; margin: 0px; outline: none; display: inline-block; vertical-align: -4px; border: none; height: 16px; width: 279px;">
Amount of sodium ethanoate formed = 1.00 x 10-3 mol
Concentration of sodium ethanoate = http://www.w3.org/1998/Math/MathML">1×10-3201000" class="Wirisformula" role="math" alt="fraction numerator 1 cross times 10 to the power of negative 3 end exponent over denominator begin display style bevelled 20 over 1000 end style end fraction" style="box-sizing: border-box; min-width: auto; min-height: auto; padding: 0px; margin: 0px; outline: none; display: inline-block; vertical-align: -19px; border: none; height: 47px; width: 76px;"> = 0.05 mol dm-3
http://www.w3.org/1998/Math/MathML">[OH-]=Kbc=10-1410-4.7(0.05)=4.087x10-6pOH=5.300pH = 14 - pOH=8.70 (3sf)" class="Wirisformula" role="math" alt="left square bracket OH to the power of minus right square bracket equals square root of straight K subscript straight b straight c end root equals square root of 10 to the power of negative 14 end exponent over 10 to the power of minus to the power of 4.7 end exponent left parenthesis 0.05 right parenthesis end root equals 4.087 straight x 10 to the power of negative 6 end exponent pOH equals 5.300 pH space equals space 14 space minus space pOH equals 8.70 space left parenthesis 3 sf right parenthesis" style="box-sizing: border-box; min-width: auto; min-height: auto; padding: 0px; margin: 0px; outline: none; display: inline-block; vertical-align: -82px; border: none; height: 161px; width: 219px;">
 
(v) volume of ethanoic acid required for pH = pKa 
When a solution is at pH = pKa, the buffer solution is at maximum buffering capacity. (If you have forgotten what a buffer solution is, you can re-visit the SLS lesson Introduction to Buffers)
When pH = pKa, the solution contains equal amounts of sodium ethanoate (conjugate base) and ethanoic acid (weak acid). 
Before equivalence point, every drop of ethanoic acid added will react with sodium hydroxide, forming sodium ethanoate. There will be no ethanoic acid present. 
At equivalence point, only sodium ethanoate will be present. All amounts of sodium hydroxide will also have been reacted.
After equivalence point, the sodium ethanoate will remain in the solution. In addition, since there will no longer be any sodium hydroxide left, every drop of excess ethanoic acid added will also remain in the solution as it does not react. In this titration, the buffer region will only be formed after the equivalence point. 
The first 10cm3 of ethanoic acid added formed sodium ethanoate at the equivalence point. In order for the solution to contain an equal amount of sodium ethanoate and ethanoic acid, another 10cm3 of ethanoic acid needs to be added after the equivalence point. Therefore, the volume of ethanoic acid required for pH = pKa is 10 + 10 = 20cm3.
The titration curve below shows the reaction between a solution of a weak monoprotic acid, HX, and aqueous sodium hydroxide.
TitrationQ6

What is the value of Ka, in mol dm−3, for this acid HX?

1.0 × 10−5

Good job! When 10 cm3 of NaOH was added, half the HX has reacted to form salt. There is equal amount of excess HX and X- present and pH = pKa.
Since pH = 5, pKa = 5 and Ka = 10-5

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Frequently Asked Questions: Understanding Titration Curves

1. What is a titration curve and what information does it provide?

A titration curve is a graph that illustrates the change in pH of a solution as a titrant (a solution of known concentration) is gradually added to another solution (with an unknown concentration). By plotting pH against the volume of titrant added, the curve provides a visual representation of the acid-base reaction occurring. It helps in determining the equivalence point of the titration, which is when the moles of acid and base have completely reacted. Furthermore, the shape of the curve and the pH at different points can reveal the strengths of the acid and base involved (i.e., whether they are strong or weak) and the nature of the resulting salt solution.

2. How do titration curves differ when strong acids/bases are involved compared to weak acids/bases?

Titration curves involving strong acids and strong bases exhibit a sharp and significant change in pH (a steep vertical region) around the equivalence point. The pH at the equivalence point for a strong acid-strong base titration is typically close to 7, indicating a neutral solution.

When a weak acid or weak base is involved, the titration curve looks different. The initial pH (or pOH) will be less extreme compared to a strong acid or base of the same concentration due to the partial dissociation of the weak electrolyte. The pH change near the equivalence point is less abrupt and the vertical region is shorter. Additionally, the pH at the equivalence point will not be neutral. For a weak acid-strong base titration, the pH at equivalence will be greater than 7 (basic), while for a strong acid-weak base titration, it will be less than 7 (acidic) due to the hydrolysis of the salt formed. Weak acid/base titrations also show a buffering region before the equivalence point, where the pH changes gradually upon addition of the titrant.

3. What is the significance of the equivalence point on a titration curve?

The equivalence point is a crucial point on a titration curve because it signifies that stoichiometrically equivalent amounts of the acid and base have reacted. This point is often identified by the steepest change in pH on the curve, especially in strong acid-strong base titrations. The volume of titrant added to reach the equivalence point is essential for calculating the concentration of the unknown solution using stoichiometry.

4. How can the strength of an acid or base be determined from its titration curve?

The strength of an acid or base can be inferred from several features of the titration curve. Strong acids have a very low initial pH, while strong bases have a very high initial pH. Weak acids and bases start at a less extreme pH. The sharpness of the pH change near the equivalence point is more pronounced for strong acid-strong base titrations. Furthermore, the presence of a buffering region, where the pH changes gradually, indicates the titration of a weak acid or weak base. For a weak acid, the pH at the half-equivalence point (where half of the acid has been neutralized) is equal to its pKa value, allowing for the determination of the acid dissociation constant (Ka). Similarly, for a weak base, the pOH at the half-equivalence point equals its pKb.

5. What is a buffer region on a titration curve and when does it occur?

A buffer region is a portion of the titration curve where the pH of the solution changes very gradually upon the addition of a titrant. This region occurs during the titration of a weak acid with a strong base (or vice versa) before the equivalence point is reached. In this region, a mixture of the weak acid (or base) and its conjugate base (or acid) exists in significant amounts, enabling the solution to resist changes in pH upon addition of small amounts of acid or base. The buffering capacity is maximum when the concentrations of the weak acid/base and its conjugate are equal, which corresponds to the pH being equal to the pKa of the weak acid (or pOH equal to the pKb of the weak base).

6. How is the pH at the equivalence point determined for different types of titrations?

The pH at the equivalence point depends on the nature of the salt formed during the neutralization reaction.

  • Strong acid - strong base: The salt formed is neutral, so the pH at the equivalence point is approximately 7.
  • Weak acid - strong base: The salt formed contains the conjugate base of the weak acid, which will hydrolyze in water to produce hydroxide ions (OH-), resulting in a pH greater than 7 (basic).
  • Strong acid - weak base: The salt formed contains the conjugate acid of the weak base, which will hydrolyze in water to produce hydronium ions (H3O+), resulting in a pH less than 7 (acidic).
  • Weak acid - weak base: The pH at the equivalence point depends on the relative strengths of the weak acid and weak base (their Ka and Kb values). If Ka > Kb, the solution will be acidic; if Kb > Ka, it will be basic; and if Ka ≈ Kb, it will be approximately neutral.

7. What is the relationship between the pH at the half-equivalence point and the pKa of a weak acid?

For the titration of a weak acid with a strong base, the half-equivalence point is the point at which exactly half of the weak acid has been neutralized to form its conjugate base. At this point, the concentration of the weak acid ([HA]) is equal to the concentration of its conjugate base ([A-]). According to the Henderson-Hasselbalch equation (pH = pKa + log([A-]/[HA])), when [A-] = [HA], the log term becomes log(1) = 0. Therefore, at the half-equivalence point, the pH of the solution is equal to the pKa of the weak acid. This provides a convenient experimental method for determining the pKa value of a weak acid from its titration curve.

8. What are some practical applications of titration curves?

Titration curves have significant practical applications in various fields, including:

  • Determining the concentration of unknown solutions: By analyzing the equivalence point and using stoichiometry.
  • Identifying unknown acids or bases: By examining the shape of the curve and determining pKa or pKb values.
  • Studying the behavior of buffer solutions: Understanding the buffer region and its capacity to resist pH changes.
  • Quality control in industries: Such as in the food and pharmaceutical industries to determine the amounts of specific substances.
  • Environmental monitoring: For analyzing the acidity or alkalinity of water samples.
  • Biochemistry: In studying the ionization of biological molecules like amino acids and proteins, which exhibit multiple pKa values and complex titration curves.
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